A multiplexer can be used in place of logic gates to implement a
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A multiplexer can be used in place of logic gates to implement a logic expression. The logic function implemented by the given multiplexer is:
A. A ⊕ B ⊕ C
B. A ⊕ B ⊙ C
C. A ⊙ B ⊕ C
D. A ⊙ B ⊙ C
Please scroll down to see the correct answer and solution guide.
Right Answer is: A
SOLUTION
The truth table for F is as shown:
\(F = \bar A\bar BC + \bar AB\bar C + A\bar B\bar C + A\bar B\bar C + ABC\)
\(= \bar A\left( {B\bar C + \bar BC} \right) + A\left( {BC + \bar B\bar C} \right)\)
\(= \bar A\left( {B \oplus C} \right) + A\left( {B \odot C} \right)\)
F = A ⊕ B ⊕ C
