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What is simplified Boolean equation of a logic circuit, If the circuit output is 1 for following inputs? ABCD = 0010 ABCD = 0110 ABCD = 1000 ABCD = 1100 And output is zero for all other inputs

What is simplified Boolean equation of a logic circuit, If the circuit output is 1 for following inputs? ABCD = 0010 ABCD = 0110 ABCD = 1000 ABCD = 1100 And output is zero for all other inputs Correct Answer A̅CD̅ + AC̅ D̅

ABCD = 0010 = A̅ B̅ C D̅

ABCD = 0110 = A̅ B C D̅

ABCD = 1000 = A B̅ C̅ D̅

ABCD = 1100 = A B C̅ D̅

The Boolean equation = A̅ B̅ C D̅ + A̅ B C D̅ + A B̅ C̅ D̅ + A B C̅ D̅

= A̅ C D̅ (B̅ + B) + A C̅ D̅ (B̅ + B)

= A̅ C D̅ + A C̅ D̅

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