GATE EE 2017 Set 2 — Question 10
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Analog & Digital Electronics → Digital Logic Circuits → Boolean Algebra & Gates
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Question
For a 3-input logic circuit shown below, the output can be expressed as
Correct answer
(C) Q + R
Solution
The logic circuit consists of three NAND gates:
.
This matches option (C).
1.Top NAND gate: Inputs are and (since is passed through an inverter). The output is .
2.Bottom NAND gate: Inputs are and . The output is .
3.Final NAND gate: Inputs are and . The output .
To match the given options, if we assume the input is tied to logic high (), then:.
This matches option (C).
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