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] | {
"indices": [
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],
"values": [
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]
} | {
"context": "With n bits of address, we can uniquely\nidentify 2n locations. Ten bits provide 1024 locations, which is approximately\n1000. If we have 20 bits to represent each address, we have 220 uniquely identi-\nable locations, which is approximately one million. With 30 bits, we have 230\nlocations, which is approximately one billion. In the same way we use the prexes\nkilo to represent 210 (approximately 1000) and mega to represent 220 (approx-\nimately one million), we use the prex giga to represent 230 (approximately\none billion)."
} |
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] | {
"indices": [
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],
"values": [
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]
} | {
"context": "With 30 bits, we have 230\nlocations, which is approximately one billion. In the same way we use the prexes\nkilo to represent 210 (approximately 1000) and mega to represent 220 (approx-\nimately one million), we use the prex giga to represent 230 (approximately\none billion). Thus, 2 giga really corresponds to the number of uniquely iden-\ntiable locations that can be specied with 31 address bits."
} |
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} | {
"context": "In the same way we use the prexes\nkilo to represent 210 (approximately 1000) and mega to represent 220 (approx-\nimately one million), we use the prex giga to represent 230 (approximately\none billion). Thus, 2 giga really corresponds to the number of uniquely iden-\ntiable locations that can be specied with 31 address bits. We say the address\nspace is 231, which is exactly 2,147,483,648 locations, rather than 2,000,000,000,\nalthough we colloquially refer to it as two billion."
} |
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"indices": [
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"values": [
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} | {
"context": "Thus, 2 giga really corresponds to the number of uniquely iden-\ntiable locations that can be specied with 31 address bits. We say the address\nspace is 231, which is exactly 2,147,483,648 locations, rather than 2,000,000,000,\nalthough we colloquially refer to it as two billion.\n3.5.2 Addressability\nThe number of bits stored in each memory location is the memorys addressabil-\nity. A 2-gigabyte memory (written 2GB) is a memory consisting of 2,147,483,648\nmemory locations, each containing one byte (i."
} |
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} | {
"context": "2 Addressability\nThe number of bits stored in each memory location is the memorys addressabil-\nity. A 2-gigabyte memory (written 2GB) is a memory consisting of 2,147,483,648\nmemory locations, each containing one byte (i.e., eight bits) of storage. Most\nmemories are byte-addressable. The reason is historical; most computers got their\nstart processing data, and one character stroke on the keyboard corresponds to one\n8-bit ASCII code, as we learned in Chapter 2."
} |
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} | {
"context": "Most\nmemories are byte-addressable. The reason is historical; most computers got their\nstart processing data, and one character stroke on the keyboard corresponds to one\n8-bit ASCII code, as we learned in Chapter 2. If the memory is byte-addressable,\nthen each ASCII character occupies one location in memory. Uniquely identi-\nfying each byte of memory allows individual bytes of stored information to be\nchanged easily."
} |
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"context": "If the memory is byte-addressable,\nthen each ASCII character occupies one location in memory. Uniquely identi-\nfying each byte of memory allows individual bytes of stored information to be\nchanged easily.\nMany computers that have been designed specically to perform large scien-\ntic calculations are 64-bit addressable. This is due to the fact that numbers used\nin scientic calculations are often represented as 64-bit oating-point quantities."
} |
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} | {
"context": "Many computers that have been designed specically to perform large scien-\ntic calculations are 64-bit addressable. This is due to the fact that numbers used\nin scientic calculations are often represented as 64-bit oating-point quantities.\nRecall that we discussed the oating-point data type in Chapter 2. Since scientic\ncalculations are likely to use numbers that require 64 bits to represent them, it is\nreasonable to design a memory for such a computer that stores one such number\nin each uniquely identiable memory location."
} |
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} | {
"context": "Recall that we discussed the oating-point data type in Chapter 2. Since scientic\ncalculations are likely to use numbers that require 64 bits to represent them, it is\nreasonable to design a memory for such a computer that stores one such number\nin each uniquely identiable memory location.\n3.5.3 A 22-by-3-Bit Memory\nFigure 3.20 illustrates a memory of size 22 by 3 bits. That is, the memory\nhas an address space of four locations and an addressability of three bits."
} |
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} | {
"context": "20 illustrates a memory of size 22 by 3 bits. That is, the memory\nhas an address space of four locations and an addressability of three bits.\nA memory of size 22 requires two bits to specify the address. We describe\nthe two-bit address as A[1:0]. A memory of addressability three stores three\nbits of information in each memory location. We describe the three bits\nof data as D[2:0]. In both cases, our notation A[high:low] and D[high:low]\nreects the fact that we have numbered the bits of address and data from\nright to left, in order, starting with the rightmost bit, which is numbered 0."
} |
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] | {
"indices": [
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],
"values": [
0.5484285879196836,
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0.7846436956777691,
0.7083679443770776,
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]
} | {
"context": " We describe the three bits\nof data as D[2:0]. In both cases, our notation A[high:low] and D[high:low]\nreects the fact that we have numbered the bits of address and data from\nright to left, in order, starting with the rightmost bit, which is numbered 0"
} |
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"indices": [
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"values": [
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} | {
"context": "A memory of addressability three stores three\nbits of information in each memory location. We describe the three bits\nof data as D[2:0]. In both cases, our notation A[high:low] and D[high:low]\nreects the fact that we have numbered the bits of address and data from\nright to left, in order, starting with the rightmost bit, which is numbered 0.\nThe notation [high:low] means a sequence of high low + 1 bits such that\nhigh is the bit number of the leftmost (or high) bit number in the sequence\nand low is the bit number of the rightmost (or low) bit number in the sequence."
} |
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] | {
"indices": [
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],
"values": [
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} | {
"context": "In both cases, our notation A[high:low] and D[high:low]\nreects the fact that we have numbered the bits of address and data from\nright to left, in order, starting with the rightmost bit, which is numbered 0.\nThe notation [high:low] means a sequence of high low + 1 bits such that\nhigh is the bit number of the leftmost (or high) bit number in the sequence\nand low is the bit number of the rightmost (or low) bit number in the sequence.."
} |
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] | {
"indices": [
1381880991,
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],
"values": [
0.5484285879196836,
0.8292920113709695,
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0.7846436956777691,
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]
} | {
"context": "\nThe notation [high:low] means a sequence of high low + 1 bits such that\nhigh is the bit number of the leftmost (or high) bit number in the sequence\nand low is the bit number of the rightmost (or low) bit number in the sequence."
} |
728721 | [
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"indices": [
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]
} | {
"context": "D [1]\nD[2]\nD[0]\nFigure 3.20\nA 22-by-3-bit memory.\nAccesses of memory require decoding the address bits. Note that the address\ndecoder takes as input the address bits A[1:0] and asserts exactly one of its four\noutputs, corresponding to the word line being addressed. In Figure 3.20, each row\nof the memory corresponds to a unique three-bit word, thus the term word line.\nMemory can be read by applying the address A[1:0], which asserts the word line\nto be read."
} |
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] | {
"indices": [
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],
"values": [
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} | {
"context": "20, each row\nof the memory corresponds to a unique three-bit word, thus the term word line.\nMemory can be read by applying the address A[1:0], which asserts the word line\nto be read. Note that each bit of the memory is ANDed with its word line and then\nORed with the corresponding bits of the other words. Since only one word line\ncan be asserted at a time, this is eectively a mux with the output of the decoder\nproviding the select function to each bit line."
} |
931523 | [
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818459139,
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],
"values": [
0.46785238308125726,
0.7250884400239858,
0.46785238308125726,
0.46785238308125726,
0.7785999733411075,
0.7250884400239858,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.6374651681242771,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.46785238308125726,
0.6374651681242771,
0.46785238308125726,
0.46785238308125726
]
} | {
"context": "Note that each bit of the memory is ANDed with its word line and then\nORed with the corresponding bits of the other words. Since only one word line\ncan be asserted at a time, this is eectively a mux with the output of the decoder\nproviding the select function to each bit line. Thus, the appropriate word is read\nat D[2:0].\nFigure 3.21 shows the process of reading location 3. The code for 3 is 11."
} |
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] | {
"indices": [
1207234426,
570652574,
2876684594,
3449948193,
720173232,
264741300,
1853176582,
2560416690,
2132027491,
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],
"values": [
0.4633143131816905,
0.4633143131816905,
0.4633143131816905,
0.4633143131816905,
0.6332396382760778,
0.721437915187976,
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0.6332396382760778,
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0.4633143131816905,
0.721437915187976,
0.6332396382760778,
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0.4633143131816905
]
} | {
"context": "21 shows the process of reading location 3. The code for 3 is 11.\nThe address A[1:0]=11 is decoded, and the bottom word line is asserted. Note\nthat the three other decoder outputs are not asserted. That is, they have the value\n0. The value stored in location 3 is 101. These three bits are each ANDed with\ntheir word line producing the bits 101, which are supplied to the three output\nOR gates."
} |
162805 | [
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] | {
"indices": [
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],
"values": [
0.6549466811756126,
0.6549466811756126,
0.6549466811756126,
0.6549466811756126,
0.7400676094394503,
0.6549466811756126,
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]
} | {
"context": "The value stored in location 3 is 101. These three bits are each ANDed with\ntheir word line producing the bits 101, which are supplied to the three output\nOR gates. Note that all other inputs to the OR gates are 0, since they have been\nproduced by ANDing with their unasserted word lines. The result is that D[2:0]\n= 101. That is, the value stored in location 3 is output by the OR gates."
} |
985062 | [
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] | {
"indices": [
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],
"values": [
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]
} | {
"context": " The result is that D[2:0]\n= 101. That is, the value stored in location 3 is output by the OR gates. Memory"
} |
264983 | [
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} | {
"context": "78\nD[1]\nD[2]\nD[0]\n \n1\n0\n1\nFigure 3.21\nReading location 3 in our 22-by-3-bit memory.\ncan be written in a similar fashion. The address specied by A[1:0] is presented to\nthe address decoder, resulting in the correct word line being asserted. With write\nenable (WE) also asserted, the three bits D[2:0] can be written into the three gated\nlatches corresponding to that word line.\n3.6 Sequential Logic Circuits\nIn Section 3."
} |
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} | {
"context": "3.6 Sequential Logic Circuits\nIn Section 3.3, we discussed digital logic structures that process information\n(decision structures, we call them) wherein the outputs depend solely on the val-\nues that are present on the inputs now. Examples are muxes, decoders, and full\nadders. We call these structures combinational logic circuits. In these circuits,\nthere is no sense of the past. Indeed, there is no capability for storing any infor-\nmation about anything that happened before the present time."
} |
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} | {
"context": " In these circuits,\nthere is no sense of the past. Indeed, there is no capability for storing any infor-\nmation about anything that happened before the present time. In Sections 3.4\nand 3.5, we described structures that do store informationin Section 3.4, some\nbasic storage elements, and in Section 3.5, a simple 22-by-3-bit memory."
} |
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} | {
"context": "Figure 3.22\nSequential logic circuit block diagram.\nIn this section, we discuss digital logic structures that can both process infor-\nmation (i.e., make decisions) and store information. That is, these structures base\ntheir decisions not only on the input values now present, but also (and this is\nvery important) on what has happened before. These structures are usually called\nsequential logic circuits."
} |
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} | {
"context": "That is, these structures base\ntheir decisions not only on the input values now present, but also (and this is\nvery important) on what has happened before. These structures are usually called\nsequential logic circuits. They are distinguishable from combinational logic cir-\ncuits because, unlike combinational logic circuits, they contain storage elements\nthat allow them to keep track of prior history information."
} |
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} | {
"context": "These structures are usually called\nsequential logic circuits. They are distinguishable from combinational logic cir-\ncuits because, unlike combinational logic circuits, they contain storage elements\nthat allow them to keep track of prior history information. Figure 3.22 shows a\nblock diagram of a sequential logic circuit. Note the storage elements. Note also\nthat the output can be dependent on both the inputs now and the values stored in\nthe storage elements."
} |
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} | {
"context": "Note the storage elements. Note also\nthat the output can be dependent on both the inputs now and the values stored in\nthe storage elements. The values stored in the storage elements reect the history\nof what has happened before.\nSequential logic circuits are used to implement a very important class of\nmechanisms called nite state machines. We use nite state machines in essen-\ntially all branches of engineering."
} |
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} | {
"context": "Sequential logic circuits are used to implement a very important class of\nmechanisms called nite state machines. We use nite state machines in essen-\ntially all branches of engineering. For example, they are used as controllers of\nelectrical systems, mechanical systems, and aeronautical systems. A trac light\ncontroller that sets the trac light to red, yellow, or green depends on the light\nthat is currently on (history information) and input information from sensors such\nas trip wires on the road, a timer keeping track of how long the current light has\nbeen on, and perhaps optical devices that are monitoring trac."
} |
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} | {
"context": "For example, they are used as controllers of\nelectrical systems, mechanical systems, and aeronautical systems. A trac light\ncontroller that sets the trac light to red, yellow, or green depends on the light\nthat is currently on (history information) and input information from sensors such\nas trip wires on the road, a timer keeping track of how long the current light has\nbeen on, and perhaps optical devices that are monitoring trac.\nWe will see in Chapter 4 when we introduce the von Neumann model of a\ncomputer that a nite state machine is at the heart of the computer."
} |
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} | {
"context": "A trac light\ncontroller that sets the trac light to red, yellow, or green depends on the light\nthat is currently on (history information) and input information from sensors such\nas trip wires on the road, a timer keeping track of how long the current light has\nbeen on, and perhaps optical devices that are monitoring trac.\nWe will see in Chapter 4 when we introduce the von Neumann model of a\ncomputer that a nite state machine is at the heart of the computer. It controls the\nprocessing of information by the computer."
} |
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"context": "We will see in Chapter 4 when we introduce the von Neumann model of a\ncomputer that a nite state machine is at the heart of the computer. It controls the\nprocessing of information by the computer.\n3.6.1 A Simple Example: The Combination Lock\nA simple example shows the dierence between combinational logic structures\nand sequential logic structures. Suppose one wishes to secure a bicycle with a\nlock, but does not want to carry a key."
} |
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} | {
"context": "1 A Simple Example: The Combination Lock\nA simple example shows the dierence between combinational logic structures\nand sequential logic structures. Suppose one wishes to secure a bicycle with a\nlock, but does not want to carry a key. A common solution is the combination\nlock. The person memorizes a combination and uses it to open the lock. Two\ncommon types of locks are shown in Figure 3."
} |
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} | {
"context": "The person memorizes a combination and uses it to open the lock. Two\ncommon types of locks are shown in Figure 3.23.\nIn Figure 3.23a, the lock consists of a dial, with the numbers from 0 to 30\nequally spaced around its circumference. To open the lock, one needs to know\nthe combination. One such combination could be: R13-L22-R3. If this were\nthe case, one would open the lock by turning the dial two complete turns to the\nright (clockwise), and then continuing until the dial points to 13, followed by one."
} |
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-0.008776066824793816
]
] | {
"indices": [
2257684172,
2830370693,
2194093370,
1793830235,
580887246,
3743430521,
2203090375,
112049716,
2394752843,
527013590,
358389376,
3987085787,
1786548735,
2892017508,
2940655442,
648501015,
3075297601,
3551371075
],
"values": [
0.7977483332114234,
0.567993193137979,
0.567993193137979,
0.567993193137979,
0.567993193137979,
0.567993193137979,
0.567993193137979,
0.567993193137979,
0.7244842587629744,
0.7244842587629744,
0.567993193137979,
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0.567993193137979,
0.567993193137979
]
} | {
"context": " One such combination could be: R13-L22-R3. If this were\nthe case, one would open the lock by turning the dial two complete turns to the\nright (clockwise), and then continuing until the dial points to 13, followed by one"
} |
102481 | [
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} | {
"context": "80\n(a)\n(b)\nFigure 3.23\nCombination locks.\ncomplete turn to the left (counterclockwise), and then continuing until the dial\npoints to 22, followed by turning the dial again to the right (clockwise) until it\npoints to 3. At that point, the lock opens. What is important here is the sequence\nof the turns. The lock will not open, for example if one performed two turns to the\nright, and then stopped on 22 (instead of 13), followed by one complete turn to\nthe left, ending on 13, followed by one turn to the right, ending on 3."
} |
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] | {
"indices": [
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"values": [
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} | {
"context": "What is important here is the sequence\nof the turns. The lock will not open, for example if one performed two turns to the\nright, and then stopped on 22 (instead of 13), followed by one complete turn to\nthe left, ending on 13, followed by one turn to the right, ending on 3. That is, even\nthough the nal position of the dial is 3, and even though R22-L13-R3 uses the\nsame three numbers as the combination R13-L22-R3, the lock would not open."
} |
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0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985,
0.3977300477342985
]
} | {
"context": "The lock will not open, for example if one performed two turns to the\nright, and then stopped on 22 (instead of 13), followed by one complete turn to\nthe left, ending on 13, followed by one turn to the right, ending on 3. That is, even\nthough the nal position of the dial is 3, and even though R22-L13-R3 uses the\nsame three numbers as the combination R13-L22-R3, the lock would not open.\nWhy? Because the lock stores the previous rotations and makes its decision (open\nor dont open) on the basis of the the history of the past operations, that is, on the\ncorrect sequence being performed."
} |
394345 | [
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} | {
"context": "That is, even\nthough the nal position of the dial is 3, and even though R22-L13-R3 uses the\nsame three numbers as the combination R13-L22-R3, the lock would not open.\nWhy? Because the lock stores the previous rotations and makes its decision (open\nor dont open) on the basis of the the history of the past operations, that is, on the\ncorrect sequence being performed.\nAnother type of lock is shown in Figure 3."
} |
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} | {
"context": "Why? Because the lock stores the previous rotations and makes its decision (open\nor dont open) on the basis of the the history of the past operations, that is, on the\ncorrect sequence being performed.\nAnother type of lock is shown in Figure 3.23b. The mechanism consists of\n(usually) four wheels, each containing the digits 0 through 9. When the digits\nare lined up properly, the lock will open."
} |
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"indices": [
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"values": [
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} | {
"context": "The mechanism consists of\n(usually) four wheels, each containing the digits 0 through 9. When the digits\nare lined up properly, the lock will open. In this case, the combination is the set\nof four digits. Whether or not this lock opens is totally independent of the past\nrotations of the four wheels. The lock does not care at all about past rotations.\nThe only thing important is the current value of each of the four wheels."
} |
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} | {
"context": "The lock does not care at all about past rotations.\nThe only thing important is the current value of each of the four wheels. This is\na simple example of a combinational structure.\nIt is curious that in our everyday speech, both mechanisms are referred to\nas combination locks. In fact, only the lock of Figure 3.23b is a combinational\nlock. The lock of Figure 3.23a would be better called a sequential lock!\n3."
} |
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] | {
"indices": [
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"values": [
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} | {
"context": "The lock of Figure 3.23a would be better called a sequential lock!\n3.6.2 The Concept of State\nFor the mechanism of Figure 3.23a to work properly, it has to keep track of the\nsequence of rotations leading up to the opening of the lock. In particular, it has\nto dierentiate the correct sequence R13-L22-R3 from all other sequences. For\nexample, R22-L13-R3 must not be allowed to open the lock."
} |
420513 | [
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} | {
"context": "In particular, it has\nto dierentiate the correct sequence R13-L22-R3 from all other sequences. For\nexample, R22-L13-R3 must not be allowed to open the lock. Likewise, R10-L22-\nR3 must also not be allowed to open the lock.\nFor the lock of Figure 3.23a to work, it must identify several relevant\nsituations, as follows:\nA. The lock is not open, and NO relevant operations have been\nperformed."
} |
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"indices": [
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"values": [
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} | {
"context": "23a to work, it must identify several relevant\nsituations, as follows:\nA. The lock is not open, and NO relevant operations have been\nperformed.\nB. The lock is not open, but the user has just completed the\nR13 operation."
} |
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"indices": [
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"values": [
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} | {
"context": "C. The lock is not open, but the user has just completed R13,\nfollowed by L22.\nD. The lock is open, since the user has just completed R13,\nfollowed by L22, followed by R3.\nWe have labeled these four situations A, B, C, and D. We refer to each of these\nsituations as the state of the lock.\nThe notion of state is a very important concept in computer engineering, and\nactually, in just about all branches of engineering."
} |
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] | {
"indices": [
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"values": [
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} | {
"context": "We refer to each of these\nsituations as the state of the lock.\nThe notion of state is a very important concept in computer engineering, and\nactually, in just about all branches of engineering. The state of a mechanism\nmore generally, the state of a systemis a snapshot of that system in which all\nrelevant items are explicitly expressed.\nThat is: The state of a system is a snapshot of all the relevant elements of the\nsystem at the moment the snapshot is taken."
} |
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"values": [
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} | {
"context": "The state of a mechanism\nmore generally, the state of a systemis a snapshot of that system in which all\nrelevant items are explicitly expressed.\nThat is: The state of a system is a snapshot of all the relevant elements of the\nsystem at the moment the snapshot is taken.\nIn the case of the lock of Figure 3.23a, there are four states A, B, C, and D.\nEither the lock is open (State D), or if it is not open, we have already performed\neither zero (State A), one (State B), or two (State C) correct operations."
} |
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"values": [
0.3788047929035087,
0.6465681502236086,
0.8591152295490122,
0.6465681502236086,
0.6465681502236086,
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0.5494683436744018,
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0.3788047929035087,
0.3788047929035087,
0.3788047929035087,
0.3788047929035087,
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]
} | {
"context": "23a, there are four states A, B, C, and D.\nEither the lock is open (State D), or if it is not open, we have already performed\neither zero (State A), one (State B), or two (State C) correct operations. This is\nthe sum total of all possible states that can exist.\nQuestion: Why are there exactly four states needed to describe the combina-\ntion lock of Figure 3.23a? Can you think of a snapshot of the combination lock\nafter an operation (Rn or Ln) that requires a fth state because it is not covered\nby one of the four states A, B, C, or D?\nThere are many examples of systems that you are familiar with that can be\neasily described by means of states."
} |
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} | {
"context": "Question: Why are there exactly four states needed to describe the combina-\ntion lock of Figure 3.23a? Can you think of a snapshot of the combination lock\nafter an operation (Rn or Ln) that requires a fth state because it is not covered\nby one of the four states A, B, C, or D?\nThere are many examples of systems that you are familiar with that can be\neasily described by means of states.\nThe state of a game of basketball can be described by the scoreboard in the\nbasketball arena."
} |
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} | {
"context": "23a? Can you think of a snapshot of the combination lock\nafter an operation (Rn or Ln) that requires a fth state because it is not covered\nby one of the four states A, B, C, or D?\nThere are many examples of systems that you are familiar with that can be\neasily described by means of states.\nThe state of a game of basketball can be described by the scoreboard in the\nbasketball arena. Figure 3."
} |
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} | {
"context": "\nThe state of a game of basketball can be described by the scoreboard in the\nbasketball arena. Figure 3.24 shows the state of the basketball game as Texas 73,\nOklahoma 68, 7 minutes and 38 seconds left in the second half, 14 seconds left on\nthe s\nfouls\nball\nFigure 3.24\nAn example of a state."
} |
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"context": "82\n(a)\n(b)\n(c)\nFigure 3.25\nThree states in a tic-tac-toe machine.\na two-point shot, the new state would be described by the updated scoreboard.\nThat is, the score would then be Texas 75, Oklahoma 68, the time remaining in\nthe game would be 7 minutes and 26 seconds, the shot clock would be back to 25\nseconds, and Oklahoma would have the ball.\nThe game of tic-tac-toe can also be described in accordance with the notion\nof state."
} |
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} | {
"context": "That is, the score would then be Texas 75, Oklahoma 68, the time remaining in\nthe game would be 7 minutes and 26 seconds, the shot clock would be back to 25\nseconds, and Oklahoma would have the ball.\nThe game of tic-tac-toe can also be described in accordance with the notion\nof state. Recall that the game is played by two people (or, in our case, a person\nand the computer). The state is a snapshot of the game in progress each time the\ncomputer asks the person to make a move."
} |
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} | {
"context": "Recall that the game is played by two people (or, in our case, a person\nand the computer). The state is a snapshot of the game in progress each time the\ncomputer asks the person to make a move. The game is played as follows: There\nare nine locations on the diagram. The person and then the computer take turns\nplacing an X (the person) and an O (the computer) in an empty location. The\nperson goes rst."
} |
309784 | [
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} | {
"context": "The person and then the computer take turns\nplacing an X (the person) and an O (the computer) in an empty location. The\nperson goes rst. The winner is the rst to place three symbols (three Xs for the\nperson, three Os for the computer) in a straight line, either vertically, horizontally,\nor diagonally.\nThe initial state, before either the person or the computer has had a turn, is\nshown in Figure 3."
} |
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} | {
"context": "The winner is the rst to place three symbols (three Xs for the\nperson, three Os for the computer) in a straight line, either vertically, horizontally,\nor diagonally.\nThe initial state, before either the person or the computer has had a turn, is\nshown in Figure 3.25a. Figure 3.25b shows a possible state of the game when the\nperson is prompted for a second move, if he/she put an X in the upper left corner\nas his/her rst move, and the computer followed with an O in the middle square\nas its rst move."
} |
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"values": [
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} | {
"context": "Figure 3.25b shows a possible state of the game when the\nperson is prompted for a second move, if he/she put an X in the upper left corner\nas his/her rst move, and the computer followed with an O in the middle square\nas its rst move. Figure 3.25c shows a possible state of the game when the person\nis prompted for a third move if he/she put an X in the upper right corner on the\nsecond move, and the computer followed by putting its second O in the upper\nmiddle location."
} |
996980 | [
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} | {
"context": "Figure 3.25c shows a possible state of the game when the person\nis prompted for a third move if he/she put an X in the upper right corner on the\nsecond move, and the computer followed by putting its second O in the upper\nmiddle location.\nOne nal example: a very old soft drink machine, when drinks sold for\n15 cents, and the machine would only take nickels (5 cents) and dimes (10 cents)\nand not be able to give change."
} |
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} | {
"context": "25c shows a possible state of the game when the person\nis prompted for a third move if he/she put an X in the upper right corner on the\nsecond move, and the computer followed by putting its second O in the upper\nmiddle location.\nOne nal example: a very old soft drink machine, when drinks sold for\n15 cents, and the machine would only take nickels (5 cents) and dimes (10 cents)\nand not be able to give change.\nThe state of the machine can be described as the amount of money inserted,\nand whether the machine is open (so one can remove a bottle)."
} |
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} | {
"context": "One nal example: a very old soft drink machine, when drinks sold for\n15 cents, and the machine would only take nickels (5 cents) and dimes (10 cents)\nand not be able to give change.\nThe state of the machine can be described as the amount of money inserted,\nand whether the machine is open (so one can remove a bottle). There are only\nthree possible states:\nA. The lock is open, so a bottle can be (or has been!) removed."
} |
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} | {
"context": "There are only\nthree possible states:\nA. The lock is open, so a bottle can be (or has been!) removed.\nB. The lock is not open, but 5 cents has been inserted.\nC. The lock is not open, but 10 cents has been inserted.\n3.6.3 The Finite State Machine and Its State Diagram\nWe have seen that a state is a snapshot of all relevant parts of a system at a\nparticular point in time. At other times, that system can be in other states."
} |
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} | {
"context": "3 The Finite State Machine and Its State Diagram\nWe have seen that a state is a snapshot of all relevant parts of a system at a\nparticular point in time. At other times, that system can be in other states. We\nhave described four systems: a combination lock, a basketball game, a tic-tac-\ntoe machine, and a very old soft drink machine when a bottle of cola cost only"
} |
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} | {
"context": "15 cents. The behavior of each of these systems can be specied by a nite state\nmachine, and represented as a state diagram.\nA nite state machine consists of ve elements:\n1. a nite number of states\n2. a nite number of external inputs\n3. a nite number of external outputs\n4. an explicit specication of all state transitions\n5. an explicit specication of what determines each external\noutput value."
} |
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} | {
"context": "an explicit specication of all state transitions\n5. an explicit specication of what determines each external\noutput value.\nThe set of states represents all possible situations (or snapshots) that the sys-\ntem can be in. Each state transition describes what it takes to get from one state\nto another.\nLets examine the nite state machines for these four systems.\nThe Combination Lock\nA state diagram is a convenient representation of a\nnite state machine."
} |
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} | {
"context": "Lets examine the nite state machines for these four systems.\nThe Combination Lock\nA state diagram is a convenient representation of a\nnite state machine. Figure 3.26 is a state diagram for the combination lock.\nRecall, we identied four states A, B, C, and D. Which state we are in depends\non the progress we have made in getting from a random initial state to the lock\nbeing open. In the state diagram of Figure 3."
} |
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] | {
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"values": [
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} | {
"context": "Which state we are in depends\non the progress we have made in getting from a random initial state to the lock\nbeing open. In the state diagram of Figure 3.26, each circle corresponds to one\nof the four states, A, B, C, or D.\nThe external inputs are R13, L22, R3, and R-other-than-13, L-other-than-22,\nand R-other-than-3.\nThe external output is either the lock is open or the lock is not open."
} |
112039 | [
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"indices": [
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"values": [
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} | {
"context": "The external inputs are R13, L22, R3, and R-other-than-13, L-other-than-22,\nand R-other-than-3.\nThe external output is either the lock is open or the lock is not open. (One\nlogical variable will suce to describe that!) As shown in the state diagram, in\nstates A, B, and C, the combination lock is locked. In state D, the combination\nlo\nth\nFigure 3.26\nState diagram of the combination lock of Figure 3."
} |
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0.2646920680999756,
0.04290862753987312,
0.0579104982316494
]
] | {
"indices": [
722829366,
2830370693,
2626552127,
3537305573,
818459139,
2513202682,
1284918442,
112049716,
1265860241
],
"values": [
0.7839362378661929,
0.7839362378661929,
0.6446506032632968,
0.6446506032632968,
0.7839362378661929,
0.6446506032632968,
0.6446506032632968,
0.6446506032632968,
0.6446506032632968
]
} | {
"context": " In state D, the combination\nlo\nth\nFigure 3.26\nState diagram of the combination lock of Figure 3.23a."
} |
748265 | [
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"indices": [
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"values": [
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} | {
"context": "on each arc species which state the system is coming from and which state it is\ngoing to. We refer to the state the system is coming from as the current state,\nand the state it is going to as the next state. The combination lock has eight state\ntransitions. Associated with each transition is the input that causes the transition\nfrom the current state to the next state. For example, R13 causes the transition\nfrom state A to state B."
} |
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] | {
"indices": [
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],
"values": [
0.47720054860988836,
0.8202698511471521,
0.6460876948075268,
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0.7325014542133561,
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]
} | {
"context": "Associated with each transition is the input that causes the transition\nfrom the current state to the next state. For example, R13 causes the transition\nfrom state A to state B.\nA couple of things are worth noting. First, it is usually the case that from a\ncurrent state there are multiple transitions to next states. The state transition that\noccurs depends on both the current state and the value of the external input."
} |
869824 | [
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] | {
"indices": [
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"values": [
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]
} | {
"context": "First, it is usually the case that from a\ncurrent state there are multiple transitions to next states. The state transition that\noccurs depends on both the current state and the value of the external input. For\nexample, if the combination lock is in state B, and the input is L22, the next state\nis state C. If the current state is state B and the input is anything other than L22,\nthe next state is state A."
} |
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] | {
"indices": [
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],
"values": [
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} | {
"context": "For\nexample, if the combination lock is in state B, and the input is L22, the next state\nis state C. If the current state is state B and the input is anything other than L22,\nthe next state is state A. In short, the next state is determined by the combination\nof the current state and the current external input.\nThe output values of a system can also be determined by the combination of\nthe current state and the value of the current external input."
} |
714255 | [
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] | {
"indices": [
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],
"values": [
0.45449725721703593,
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]
} | {
"context": "In short, the next state is determined by the combination\nof the current state and the current external input.\nThe output values of a system can also be determined by the combination of\nthe current state and the value of the current external input. However, as is the case\nfor the combination lock, where states A, B, and C specify the lock is locked,\nand state D species the lock is unlocked, the output can also be determined\nsolely by the current state of the system."
} |
542852 | [
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"indices": [
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"values": [
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} | {
"context": "The output values of a system can also be determined by the combination of\nthe current state and the value of the current external input. However, as is the case\nfor the combination lock, where states A, B, and C specify the lock is locked,\nand state D species the lock is unlocked, the output can also be determined\nsolely by the current state of the system. In all the systems we will study in this\nbook, the output values will be specied solely by the current state of the system."
} |
429253 | [
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} | {
"context": "However, as is the case\nfor the combination lock, where states A, B, and C specify the lock is locked,\nand state D species the lock is unlocked, the output can also be determined\nsolely by the current state of the system. In all the systems we will study in this\nbook, the output values will be specied solely by the current state of the system.\nA Very Old Soft Drink Machine\nFigure 3."
} |
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"indices": [
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"values": [
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} | {
"context": "In all the systems we will study in this\nbook, the output values will be specied solely by the current state of the system.\nA Very Old Soft Drink Machine\nFigure 3.27 is the state diagram for the soft\ndrink machine.\nThe soft drink machine has only three states: 5 cents has been inserted,\n10 cents has been inserted, and at least 15 cents has been inserted. Transitions\nare caused by the insertion (the input) of a nickel or a dime."
} |
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} | {
"context": "The soft drink machine has only three states: 5 cents has been inserted,\n10 cents has been inserted, and at least 15 cents has been inserted. Transitions\nare caused by the insertion (the input) of a nickel or a dime. The output is asso-\nFigure 3.27\nState diagram of the soft drink machine.\nA Basketball Game\nWe could similarly draw a state diagram for the basketball\ngame we described earlier, where each state would be one possible conguration\nof the scoreboard."
} |
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} | {
"context": "27\nState diagram of the soft drink machine.\nA Basketball Game\nWe could similarly draw a state diagram for the basketball\ngame we described earlier, where each state would be one possible conguration\nof the scoreboard. A transition would occur if either the referee blew a whistle or\nthe other team got the ball. We showed earlier the transition that would be caused\nby Texas scoring a two-point shot."
} |
581240 | [
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} | {
"context": " A transition would occur if either the referee blew a whistle or\nthe other team got the ball. We showed earlier the transition that would be caused\nby Texas scoring a two-point shot. Clearly, the number of states in the nite state\nmachine describing a basketball game would be huge."
} |
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"context": "Also clearly, the number of legitimate transitions from one state to another is\nsmall, compared to the number of arcs one could draw connecting arbitrary pairs\nof states. For example, there is no arc from a score of Texas 68, Oklahoma 67 to\nTexas 75, Oklahoma 91, since no single input can cause that transition. The input\nis the activity that occurred on the basketball court since the last transition."
} |
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} | {
"context": "For example, there is no arc from a score of Texas 68, Oklahoma 67 to\nTexas 75, Oklahoma 91, since no single input can cause that transition. The input\nis the activity that occurred on the basketball court since the last transition. Some\ninput values are: Texas scored two points, Oklahoma scored three points, Texas\nstole the ball, Oklahoma successfully rebounded a Texas shot, and so forth."
} |
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0.5979998141595045,
0.33148541627088496,
0.49791820807062553,
0.33148541627088496,
0.33148541627088496,
0.33148541627088496,
0.33148541627088496,
0.49791820807062553,
0.49791820807062553,
0.33148541627088496,
0.33148541627088496,
0.33148541627088496,
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0.33148541627088496,
0.33148541627088496,
0.33148541627088496,
0.33148541627088496
]
} | {
"context": "The input\nis the activity that occurred on the basketball court since the last transition. Some\ninput values are: Texas scored two points, Oklahoma scored three points, Texas\nstole the ball, Oklahoma successfully rebounded a Texas shot, and so forth.\nThe output is the nal result of the game. The output has three values: Game\nstill in progress, Texas wins, Oklahoma wins.\nQuestion: Can one have an arc from a state where the score is Texas 30,\nOklahoma 28 to a state where the score is tied, Texas 30, Oklahoma 30? Is it\npossible to have two states, one where Texas is ahead 30-28 and the other where\nthe score is tied 30-30, but no arc between the two?\nA Tic-Tac-Toe Machine\nWe could also draw a state diagram for a tic-tac-toe\nmachine, in our case when a person is playing against a computer."
} |
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} | {
"context": "The output has three values: Game\nstill in progress, Texas wins, Oklahoma wins.\nQuestion: Can one have an arc from a state where the score is Texas 30,\nOklahoma 28 to a state where the score is tied, Texas 30, Oklahoma 30? Is it\npossible to have two states, one where Texas is ahead 30-28 and the other where\nthe score is tied 30-30, but no arc between the two?\nA Tic-Tac-Toe Machine\nWe could also draw a state diagram for a tic-tac-toe\nmachine, in our case when a person is playing against a computer. Each state is a\nrepresentation of the position of the game when the person is asked to put an X\ninto one of the empty cells."
} |
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"context": "Question: Can one have an arc from a state where the score is Texas 30,\nOklahoma 28 to a state where the score is tied, Texas 30, Oklahoma 30? Is it\npossible to have two states, one where Texas is ahead 30-28 and the other where\nthe score is tied 30-30, but no arc between the two?\nA Tic-Tac-Toe Machine\nWe could also draw a state diagram for a tic-tac-toe\nmachine, in our case when a person is playing against a computer. Each state is a\nrepresentation of the position of the game when the person is asked to put an X\ninto one of the empty cells. Figure 3."
} |
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0.7817858489589629,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.6417474696800065,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836,
0.4724802312930836
]
} | {
"context": "Each state is a\nrepresentation of the position of the game when the person is asked to put an X\ninto one of the empty cells. Figure 3.25 shows three states. The transition from the\nstate of Figure 3.25a to the state of Figure 3.25b is caused by the person putting\nan X in the top left cell, followed by the computer putting an O in the center cell.\nThe transition from the state of Figure 3."
} |
586204 | [
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"indices": [
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"values": [
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} | {
"context": "25b is caused by the person putting\nan X in the top left cell, followed by the computer putting an O in the center cell.\nThe transition from the state of Figure 3.25b to the state of Figure 3.25c is caused\nby the person putting an X in the top right cell, followed by the computer putting\nan O in the top middle cell.\nSince there are nine cells, and each state has an X, an O, or nothing in each\ncell, there must be fewer than 39 states in the tic-tac-toe machine."
} |
551031 | [
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"indices": [
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"values": [
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} | {
"context": "25c is caused\nby the person putting an X in the top right cell, followed by the computer putting\nan O in the top middle cell.\nSince there are nine cells, and each state has an X, an O, or nothing in each\ncell, there must be fewer than 39 states in the tic-tac-toe machine. Clearly there\nare far fewer than that, due to various constraints of the game.\nThere are nine inputs, corresponding to the nine cells a person can put an\nX in."
} |
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} | {
"context": "Clearly there\nare far fewer than that, due to various constraints of the game.\nThere are nine inputs, corresponding to the nine cells a person can put an\nX in. There are three outputs: (a) game still in progress, (b) person wins, and\n(c) computer wins.\n3.6.4 The Synchronous Finite State Machine\nUp to now a transition from a current state to a next state in our nite state machine\nhappened when it happened."
} |
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} | {
"context": "6.4 The Synchronous Finite State Machine\nUp to now a transition from a current state to a next state in our nite state machine\nhappened when it happened. For example, a person could insert a nickel into the\nsoft drink machine and then wait 10 seconds or 10 minutes before inserting the\nnext coin into the machine. And the soft drink machine would not complain. It\nwould not dispense the soft drink until 15 cents was inserted, but it would wait\npatiently as long as necessary for the 15 cents to be inserted."
} |
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"context": "And the soft drink machine would not complain. It\nwould not dispense the soft drink until 15 cents was inserted, but it would wait\npatiently as long as necessary for the 15 cents to be inserted. That is, there is no\nxed amount of time between successive inputs to the nite state machine. This\nis true in the case of all four systems we have discussed. We say these systems are\nasynchronous because there is nothing synchronizing when each state transition\nmust occur."
} |
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} | {
"context": " This\nis true in the case of all four systems we have discussed. We say these systems are\nasynchronous because there is nothing synchronizing when each state transition\nmust occur.\nHowever, almost no computers work that way"
} |
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"context": "It\nwould not dispense the soft drink until 15 cents was inserted, but it would wait\npatiently as long as necessary for the 15 cents to be inserted. That is, there is no\nxed amount of time between successive inputs to the nite state machine. This\nis true in the case of all four systems we have discussed. We say these systems are\nasynchronous because there is nothing synchronizing when each state transition\nmust occur."
} |
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"context": "This\nis true in the case of all four systems we have discussed. We say these systems are\nasynchronous because there is nothing synchronizing when each state transition\nmust occur.\nHowever, almost no computers work that way. On the contrary, we say that\ncomputers are synchronous because the state transitions take place, one after the\nother, at identical xed units of time. They are controlled by a synchronous nite\nstate machine."
} |
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} | {
"context": " On the contrary, we say that\ncomputers are synchronous because the state transitions take place, one after the\nother, at identical xed units of time. They are controlled by a synchronous nite\nstate machine. We will save for Chapter 4 and beyond the state transitions that\noccur at identical, xed units of time that control a computer. In this chapter, we"
} |
393355 | [
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} | {
"context": "will take on a simpler task, the design of a trac controller, an admittedly simpler\nstructure, but one that is also controlled by a synchronous nite state machine.\nIt is worth pointing out that both the four asynchronous nite state machines\ndiscussed above and the synchronous nite state machine that controls a digital\ncomputer share an important characteristic: They carry out work, one state tran-\nsition at a time, moving closer to a goal. In the case of the combination lock, as\nlong as you make the correct moves, each state transition takes us closer to the\nlock opening."
} |
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} | {
"context": "It is worth pointing out that both the four asynchronous nite state machines\ndiscussed above and the synchronous nite state machine that controls a digital\ncomputer share an important characteristic: They carry out work, one state tran-\nsition at a time, moving closer to a goal. In the case of the combination lock, as\nlong as you make the correct moves, each state transition takes us closer to the\nlock opening. In the case of the soft drink machine, each state transition takes us\ncloser to enjoying the taste of the soft drink."
} |
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] | {
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"values": [
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} | {
"context": "In the case of the combination lock, as\nlong as you make the correct moves, each state transition takes us closer to the\nlock opening. In the case of the soft drink machine, each state transition takes us\ncloser to enjoying the taste of the soft drink. In the case of a computer, each state\ntransition takes us closer to solving a problem by processing a computer program\nthat someone has written."
} |
298032 | [
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} | {
"context": "In the case of the soft drink machine, each state transition takes us\ncloser to enjoying the taste of the soft drink. In the case of a computer, each state\ntransition takes us closer to solving a problem by processing a computer program\nthat someone has written.\n3.6.5 The Clock\nA synchronous nite state machine transitions from its current state to its next\nstate after an identical xed interval of time."
} |
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} | {
"context": "6.5 The Clock\nA synchronous nite state machine transitions from its current state to its next\nstate after an identical xed interval of time. Control of that synchronous behavior\nis in part the responsibility of the clock circuit.\nA clock circuit produces a signal, commonly referred to as THE clock, whose\nvalue alternates between 0 volts and some specied xed voltage. In digital logic\nterms, the clock is a signal whose value alternates between 0 and 1."
} |
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} | {
"context": "A clock circuit produces a signal, commonly referred to as THE clock, whose\nvalue alternates between 0 volts and some specied xed voltage. In digital logic\nterms, the clock is a signal whose value alternates between 0 and 1. Figure 3.28\nshows the value of the clock signal as a function of time. Each of the repeated\nsequence of identical intervals is referred to as a clock cycle. A clock cycle starts\nwhen the clock signal transitions from 0 to 1 and ends the next time the clock\nsignal transitions from 0 to 1."
} |