Consider two binary numbers P = 10110001 and Q = 01001110. If X = P or Q and Y = P and Q. then what will be the values of X and Y respectively?

Question

Question

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UGC NET Official Paper 1: Held On 13 June 2023 Shift 2

Answer 1

The correct answer is 11111111, 00000000

Explanation:

To find the values of X and Y, we need to perform the bitwise OR and AND operations on the binary numbers P and Q.

Given:
P = 10110001
Q = 01001110

Bitwise OR (X = P OR Q):

The OR operation results in a 1 if either of the corresponding bits is 1.

\(\begin{aligned} P & = 10110001 \\ Q & = 01001110 \\ X & = 11111111 \\ \end{aligned}\)

Bitwise AND (Y = P AND Q):

The AND operation results in a 1 only if both corresponding bits are 1.

\(\begin{aligned} P & = 10110001 \\ Q & = 01001110 \\ Y & = 00000000 \\ \end{aligned}\)

So, the values of X and Y respectively are:

4) 11111111, 00000000