Question

Are the following two Boolean expressions/functions f and g equivalent? Show how you arrived at the...

Are the following two Boolean expressions/functions f and g equivalent? Show how you arrived at the answer:

F = ABC + A’BC’

G = (AC’ + A’C)B

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Answer #1

Ans)

No functions f and g are NOT equivalent as shown below

Just see that both expressions cannot be minimized further ,by just observation they are not equal

or you can prove by truth table as below

A B C F=ABC+A'BC' G=(AC'+A'C)B
0 0 0 0 0
0 0 1 0 0
0 1 0 1 0
0 1 1 0 1
1 0 0 0 0
1 0 1 0 0
1 1 0 0 1
1 1 1 1 0

By comparing the columns F and G we can see both are not equal

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