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JEE Main 2016 · Logic Gates

Logic Gates question from JEE Main 2016

Q158JEE Main 2016Medium

Logic Gates

If $a, b, c, d$ are inputs to a gate and $x$ is its output, then, as per the following time graph, the gate is:

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Answer: (a)

Output $x$ goes high at the first rise of $d$ , when only $d$ is 1.
After that $x$ stays 1 even when $a, b, c, d$ are not all 1, and at every instant at least one input is high.
$x = 1$ whenever any input is 1 is the behaviour of an OR gate.
So the answer is (a) OR.

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