Question:
Find Y & Z in the following logic circuit:
Find Y & Z in the following logic circuit:
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Always simplify logic circuits step-by-step from left to right using basic gate rules.
Updated On: Jun 19, 2026
- \(Y=1, Z=1\)
- \(Y=0, Z=1\)
- \(Y=1, Z=0\)
- \(Y=0, Z=0\)
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The Correct Option is A
Solution and Explanation
Step 1: Identify input logic values.
The circuit inputs are fixed as shown (0 and 1 combinations feeding gates).
Step 2: Evaluate left gates.
AND gate gives: \[ 0 \cdot 1 = 0 \] OR gate gives: \[ 0 + 1 = 1 \]
Step 3: Intermediate output.
The middle OR gate combines outputs and produces: \[ 1 \]
Step 4: Final outputs.
Upper OR gate gives \(Z = 1\). Lower AND gate gives \(Y = 1\).
Step 5: Consistency check.
All intermediate logic paths confirm outputs.
Step 6: Final conclusion.
\[ \boxed{Y=1,\; Z=1} \]
The circuit inputs are fixed as shown (0 and 1 combinations feeding gates).
Step 2: Evaluate left gates.
AND gate gives: \[ 0 \cdot 1 = 0 \] OR gate gives: \[ 0 + 1 = 1 \]
Step 3: Intermediate output.
The middle OR gate combines outputs and produces: \[ 1 \]
Step 4: Final outputs.
Upper OR gate gives \(Z = 1\). Lower AND gate gives \(Y = 1\).
Step 5: Consistency check.
All intermediate logic paths confirm outputs.
Step 6: Final conclusion.
\[ \boxed{Y=1,\; Z=1} \]
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