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"context": "1.7.2 The Algorithm\nThe rst step in the sequence of transformations is to transform the natural lan-\nguage description of the problem to an algorithm, and in so doing, get rid of the\nobjectionable characteristics of the natural language. An algorithm is a step-by-\nstep procedure that is guaranteed to terminate, such that each step is precisely\nstated and can be carried out by the computer."
} |
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"context": "2 The Algorithm\nThe rst step in the sequence of transformations is to transform the natural lan-\nguage description of the problem to an algorithm, and in so doing, get rid of the\nobjectionable characteristics of the natural language. An algorithm is a step-by-\nstep procedure that is guaranteed to terminate, such that each step is precisely\nstated and can be carried out by the computer. There are terms to describe each\nof these properties."
} |
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} | {
"context": "An algorithm is a step-by-\nstep procedure that is guaranteed to terminate, such that each step is precisely\nstated and can be carried out by the computer. There are terms to describe each\nof these properties.\nWe use the term deniteness to describe the notion that each step is precisely\nstated. A recipe for excellent pancakes that instructs the preparer to stir until\nlumpy lacks deniteness, since the notion of lumpiness is not precise."
} |
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} | {
"context": "We use the term deniteness to describe the notion that each step is precisely\nstated. A recipe for excellent pancakes that instructs the preparer to stir until\nlumpy lacks deniteness, since the notion of lumpiness is not precise.\nWe use the term eective computability to describe the notion that each step\ncan be carried out by a computer. A procedure that instructs the computer to take\nthe largest prime number lacks eective computability, since there is no largest\nprime number."
} |
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} | {
"context": "We use the term eective computability to describe the notion that each step\ncan be carried out by a computer. A procedure that instructs the computer to take\nthe largest prime number lacks eective computability, since there is no largest\nprime number.\nWe use the term niteness to describe the notion that the procedure termi-\nnates.\nFor every problem there are usually many dierent algorithms for solving\nthat problem."
} |
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} | {
"context": "We use the term niteness to describe the notion that the procedure termi-\nnates.\nFor every problem there are usually many dierent algorithms for solving\nthat problem. One algorithm may require the fewest steps. Another algorithm\nmay allow some steps to be performed concurrently. A computer that allows\nmore than one thing to be done at a time can often solve the problem in less\ntime, even though it is likely that the total number of steps to be performed has\nincreased."
} |
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} | {
"context": "Another algorithm\nmay allow some steps to be performed concurrently. A computer that allows\nmore than one thing to be done at a time can often solve the problem in less\ntime, even though it is likely that the total number of steps to be performed has\nincreased.\n1.7.3 The Program\nThe next step is to transform the algorithm into a computer program in one of the\nprogramming languages that are available."
} |
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} | {
"context": "7.3 The Program\nThe next step is to transform the algorithm into a computer program in one of the\nprogramming languages that are available. Programming languages are mechan-\nical languages. That is, unlike natural languages, mechanical languages did not\nevolve through human discourse. Rather, they were invented for use in specify-\ning a sequence of instructions to a computer. Therefore, mechanical languages do\nnot suer from failings such as ambiguity that would make them unacceptable for\nspecifying a computer program."
} |
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"context": "Rather, they were invented for use in specify-\ning a sequence of instructions to a computer. Therefore, mechanical languages do\nnot suer from failings such as ambiguity that would make them unacceptable for\nspecifying a computer program.\nThere are more than 1000 programming languages. Some have been designed\nfor use with particular applications, such as Fortran for solving scientic calcula-\ntions and COBOL for solving business data-processing problems."
} |
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} | {
"context": "There are more than 1000 programming languages. Some have been designed\nfor use with particular applications, such as Fortran for solving scientic calcula-\ntions and COBOL for solving business data-processing problems. In the second\nhalf of this book, we will use C and C++, languages that were designed for\nmanipulating low-level hardware structures.\nOther languages are useful for still other purposes."
} |
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} | {
"context": "In the second\nhalf of this book, we will use C and C++, languages that were designed for\nmanipulating low-level hardware structures.\nOther languages are useful for still other purposes. Prolog is the language of\nchoice for many applications that require the design of an expert system. LISP\nwas for years the language of choice of a substantial number of people working\non problems dealing with articial intelligence."
} |
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"context": "Prolog is the language of\nchoice for many applications that require the design of an expert system. LISP\nwas for years the language of choice of a substantial number of people working\non problems dealing with articial intelligence. Pascal is a language invented as\na vehicle for teaching beginning students how to program.\nThere are two kinds of programming languages, high-level languages and\nlow-level languages."
} |
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"context": "Pascal is a language invented as\na vehicle for teaching beginning students how to program.\nThere are two kinds of programming languages, high-level languages and\nlow-level languages. High-level languages are at a distance (a high level) from\nthe underlying computer. At their best, they are independent of the computer on\nwhich the programs will execute. We say the language is machine independent."
} |
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"indices": [
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} | {
"context": " At their best, they are independent of the computer on\nwhich the programs will execute. We say the language is machine independent."
} |
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} | {
"context": "All the languages mentioned thus far are high-level languages. Low-level lan-\nguages are tied to the computer on which the programs will execute. There is\ngenerally one such low-level language for each computer. That language is called\nthe assembly language for that computer.\n1.7.4 The ISA\nThe next step is to translate the program into the instruction set of the particular\ncomputer that will be used to carry out the work of the program."
} |
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} | {
"context": "7.4 The ISA\nThe next step is to translate the program into the instruction set of the particular\ncomputer that will be used to carry out the work of the program. The instruction\nset architecture (ISA) is the complete specication of the interface between pro-\ngrams that have been written and the underlying computer hardware that must\ncarry out the work of those programs.\nAn analogy that may be helpful in understanding the concept of an ISA is\nprovided by the automobile."
} |
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} | {
"context": "The instruction\nset architecture (ISA) is the complete specication of the interface between pro-\ngrams that have been written and the underlying computer hardware that must\ncarry out the work of those programs.\nAn analogy that may be helpful in understanding the concept of an ISA is\nprovided by the automobile. Corresponding to a computer program, represented\nas a sequence of 0s and 1s in the case of the computer, is the human sitting in the\ndrivers seat of a car."
} |
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"context": "An analogy that may be helpful in understanding the concept of an ISA is\nprovided by the automobile. Corresponding to a computer program, represented\nas a sequence of 0s and 1s in the case of the computer, is the human sitting in the\ndrivers seat of a car. Corresponding to the microprocessor hardware is the car\nitself. The ISA of the automobile is the specication of everything the human\nneeds to know to tell the automobile what to do, and everything the automobile\nneeds to know to carry out the tasks specied by the human driver."
} |
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} | {
"context": "Corresponding to the microprocessor hardware is the car\nitself. The ISA of the automobile is the specication of everything the human\nneeds to know to tell the automobile what to do, and everything the automobile\nneeds to know to carry out the tasks specied by the human driver. For example,\none element of the automobiles ISA is the pedal on the oor known as the\nbrake, and its function."
} |
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} | {
"context": "The ISA of the automobile is the specication of everything the human\nneeds to know to tell the automobile what to do, and everything the automobile\nneeds to know to carry out the tasks specied by the human driver. For example,\none element of the automobiles ISA is the pedal on the oor known as the\nbrake, and its function. The human knows that if he/she steps on the brake, the\ncar will stop."
} |
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} | {
"context": "For example,\none element of the automobiles ISA is the pedal on the oor known as the\nbrake, and its function. The human knows that if he/she steps on the brake, the\ncar will stop. The automobile knows that if it feels pressure from the human on\nthat pedal, the hardware of the automobile must engage those elements necessary\nto stop the car. The full ISA of the car includes the specication of the other\npedals, the steering wheel, the ignition key, the gears, windshield wipers, etc."
} |
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} | {
"context": "The automobile knows that if it feels pressure from the human on\nthat pedal, the hardware of the automobile must engage those elements necessary\nto stop the car. The full ISA of the car includes the specication of the other\npedals, the steering wheel, the ignition key, the gears, windshield wipers, etc. For\neach, the ISA species (a) what the human has to do to tell the automobile what\nhe/she wants done, and (b) correspondingly, what the automobile will interpret\nthose actions to mean so it (the automobile) can carry out the specied task."
} |
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} | {
"context": "The full ISA of the car includes the specication of the other\npedals, the steering wheel, the ignition key, the gears, windshield wipers, etc. For\neach, the ISA species (a) what the human has to do to tell the automobile what\nhe/she wants done, and (b) correspondingly, what the automobile will interpret\nthose actions to mean so it (the automobile) can carry out the specied task.\nThe ISA of a computer serves the same purpose as the ISA of an auto-\nmobile, except instead of the driver and the car, the ISA of a computer species\nthe interface between the computer program directing the computer hardware\nand the hardware carrying out those directions."
} |
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} | {
"context": "For\neach, the ISA species (a) what the human has to do to tell the automobile what\nhe/she wants done, and (b) correspondingly, what the automobile will interpret\nthose actions to mean so it (the automobile) can carry out the specied task.\nThe ISA of a computer serves the same purpose as the ISA of an auto-\nmobile, except instead of the driver and the car, the ISA of a computer species\nthe interface between the computer program directing the computer hardware\nand the hardware carrying out those directions. For example, consider the set of\ninstructions that the computer can carry outthat is, what operations the com-\nputer can perform and where to get the data needed to perform those operations."
} |
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} | {
"context": "The ISA of a computer serves the same purpose as the ISA of an auto-\nmobile, except instead of the driver and the car, the ISA of a computer species\nthe interface between the computer program directing the computer hardware\nand the hardware carrying out those directions. For example, consider the set of\ninstructions that the computer can carry outthat is, what operations the com-\nputer can perform and where to get the data needed to perform those operations.\nThe term opcode is used to describe the operation."
} |
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"context": "For example, consider the set of\ninstructions that the computer can carry outthat is, what operations the com-\nputer can perform and where to get the data needed to perform those operations.\nThe term opcode is used to describe the operation. The term operand is used to\ndescribe individual data values. The ISA species the acceptable representations\nfor operands. They are called data types."
} |
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"indices": [
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"values": [
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} | {
"context": "The ISA species the acceptable representations\nfor operands. They are called data types. A data type is a representation of an\noperand such that the computer can perform operations on that representation.\nThe ISA species the mechanisms that the computer can use to gure out where\nthe operands are located. These mechanisms are called addressing modes.\nThe number of opcodes, data types, and addressing modes specied by an\nISA vary among dierent ISAs."
} |
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] | {
"indices": [
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],
"values": [
0.513082210484419,
0.513082210484419,
0.6781947562785156,
0.6781947562785156,
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]
} | {
"context": " These mechanisms are called addressing modes.\nThe number of opcodes, data types, and addressing modes specied by an\nISA vary among dierent ISAs. Some ISAs have as few as a half dozen opcodes,\nwhereas others have as many as several hundred. Some ISAs have only one data\ntype, while others have more than a dozen"
} |
557437 | [
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} | {
"context": "The ISA species the mechanisms that the computer can use to gure out where\nthe operands are located. These mechanisms are called addressing modes.\nThe number of opcodes, data types, and addressing modes specied by an\nISA vary among dierent ISAs. Some ISAs have as few as a half dozen opcodes,\nwhereas others have as many as several hundred. Some ISAs have only one data\ntype, while others have more than a dozen."
} |
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] | {
"indices": [
376415374,
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],
"values": [
0.791501851540453,
0.4869299023387813,
0.791501851540453,
0.6549466811756126,
0.6549466811756126,
0.7400676094394503,
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]
} | {
"context": " Some ISAs have as few as a half dozen opcodes,\nwhereas others have as many as several hundred. Some ISAs have only one data\ntype, while others have more than a dozen. Some ISAs have one or two addressing\nmodes, whereas others have more than 20. The x86, the ISA used in the PC, has\nmore than 200 opcodes, more than a dozen data types, and more than two dozen\naddressing modes."
} |
522390 | [
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]
} | {
"context": "The ISA also species the number of unique locations that comprise the com-\nputers memory and the number of individual 0s and 1s that are contained in each\nlocation.\nMany ISAs are in use today. The most widely known example is the x86,\nintroduced by Intel Corporation in 1979 and currently also manufactured by\nAMD and other companies. Other ISAs and the companies responsible for them\ninclude ARM and THUMB (ARM), POWER and z/Architecture (IBM), and\nSPARC (Oracle)."
} |
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} | {
"context": "The most widely known example is the x86,\nintroduced by Intel Corporation in 1979 and currently also manufactured by\nAMD and other companies. Other ISAs and the companies responsible for them\ninclude ARM and THUMB (ARM), POWER and z/Architecture (IBM), and\nSPARC (Oracle).\nThe translation from a high-level language (such as C) to the ISA of the\ncomputer on which the program will execute (such as x86) is usually done by\na translating program called a compiler."
} |
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} | {
"context": "Other ISAs and the companies responsible for them\ninclude ARM and THUMB (ARM), POWER and z/Architecture (IBM), and\nSPARC (Oracle).\nThe translation from a high-level language (such as C) to the ISA of the\ncomputer on which the program will execute (such as x86) is usually done by\na translating program called a compiler. To translate from a program written in\nC to the x86 ISA, one would need a C to x86 compiler."
} |
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} | {
"context": "The translation from a high-level language (such as C) to the ISA of the\ncomputer on which the program will execute (such as x86) is usually done by\na translating program called a compiler. To translate from a program written in\nC to the x86 ISA, one would need a C to x86 compiler. For each high-level lan-\nguage and each desired target ISA, one must provide a corresponding compiler."
} |
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} | {
"context": "To translate from a program written in\nC to the x86 ISA, one would need a C to x86 compiler. For each high-level lan-\nguage and each desired target ISA, one must provide a corresponding compiler.\nThe translation from the unique assembly language of a computer to its ISA\nis done by an assembler.\n1.7.5 The Microarchitecture\nThe next step is the implementation of the ISA, referred to as its microarchitec-\nture."
} |
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} | {
"context": "7.5 The Microarchitecture\nThe next step is the implementation of the ISA, referred to as its microarchitec-\nture. The automobile analogy that we used in our discussion of the ISA is also\nuseful in showing the relationship between an ISA and a microarchitecture that\nimplements that ISA. The automobiles ISA describes what the driver needs to\nknow as he/she sits inside the automobile to make the automobile carry out the\ndrivers wishes."
} |
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} | {
"context": "The automobile analogy that we used in our discussion of the ISA is also\nuseful in showing the relationship between an ISA and a microarchitecture that\nimplements that ISA. The automobiles ISA describes what the driver needs to\nknow as he/she sits inside the automobile to make the automobile carry out the\ndrivers wishes. All automobiles have the same ISA. If there are three pedals on\nthe oor, it does not matter what manufacturer produced the car, the middle one\nis always the brake."
} |
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} | {
"context": "All automobiles have the same ISA. If there are three pedals on\nthe oor, it does not matter what manufacturer produced the car, the middle one\nis always the brake. The one on the right is always the accelerator, and the more\nit is depressed, the faster the car will move. Because there is only one ISA for\nautomobiles, one does not need one drivers license for Buicks and a dierent\ndrivers license for Hondas."
} |
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} | {
"context": "The one on the right is always the accelerator, and the more\nit is depressed, the faster the car will move. Because there is only one ISA for\nautomobiles, one does not need one drivers license for Buicks and a dierent\ndrivers license for Hondas.\nThe microarchitecture (or implementation) of the automobiles ISA, on\nthe other hand, is about what goes on underneath the hood. Here all automo-\nbile makes and models can be dierent, depending on what cost/performance\ntradeos the automobile designer made before the car was manufactured."
} |
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} | {
"context": "The microarchitecture (or implementation) of the automobiles ISA, on\nthe other hand, is about what goes on underneath the hood. Here all automo-\nbile makes and models can be dierent, depending on what cost/performance\ntradeos the automobile designer made before the car was manufactured. Some\nautomobiles come with disc brakes, others (in the past, at least) with drums.\nSome automobiles have eight cylinders, others run on six cylinders, and still oth-\ners have only four."
} |
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"context": "Some\nautomobiles come with disc brakes, others (in the past, at least) with drums.\nSome automobiles have eight cylinders, others run on six cylinders, and still oth-\ners have only four. Some are turbocharged, some are not. Some automobiles can\ntravel 60 miles on one gallon of gasoline, others are lucky to travel from one gas\nstation to the next without running out of gas. Some automobiles cost 6000 US\ndollars, others cost 200,000 US dollars."
} |
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} | {
"context": "Some automobiles can\ntravel 60 miles on one gallon of gasoline, others are lucky to travel from one gas\nstation to the next without running out of gas. Some automobiles cost 6000 US\ndollars, others cost 200,000 US dollars. In each case, the microarchitecture\nof the specic automobile is a result of the automobile designers decisions\nregarding the tradeos of cost and performance. The fact that the micro-\narchitecture of every model or make is dierent is a good reason to take ones\nHonda, when it is malfunctioning, to a Honda repair person, and not to a Buick\nrepair person."
} |
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} | {
"context": " In each case, the microarchitecture\nof the specic automobile is a result of the automobile designers decisions\nregarding the tradeos of cost and performance. The fact that the micro-\narchitecture of every model or make is dierent is a good reason to take ones\nHonda, when it is malfunctioning, to a Honda repair person, and not to a Buick\nrepair person"
} |
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} | {
"context": "Some automobiles cost 6000 US\ndollars, others cost 200,000 US dollars. In each case, the microarchitecture\nof the specic automobile is a result of the automobile designers decisions\nregarding the tradeos of cost and performance. The fact that the micro-\narchitecture of every model or make is dierent is a good reason to take ones\nHonda, when it is malfunctioning, to a Honda repair person, and not to a Buick\nrepair person."
} |
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} | {
"context": "In each case, the microarchitecture\nof the specic automobile is a result of the automobile designers decisions\nregarding the tradeos of cost and performance. The fact that the micro-\narchitecture of every model or make is dierent is a good reason to take ones\nHonda, when it is malfunctioning, to a Honda repair person, and not to a Buick\nrepair person.\nIn the previous section, we identied ISAs of several computer manufactur-\ners, including the x86 (Intel), the PowerPC (IBM and Motorola), and THUMB\n(ARM)."
} |
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} | {
"context": "The fact that the micro-\narchitecture of every model or make is dierent is a good reason to take ones\nHonda, when it is malfunctioning, to a Honda repair person, and not to a Buick\nrepair person.\nIn the previous section, we identied ISAs of several computer manufactur-\ners, including the x86 (Intel), the PowerPC (IBM and Motorola), and THUMB\n(ARM). Each has been implemented by many dierent microarchitectures."
} |
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} | {
"context": "\nIn the previous section, we identied ISAs of several computer manufactur-\ners, including the x86 (Intel), the PowerPC (IBM and Motorola), and THUMB\n(ARM). Each has been implemented by many dierent microarchitectures. For"
} |
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} | {
"context": "example, the x86s original implementation in 1979 was the 8086, followed by the\n80286, 80386, and 80486 in the 1980s. More recently, in 2001, Intel introduced\nthe Pentium IV microprocessor. Even more recently, in 2015, Intel introduced\nSkylake. Each of these x86 microprocessors has its own microarchitecture.\nThe story is the same for the PowerPC ISA, with more than a dozen dierent\nmicroprocessors, each having its own microarchitecture."
} |
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} | {
"context": "Each of these x86 microprocessors has its own microarchitecture.\nThe story is the same for the PowerPC ISA, with more than a dozen dierent\nmicroprocessors, each having its own microarchitecture.\nEach microarchitecture is an opportunity for computer designers to make dif-\nferent tradeos between the cost of the microprocessor, the performance that the\nmicroprocessor will provide, and the energy that is required to power the micro-\nprocessor."
} |
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} | {
"context": "The story is the same for the PowerPC ISA, with more than a dozen dierent\nmicroprocessors, each having its own microarchitecture.\nEach microarchitecture is an opportunity for computer designers to make dif-\nferent tradeos between the cost of the microprocessor, the performance that the\nmicroprocessor will provide, and the energy that is required to power the micro-\nprocessor. Computer design is always an exercise in tradeos, as the designer\nopts for higher (or lower) performance, more (or less) energy required, at greater\n(or lesser) cost."
} |
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"context": "Each microarchitecture is an opportunity for computer designers to make dif-\nferent tradeos between the cost of the microprocessor, the performance that the\nmicroprocessor will provide, and the energy that is required to power the micro-\nprocessor. Computer design is always an exercise in tradeos, as the designer\nopts for higher (or lower) performance, more (or less) energy required, at greater\n(or lesser) cost.\n1."
} |
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} | {
"context": "Computer design is always an exercise in tradeos, as the designer\nopts for higher (or lower) performance, more (or less) energy required, at greater\n(or lesser) cost.\n1.7.6 The Logic Circuit\nThe next step is to implement each element of the microarchitecture out of simple\nlogic circuits. Here also there are choices, as the logic designer decides how to\nbest make the tradeos between cost and performance."
} |
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} | {
"context": "6 The Logic Circuit\nThe next step is to implement each element of the microarchitecture out of simple\nlogic circuits. Here also there are choices, as the logic designer decides how to\nbest make the tradeos between cost and performance. So, for example, even for\nan operation as simple as addition, there are several choices of logic circuits to\nperform the operation at diering speeds and corresponding costs."
} |
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} | {
"context": "Here also there are choices, as the logic designer decides how to\nbest make the tradeos between cost and performance. So, for example, even for\nan operation as simple as addition, there are several choices of logic circuits to\nperform the operation at diering speeds and corresponding costs.\n1.7.7 The Devices\nFinally, each basic logic circuit is implemented in accordance with the require-\nments of the particular device technology used."
} |
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} | {
"context": "7.7 The Devices\nFinally, each basic logic circuit is implemented in accordance with the require-\nments of the particular device technology used. So, CMOS circuits are dierent\nfrom NMOS circuits, which are dierent, in turn, from gallium arsenide\ncircuits.\nThe Bottom Line\nIn summary, from the natural language description of a prob-\nlem to the electrons that actually solve the problem by moving from one voltage\npotential to another, many transformations need to be performed."
} |
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} | {
"context": "So, CMOS circuits are dierent\nfrom NMOS circuits, which are dierent, in turn, from gallium arsenide\ncircuits.\nThe Bottom Line\nIn summary, from the natural language description of a prob-\nlem to the electrons that actually solve the problem by moving from one voltage\npotential to another, many transformations need to be performed. If we could\nspeak electron, or if the electrons could understand English, perhaps we could just\nwalk up to the computer and get the electrons to do our bidding."
} |
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} | {
"context": "The Bottom Line\nIn summary, from the natural language description of a prob-\nlem to the electrons that actually solve the problem by moving from one voltage\npotential to another, many transformations need to be performed. If we could\nspeak electron, or if the electrons could understand English, perhaps we could just\nwalk up to the computer and get the electrons to do our bidding. Since we cant\nspeak electron and they cant speak English, the best we can do is this systematic\nsequence of transformations."
} |
175674 | [
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} | {
"context": "If we could\nspeak electron, or if the electrons could understand English, perhaps we could just\nwalk up to the computer and get the electrons to do our bidding. Since we cant\nspeak electron and they cant speak English, the best we can do is this systematic\nsequence of transformations. At each level of transformation, there are choices as\nto how to proceed. Our handling of those choices determines the resulting cost\nand performance of our computer."
} |
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"context": "At each level of transformation, there are choices as\nto how to proceed. Our handling of those choices determines the resulting cost\nand performance of our computer.\nIn this book, we describe each of these transformations. We show how tran-\nsistors combine to form logic circuits, how logic circuits combine to form the\nmicroarchitecture, and how the microarchitecture implements a particular ISA."
} |
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} | {
"context": "In this book, we describe each of these transformations. We show how tran-\nsistors combine to form logic circuits, how logic circuits combine to form the\nmicroarchitecture, and how the microarchitecture implements a particular ISA.\nIn our case, the ISA is the LC-3. We complete the process by going from the\nEnglish-language description of a problem to a C or C++ program that solves the\nproblem, and we show how that C or C++ program is translated (i."
} |
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} | {
"context": "\nIn our case, the ISA is the LC-3. We complete the process by going from the\nEnglish-language description of a problem to a C or C++ program that solves the\nproblem, and we show how that C or C++ program is translated (i.e., compiled)\nto the ISA of the LC-3.\nWe hope you enjoy the ride."
} |
599645 | [
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"context": ", Data Types, and\nrations\n2.1 Bits and Data Types\n2.1.1 The Bit as the Unit of Information\nWe noted in Chapter 1 that the computer was organized as a system with several\nlevels of transformation. A problem stated in a natural language such as English\nis actually solved by the electrons moving around inside the components of the\ncomputer.\nInside the computer, millions of very tiny, very fast devices control the move-\nment of those electrons."
} |
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} | {
"context": "A problem stated in a natural language such as English\nis actually solved by the electrons moving around inside the components of the\ncomputer.\nInside the computer, millions of very tiny, very fast devices control the move-\nment of those electrons. These devices react to the presence or absence of voltages\nin electronic circuits. They could react to the actual values of the voltages, rather\nthan simply to the presence or absence of voltages."
} |
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} | {
"context": "These devices react to the presence or absence of voltages\nin electronic circuits. They could react to the actual values of the voltages, rather\nthan simply to the presence or absence of voltages. However, this would make\nthe control and detection circuits more complex than they need to be. It is much\neasier to detect simply whether or not a voltage exists at a point in a circuit than\nit is to measure exactly what that voltage is."
} |
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} | {
"context": "However, this would make\nthe control and detection circuits more complex than they need to be. It is much\neasier to detect simply whether or not a voltage exists at a point in a circuit than\nit is to measure exactly what that voltage is.\nTo understand this, consider any wall outlet in your home. You could measure\nthe exact voltage it is carrying, whether 120 volts or 115 volts, or 118."
} |
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} | {
"context": "To understand this, consider any wall outlet in your home. You could measure\nthe exact voltage it is carrying, whether 120 volts or 115 volts, or 118.6 volts,\nfor example. However, the detection circuitry to determine only whether there is\na voltage or whether there is no voltage is much simpler. Your nger casually\ninserted into the wall socket, for example, will suce.\nWe symbolically represent the presence of a voltage as 1 and the absence\nof a voltage as 0."
} |
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"indices": [
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"values": [
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} | {
"context": "Your nger casually\ninserted into the wall socket, for example, will suce.\nWe symbolically represent the presence of a voltage as 1 and the absence\nof a voltage as 0. We refer to each 0 and each 1 as a bit, which is a shortened\nform of binary digit. Recall the digits you have been using since you were a\nchild0, 1, 2, 3, , 9. There are ten of them, and they are referred to as decimal\ndigits."
} |
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} | {
"context": "Recall the digits you have been using since you were a\nchild0, 1, 2, 3, , 9. There are ten of them, and they are referred to as decimal\ndigits. In the case of binary digits, there are two of them, 0 and 1.\nTo be perfectly precise, it is not really the case that the computer dieren-\ntiates the absolute absence of a voltage (i.e., 0) from the absolute presence of\na voltage (i.e., 1)."
} |
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"indices": [
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"values": [
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} | {
"context": "e., 1). Actually, the electronic circuits in the computer dierentiate\nvoltages close to 0 from voltages far from 0. So, for example, if the computer\nexpects either a voltage of 1.2 volts or a voltage of 0 volts (1.2 volts signifying\n1 and 0 volts signifying 0), then a voltage of 1.0 volts will be taken as a 1 and\n0.2 volts will be taken as a 0."
} |
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} | {
"context": "honewire,onecandifferentiateonlytwothings.Oneofthemcanbeassigned\ne 0, the other can be assigned the value 1. But to get useful work done by\nputer, it is necessary to be able to differentiate a large number of distinct\nand to assign each of them a unique representation. We can accomplish\nombining many wires, that is, many bits. For example, if we use eight bits\n(corresponding to the voltage present on each of eight wires), we can represent one\nparticularvalueas01001110,andanothervalueas11100111."
} |
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} | {
"context": "We can accomplish\nombining many wires, that is, many bits. For example, if we use eight bits\n(corresponding to the voltage present on each of eight wires), we can represent one\nparticularvalueas01001110,andanothervalueas11100111.Infact,ifwearelimited\ntoeightbits,wecandifferentiateatmostonly256(i.e., 28) differentthings.Ingeneral,\nwith k bits, we can distinguish at most 2k distinct items."
} |
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} | {
"context": ", 28) differentthings.Ingeneral,\nwith k bits, we can distinguish at most 2k distinct items. Each pattern of these k bits\nis a code; that is, it corresponds to a particular item (or value).\n2.1.2 Data Types\nThere are many ways to represent the same value. For example, the number ve\ncan be written as a 5. This is the standard decimal notation that you are used to.\nThe value ve can also be represented by someone holding up one hand, with all\nngers and thumb extended."
} |
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] | {
"indices": [
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} | {
"context": "This is the standard decimal notation that you are used to.\nThe value ve can also be represented by someone holding up one hand, with all\nngers and thumb extended. The person is saying, The number I wish to com-\nmunicate can be determined by counting the number of ngers I am showing. A\nwritten version of that scheme would be the value 11111. This notation has a name\nalsounary. The Romans had yet another notation for vethe character V."
} |
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"indices": [
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} | {
"context": "This notation has a name\nalsounary. The Romans had yet another notation for vethe character V. We\nmomentarily that a fourth notation for ve is the binary representation\n01.\ns not enough simply to represent values; we must be able to operate on\nalues. We say a particular representation is a data type if there are oper-\nn the computer that can operate on information that is encoded in that\nntation."
} |
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} | {
"context": "s not enough simply to represent values; we must be able to operate on\nalues. We say a particular representation is a data type if there are oper-\nn the computer that can operate on information that is encoded in that\nntation. Each instruction set architecture (ISA) has its own set of data types\nown set of instructions that can operate on those data types. In this book,\nmainly use two data types: 2s complement integers for representing posi-\ntive and negative integers that we wish to perform arithmetic on, and ASCII codes\nfor representing characters that we wish to input to a computer via the keyboard or\noutput from the computer via a monitor."
} |
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] | {
"indices": [
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"values": [
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]
} | {
"context": "Each instruction set architecture (ISA) has its own set of data types\nown set of instructions that can operate on those data types. In this book,\nmainly use two data types: 2s complement integers for representing posi-\ntive and negative integers that we wish to perform arithmetic on, and ASCII codes\nfor representing characters that we wish to input to a computer via the keyboard or\noutput from the computer via a monitor. Both data types will be explained shortly."
} |
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] | {
"indices": [
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"values": [
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} | {
"context": "In this book,\nmainly use two data types: 2s complement integers for representing posi-\ntive and negative integers that we wish to perform arithmetic on, and ASCII codes\nfor representing characters that we wish to input to a computer via the keyboard or\noutput from the computer via a monitor. Both data types will be explained shortly.\nThere are other representations of information that could be used, and indeed\nthat are present in most computers."
} |
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"indices": [
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"values": [
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} | {
"context": "Both data types will be explained shortly.\nThere are other representations of information that could be used, and indeed\nthat are present in most computers. Recall the scientic notation from high\nschool chemistry where you were admonished to represent the decimal num-\nber 621 as 6.21102. There are computers that represent numbers in that form,\nand they provide operations that can operate on numbers so represented."
} |
142783 | [
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0.45021338715555703,
0.45021338715555703,
0.7661119630911921,
0.45021338715555703,
0.7107036060130572,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703,
0.45021338715555703
]
} | {
"context": "21102. There are computers that represent numbers in that form,\nand they provide operations that can operate on numbers so represented. That\ndata type is usually called oating point. We will examine its representation in\nSection 2.7.1.\n2.2 Integer Data Types\n2.2.1 Unsigned Integers\nThe rst representation of information, or data type, that we shall look at is the\nunsigned integer. As its name suggests, an unsigned integer has no sign (plus or\nminus) associated with it."
} |
365983 | [
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] | {
"indices": [
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],
"values": [
0.5547986267625166,
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]
} | {
"context": "1 Unsigned Integers\nThe rst representation of information, or data type, that we shall look at is the\nunsigned integer. As its name suggests, an unsigned integer has no sign (plus or\nminus) associated with it. An unsigned integer just has a magnitude. Unsigned"
} |
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"values": [
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} | {
"context": "integers have many uses in a computer. If we wish to perform a task some spe-\ncic number of times, unsigned integers enable us to keep track of this number\neasily by simply counting how many times we have performed the task. Unsigned\nintegers also provide a means for identifying dierent memory locations in the\ncomputer in the same way that house numbers dierentiate 129 Main Street from\n131 Main Street."
} |
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} | {
"context": "If we wish to perform a task some spe-\ncic number of times, unsigned integers enable us to keep track of this number\neasily by simply counting how many times we have performed the task. Unsigned\nintegers also provide a means for identifying dierent memory locations in the\ncomputer in the same way that house numbers dierentiate 129 Main Street from\n131 Main Street. I dont recall ever seeing a house number with a minus sign in\nfront of it."
} |
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} | {
"context": "Unsigned\nintegers also provide a means for identifying dierent memory locations in the\ncomputer in the same way that house numbers dierentiate 129 Main Street from\n131 Main Street. I dont recall ever seeing a house number with a minus sign in\nfront of it.\nWe can represent unsigned integers as strings of binary digits. To do this, we\nuse a positional notation much like the decimal system that you have been using\nsince you were three years old."
} |
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] | {
"indices": [
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],
"values": [
0.45449725721703593,
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]
} | {
"context": "We can represent unsigned integers as strings of binary digits. To do this, we\nuse a positional notation much like the decimal system that you have been using\nsince you were three years old.\nYou are familiar with the decimal number 329, which also uses positional\nnotation. The 3 is worth much more than the 9, even though the absolute value of\n3 standing alone is only worth 1/3 the value of 9 standing alone."
} |
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} | {
"context": "You are familiar with the decimal number 329, which also uses positional\nnotation. The 3 is worth much more than the 9, even though the absolute value of\n3 standing alone is only worth 1/3 the value of 9 standing alone. This is because,\nas you know, the 3 stands for 300 (3102) due to its position in the decimal string\n329, while the 9 stands for 9 100.\nInstead of using decimal digits, we can represent unsigned integers using just\nthe binary digits 0 and 1."
} |
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} | {
"context": "This is because,\nas you know, the 3 stands for 300 (3102) due to its position in the decimal string\n329, while the 9 stands for 9 100.\nInstead of using decimal digits, we can represent unsigned integers using just\nthe binary digits 0 and 1. Here the base is 2, rather than 10. So, for example, if\nwe have ve bits (binary digits) available to represent our values, the number 5,\nwhich we mentioned earlier, is represented as 00101, corresponding to\n0 24 + 0 23 + 1 22 + 0 21 + 1 20\nWith k bits, we can represent in this positional notation exactly 2k integers, rang-\ning from 0 to 2k 1."
} |
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"values": [
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} | {
"context": "Here the base is 2, rather than 10. So, for example, if\nwe have ve bits (binary digits) available to represent our values, the number 5,\nwhich we mentioned earlier, is represented as 00101, corresponding to\n0 24 + 0 23 + 1 22 + 0 21 + 1 20\nWith k bits, we can represent in this positional notation exactly 2k integers, rang-\ning from 0 to 2k 1. Figure 2.1 shows the ve-bit representations for the integers\nfrom 0 to 31."
} |
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]
} | {
"context": "Figure 2.1 shows the ve-bit representations for the integers\nfrom 0 to 31.\n2.2.2 Signed Integers\nTo do useful arithmetic, however, it is often (although not always) necessary to\nbe able to deal with negative quantities as well as positive. We could take our 2k\ndistinct patterns of k bits and separate them in half, half for positive integers and\nhalf for negative integers. In this way, with ve-bit codes, instead of representing\nintegers from 0 to +31, we could choose to represent positive integers from +1\nto +15 and negative integers from 1 to 15."
} |
928923 | [
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"indices": [
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"values": [
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} | {
"context": "We could take our 2k\ndistinct patterns of k bits and separate them in half, half for positive integers and\nhalf for negative integers. In this way, with ve-bit codes, instead of representing\nintegers from 0 to +31, we could choose to represent positive integers from +1\nto +15 and negative integers from 1 to 15. There are 30 such integers. Since\n25 is 32, we still have two 5-bit codes unassigned."
} |
832964 | [
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] | {
"indices": [
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],
"values": [
0.45449725721703593,
0.6249544369532175,
0.45449725721703593,
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0.7142460396515701,
0.7142460396515701,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
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0.6249544369532175,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593,
0.45449725721703593
]
} | {
"context": "There are 30 such integers. Since\n25 is 32, we still have two 5-bit codes unassigned. One of them, 00000, we would\npresumably assign to the value 0, giving us the full range of integer values from\n15 to +15. That leaves one 5-bit code left over, and there are dierent ways to\nassign this code, as we will see momentarily.\nWe are still left with the problem of determining what codes to assign to what\nvalues."
} |
537559 | [
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} | {
"context": "That leaves one 5-bit code left over, and there are dierent ways to\nassign this code, as we will see momentarily.\nWe are still left with the problem of determining what codes to assign to what\nvalues. That is, we have 32 codes, but which value should go with which code?\nPositive integers are represented in the straightforward positional scheme.\nSince there are k bits, and we wish to use exactly half of the 2k codes to represent\nthe integers from 0 to 2k1 1, all positive integers will have a leading 0 in their\nrepresentation."
} |
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} | {
"context": "That is, we have 32 codes, but which value should go with which code?\nPositive integers are represented in the straightforward positional scheme.\nSince there are k bits, and we wish to use exactly half of the 2k codes to represent\nthe integers from 0 to 2k1 1, all positive integers will have a leading 0 in their\nrepresentation. In our example of Figure 2.1 (with k = 5), the largest positive\ninteger +15 is represented as 01111."
} |
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] | {
"indices": [
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],
"values": [
0.5890053303866941,
0.7413509811743124,
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0.5890053303866941,
0.5890053303866941,
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]
} | {
"context": " In our example of Figure 2.1 (with k = 5), the largest positive\ninteger +15 is represented as 01111.\nNote that in all three signed data types shown in Figure 2"
} |
740624 | [
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] | {
"indices": [
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"values": [
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]
} | {
"context": "Since there are k bits, and we wish to use exactly half of the 2k codes to represent\nthe integers from 0 to 2k1 1, all positive integers will have a leading 0 in their\nrepresentation. In our example of Figure 2.1 (with k = 5), the largest positive\ninteger +15 is represented as 01111.\nNote that in all three signed data types shown in Figure 2.1 , the represen-\ntation for 0 and all the positive integers start with a leading 0."
} |
288314 | [
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] | {
"indices": [
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],
"values": [
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]
} | {
"context": "\nNote that in all three signed data types shown in Figure 2.1 , the represen-\ntation for 0 and all the positive integers start with a leading 0. What about the\nrepresentations for the negative integers (in our ve-bit example, 1 to 15)?"
} |
227191 | [
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} | {
"context": "11111\n31\n15\n0\n1\nFigure 2.1\nFour representations of integers.\nThe rst thought that usually comes to mind is: If a leading 0 signies a positive\ninteger, how about letting a leading 1 signify a negative integer? The result is\nthe signed-magnitude data type shown in Figure 2.1. A second thought (which\nwas actually used on some early computers such as the Control Data Corpora-\ntion 6600) was the following: Let a negative number be represented by taking the\nrepresentation of the positive number having the same magnitude, and ipping\nall the bits."
} |
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} | {
"context": "1. A second thought (which\nwas actually used on some early computers such as the Control Data Corpora-\ntion 6600) was the following: Let a negative number be represented by taking the\nrepresentation of the positive number having the same magnitude, and ipping\nall the bits. That is, if the original representation had a 0, replace it with a 1; if\nit originally had a 1, replace it with a 0."
} |
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} | {
"context": "A second thought (which\nwas actually used on some early computers such as the Control Data Corpora-\ntion 6600) was the following: Let a negative number be represented by taking the\nrepresentation of the positive number having the same magnitude, and ipping\nall the bits. That is, if the original representation had a 0, replace it with a 1; if\nit originally had a 1, replace it with a 0. For example, since +5 is represented as\n00101, we designate 5 as 11010."
} |
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} | {
"context": " That is, if the original representation had a 0, replace it with a 1; if\nit originally had a 1, replace it with a 0. For example, since +5 is represented as\n00101, we designate 5 as 11010. This data type is referred to in the computer\nengineering community as 1s complement and is also shown in Figure 2.1."
} |
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} | {
"context": "At this point, you might think that a computer designer could assign any bit\npattern to represent any integer he or she wants. And you would be right! Unfor-\ntunately, that could complicate matters when we try to build an electronic circuit\nto add two integers. In fact, the signed-magnitude and 1s complement data types\nboth require unnecessarily cumbersome hardware to do addition. Because com-\nputer designers knew what it would take to design a circuit to add two integers,\nthey chose representations that simplied the circuit."
} |