Figure 1a shows a sum-of-products circuit that implements a 2-to-1 multiplexer
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Figure 1a shows a sum-of-products circuit that implements a 2-to-1 multiplexer

This is an exercise in designing combinational circuits that can perform binary-to-decimal number conversion and binary-coded-decimal (BCD) addition, using Proteus Design Suite.

Part I

Figure 1a shows a sum-of-products circuit that implements a 2-to-1 multiplexer with a select input s. If s = 0 the multiplexer’s output m is equal to the input x, and if s = 1 the output is equal to y. Figure 1b gives a truth table for this multiplexer, and part c shows its circuit symbol.


You are to use four instances of the circuit shown above to create the circuit given in Figure 2a. This circuit has two four-bit inputs, X and Y, and produces the four-bit output M. If s = 0 then M = X, while if s = 1 then M = Y. We refer to this circuit as a four-bit wide 2-to-1 multiplexer. It has the circuit symbol shown in Figure 2b, in which X, Y, and M are depicted as four-bit wires.


Hint
ComputerBCD: BCD is a Binary-coded decimal. It is a system of writing numerals which assigns the four-digit binary code to each digit 0 through 9 in a decimal (base 10) number. Also, this binary-coded decimal is the way to convert the decimal numbers in to their binary equivalents....

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