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If A= 4b`001x and B= 4b`1011, then result of A+B will bea.110x   b.1111c.xxxxd.1100

Question

If A= 4b001x and B= 4b1011, then result of A+B will bea.110x   b.1111c.xxxxd.1100

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Solution

The given numbers are in binary format.

First, let's convert the binary numbers to decimal to make the calculation easier.

A = 4b001x B = 4b1011

In binary, 'x' can be either 0 or 1. So, let's consider 'x' as 0 and 1 for two different cases.

Case 1: If 'x' is 0, then A = 4b0010 = 2 (in decimal) B = 4b1011 = 11 (in decimal)

So, A + B = 2 + 11 = 13

Now, convert 13 back to binary, we get 1101.

Case 2: If 'x' is 1, then A = 4b0011 = 3 (in decimal) B = 4b1011 = 11 (in decimal)

So, A + B = 3 + 11 = 14

Now, convert 14 back to binary, we get 1110.

So, the result of A + B can be either 1101 or 1110 in binary, depending on the value of 'x'. Therefore, none of the options a.110x, b.1111, c.xxxx, d.1100 are correct.

This problem has been solved

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