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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.
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.
The algorithmic state machine (ASM) is a method for designing finite-state machines (FSMs) originally developed by Thomas E. Osborne at the University of California, Berkeley (UCB) since 1960, [1] introduced to and implemented at Hewlett-Packard in 1968, formalized and expanded since 1967 and written about by Christopher R. Clare since 1970.
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).
Now if the machine is in the state S 1 and receives an input of 0 (first column), the machine will transition to the state S 2. In the state diagram, the former is denoted by the arrow looping from S 1 to S 1 labeled with a 1, and the latter is denoted by the arrow from S 1 to S 2 labeled with a 0.
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.
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).
To achieve better performance in the same area or the same performance in a smaller area, multiplier designs may use higher order compressors such as 7:3 compressors; [8] [7] implement the compressors in faster logic (such transmission gate logic, pass transistor logic, domino logic); [13] connect the compressors in a different pattern; or some ...
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