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For example, an 8-to-1 multiplexer can be made with two 4-to-1 and one 2-to-1 multiplexers. The two 4-to-1 multiplexer outputs are fed into the 2-to-1 with the selector pins on the 4-to-1's put in parallel giving a total number of selector inputs to 3, which is equivalent to an 8-to-1.
This yields S = B + A + 1, which is easy to do with a slightly modified adder. By preceding each A input bit on the adder with a 2-to-1 multiplexer where: Input 0 (I 0) is A; Input 1 (I 1) is A; that has control input D that is also connected to the initial carry, then the modified adder performs addition when D = 0, or; subtraction when D = 1.
One way to implement a barrel shifter is as a sequence of multiplexers where the output of one multiplexer is connected to the input of the next multiplexer in a way that depends on the shift distance. A barrel shifter is often used to shift and rotate n-bits in modern microprocessors, [1] typically within a single clock cycle.
2 dual 4-line to 1-line multiplexer three-state, 25 Ω series resistor (16) CD74FCT2253: 74x2257 4 quad 2-line to 1-line multiplexer three-state, 25 Ω series resistor (16) CD74FCT2257: 74x2273 8 octal D-type flip-flop with common clock and reset 25 Ω series resistor (20) CD74FCT2273: 74x2299 1 8-bit universal shift register
Here we show an adder with block sizes of 2-2-3-4-5, this is the special type of Variable-sized carry select adder, called as square root carry select adder. [2] This break-up is ideal when the full-adder delay is equal to the MUX delay, which is unlikely. The total delay is two full adder delays, and four mux delays.
A full adder can be viewed as a 3:2 lossy compressor: it sums three one-bit inputs and returns the result as a single two-bit number; that is, it maps 8 input values to 4 output values. (the term "compressor" instead of "counter" was introduced in [13])Thus, for example, a binary input of 101 results in an output of 1 + 0 + 1 = 10 (decimal ...
The skip-logic consists of a -input AND-gate and one multiplexer. T S K = T A N D ( m ) + T M U X {\displaystyle T_{SK}=T_{AND}(m)+T_{MUX}} As the propagate signals are computed in parallel and are early available, the critical path for the skip logic in a carry-skip adder consists only of the delay imposed by the multiplexer (conditional skip).
Every arbitrary BDD (even if it is not reduced or ordered) can be directly implemented in hardware by replacing each node with a 2 to 1 multiplexer; each multiplexer can be directly implemented by a 4-LUT in a FPGA. It is not so simple to convert from an arbitrary network of logic gates to a BDD [citation needed] (unlike the and-inverter graph).