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1. OR
1. NAND
1. XOR
1. AND

How to approach such questions.

Kindly provide the detailed explanation.

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+1
Given that it's mod-6 counter..

Total 6 states are allowed.

Counter starts from 000... So when counter enter into 110, it should restart.

So, z=1,y=1,x=0.

Clear signal is active low, so o/p of gate should be 0

Input to the gate is z' and y' ==> 0 and 0 as inputs and produces output as 0.