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The output \(Y\) of a 2-bit comparator is logic 1 whenever the 2-bit input \(A\) is greater than the 2-bit input \(B\). The number of combinations for which the output is logic 1 is

1. 4
2. 6
3. 8
4. 10

Correct answer: 6

Solution

A 2-bit number can take 4 values: 0, 1, 2, and 3. The number of pairs with \(A>B\) is \(3+2+1+0=6\). Hence the output is 1 for 6 combinations.

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