First slide

Logic gates

Question

A combination of logic gates has the truth table shown below:
Which combination has this table?

Moderate

A
B
C
D

Solution

$(1) Z = P . Q = P + Q (2) Z = (P + Q) + Q = (P + Q) + Q = P + Q + Q = P + Q (3) Z = (P . Q) = (P . Q) + Q = P . Q + Q = Q (4) Z = P . Q From given truth table, Z = P Q + P Q + PQ = Q (P + P) + P Q = QP + P Q = PQ$
So, the truth table and combination of gates in option (2)performs OR operation.

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