Shift register
A shift register is a type of digital circuit using a cascade of flip-flops where the output of one flip-flop is connected to the input of the next. They share a single clock signal, which causes the data stored in the system to shift from one location to the next. By connecting the last flip-flop back to the first, the data can cycle within the shifters for extended periods, and in this form they were used as a form of computer memory. In this role they are very similar to the earlier delay-line memory  systems and were widely used in the late 1960s and early 1970s to replace that form of memory. In most cases, several parallel shift registers would be used to build a larger memory pool known as a "bit array". Data was stored into the array and read back out in parallel, often as a computer word, while each bit was stored serially in the shift registers. There is an inherent trade-off in the design of bit arrays; putting more flip-flops in a row allows a single shifter to store more bits, but requires more clock cycles to push  the data through all of the shifters before the data can be read back out again. Shift registers can have both parallel and serial inputs and outputs. These are often configured as "serial-in, parallel-out" (SIPO) or as "parallel-in, serial-out" (PISO). There are also types that have both serial and parallel input and types with serial and parallel output. There are also "bidirectional" shift registers, which allow shifting in both directions: L → R or R → L. The serial input and last output of a shift register can also be connected to create a "circular shift  register". A PIPO register (parallel in, parallel out) is very fast – an output is given within a single clock pulse. Serial-in serial-out (SISO). Destructive readout. These are the simplest kind of shift registers. The data string is presented at "data in" and is shifted right one stage each time "data advance" is brought high. At each advance, the bit on the far left (i.e. "data in") is shifted into the first flip-flop's output. The bit on the far right (i.e. "data out") is shifted out and lost. The data is stored after each flip-flop on  the "Q" output, so there are four storage "slots" available in this arrangement, hence it is a 4-bit register. To give an idea of the shifting pattern, imagine that the register holds 0000 (so all storage slots are empty). As "data in" presents 1,0,1,1,0,0,0,0 (in that order, with a pulse at "data advance" each time—this is called clocking or strobing) to the register, this is the result. The right hand column corresponds to the right-most flip-flop's output pin, and so on. So the serial output of the entire register is 00010110. It can be seen  that if data were to be continued to input, it would get exactly what was put in (10110000), but offset by four "data advance" cycles. This arrangement is the hardware equivalent of a queue. Also, at any time, the whole register can be set to zero by bringing the reset (R) pins high. This arrangement performs "destructive readout" each datum is lost once it has been shifted out of the right-most bit. Serial-in parallel-out (SIPO). This configuration allows conversion from serial to parallel format. Data input is serial, as described in the SISO section above. Once the  data has been clocked in, it may be either read off at each output simultaneously, or it can be shifted out. In this configuration, each flip-flop is edge triggered. All flip-flops operate at the given clock frequency. Each input bit makes its way down to the Nth output after N clock cycles, leading to parallel output. In cases where the parallel outputs should not change during the serial loading process, it is desirable to use a latched or buffered output. In a latched shift register (such as the 74595) the serial data is first loaded into an internal  buffer register, then upon receipt of a load signal the state of the buffer register is copied into a set of output registers. In general, the practical application of the serial-in/parallel-out shift register is to convert data from serial format on a single wire to parallel format on multiple wires. Parallel-in serial-out (PISO). This configuration has the data input on lines D1 through D4 in parallel format, D1 being the most significant bit. To write the data to the register, the Write/Shift control line must be held LOW. To shift the data, the W /S control line is brought HIGH and the registers are clocked. The arrangement now acts as a PISO shift register, with D1 as the Data Input. However, as long as the number of clock cycles is not more than the length of the data-string, the Data Output, Q, will be the parallel data read off in order. The animation below shows the write/shift sequence, including the internal state of the shift register. Uses. One of the most common uses of a shift register is to convert between serial and parallel interfaces. This is useful as many circuits work  on groups of bits in parallel, but serial interfaces are simpler to construct. Shift registers can be used as simple delay circuits. Several bidirectional shift registers could also be connected in parallel for a hardware implementation of a stack. SIPO registers are commonly attached to the output of microprocessors when more general-purpose input/output pins are required than are available. This allows several binary devices to be controlled using only two or three pins, but more slowly than by parallel output. The devices in question are attached to the parallel outputs of the shift register, and the desired state  for all those devices can be sent out of the microprocessor using a single serial connection. Similarly, PISO configurations are commonly used to add more binary inputs to a microprocessor than are available – each binary input (such as a button or more complicated circuitry) is attached to a parallel input of the shift register, then the data is sent back via serial to the microprocessor using several fewer lines than originally required. Shift registers can also be used as pulse extenders. Compared to monostable multivibrators, the timing has no dependency on component values, however, it requires external clock, and the  timing accuracy is limited by a granularity of this clock. Example: Ronja Twister, where five 74164 shift registers create the core of the timing logic this way (schematic). In early computers, shift registers were used to handle data processing: two numbers to be added were stored in two shift registers and clocked out into an arithmetic and logic unit (ALU) with the result being fed back to the input of one of the shift registers (the accumulator), which was one bit longer, since binary addition can only result in an answer that has the same size or is one bit  longer. Many computer languages include instructions to "shift right" and "shift left" the data in a register, effectively dividing by two or multiplying by two for each place shifted. Very large serial-in serial-out shift registers (thousands of bits in size) were used in a similar manner to the earlier delay-line memory in some devices built in the early 1970s. Such memories were sometimes called "circulating memory". For example, the Datapoint 3300 terminal stored its display of 25 rows of 72 columns of 6-bit upper-case characters using 54 (arranged in 6 tracks of 9 packs) 200 -bit shift registers, providing storage for 1800 characters. The shift register design meant that scrolling the terminal display could be accomplished by simply pausing the display output to skip one line of characters. History. One of the first known examples of a shift register was in the Mark 2 Colossus, a code-breaking machine built in 1944. It was a six-stage device built of vacuum tubes and thyratrons. A shift register was also used in the IAS machine, built by John von Neumann and others at the Institute for Advanced Study in the late 1940s. Shift register A shift