The following circuit compares two 2-bit binary numbers, X and Y represented…

2020

The following circuit compares two 2-bit binary numbers, X and Y represented by X1X0 and Y1Y0 respectively. (X0 and Y0 represent Least Significant Bits)



Under what condition Z will be 1 ? ISRO 2020

  1. A.

    X > Y

  2. B.

    X < Y

  3. C.

    X = Y

  4. D.

    X! = Y

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Correct answer: A

The circuit is a 2-bit magnitude comparator that compares two binary numbers X (X1X0) and Y (Y1Y0).

The output Z is 1 when X > Y.

This condition is met if the Most Significant Bit (MSB) of X is 1 and Y is 0, or if the MSBs are equal and the Least Significant Bit (LSB) of X is 1 while Y is 0.

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