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The exclusive-OR, denoted by XOR, of two Boolean variables x and y is denoted by x y and

Chapter 11, Problem 16

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QUESTION:

The exclusive-OR, denoted by XOR, of two Boolean variables x and y is denoted by x y and defined by x y = xy + xy. (a) Draw a combinatorial circuit that has the output x y. (b) Show that x y = (x + y)xy. (c) Use (b) to draw a combinatorial circuit with fewer gates than that in (a).

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QUESTION:

The exclusive-OR, denoted by XOR, of two Boolean variables x and y is denoted by x y and defined by x y = xy + xy. (a) Draw a combinatorial circuit that has the output x y. (b) Show that x y = (x + y)xy. (c) Use (b) to draw a combinatorial circuit with fewer gates than that in (a).

ANSWER:

Step 1 of 4

The exclusive-, denoted by , of two Boolean variables   and   is denoted by   and defined by  .

Objective of the question is draw a combinatorial circuit that has the output  .

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