# For the gate in the Given Figure the Output Will Be?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

For the gate, in the given figure, the output will be?

Choose the right answer to the question. The output of the gate in the given figure will be from the following options and a detailed explanation.

1. 0
2. 1
3. A
4. Ā

Answer – D.  Ā

## The answer to the question, For the gate in the given figure, the output will be Ā.

Solution

The detailed solution to the question For the gate in the given figure will provide the output

• The given logic gate is X-NOR. X-NOR is a two-input logic gate.
• The expression for the X-NOR gate (which can be verified using the k-map and truth table) is  AB+AB.
• The truth table for the X-NOR gate is
 AB A̅ ̅ ̅B̅ A̅ ̅ ̅B̅+AB 00 11 1 01 10 0 10 01 0 11 00 1
• In the question B=0, So, A̅ ̅ ̅B̅+AB=A̅ 1+A.0=A̅

Therefore, the expression of the logic circuit shown above is A. Hence, Option (D) is correct.

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