Question:
A logic circuit provides the output y as per the following truth table:
A B Y 0 0 1 0 1 0 1 0 1 1 1 0
The expression for the output Y is:
A logic circuit provides the output y as per the following truth table:
The expression for the output Y is:
| A | B | Y |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The expression for the output Y is:
Updated On: Feb 20, 2025
- \(A.B+\overline A\)
- \(A.\overline B+\overline A\)
- \(\overline B\)
- \(B\)
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The Correct Option is C
Approach Solution - 1
From the truth table:
- When A = 0, B = 0, Y = 1.
- When A = 1, B = 0, Y = 1.
- When A = 1, B = 1, Y = 0.
From the table, Y is 1 when B = 0, irrespective of A. This indicates Y = $\overline{B}$. Thus, the Boolean expression for Y is $\overline{B}$.
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Approach Solution -2
Logic Behind the Truth Table
Step 1: Identify the Logic Behind the Truth Table
From the truth table, we get the simplified expression: Y = A + B.
Step 2: Match with Options
The given options align best with the simplified form B, confirming the answer.
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