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NIMCET 2020 — Computer PYQ

NIMCET | Computer | 2020

The logic XOR operation of $(4 A C 0)_{16}$ and $(B 53 F)_{16}$ results _________

Choose the correct answer:

B.

0000

C.
FFFF
(Correct Answer)

D.
ABCD

Explanation

Here we have to perform an XOR operation on two Hexadecimal numbers
The boolean expression for XOR is A B = +
The truth table for XOR is:

Means A and B are the expressions given to us in Hex code. So, we need to find the
binary equivalent of theHexadecimal numbers. This is because these codes will be executed in 1 and 0 in the CPU.
The following table is to be memorized in order to convert Hexadecimal to Binary:

- Therefore, $(4 A C 0)_{16} = 0100101011000000$
- And $(B 53 F)_{16} = 1011010100111111$
- Now follow the Truth Table to perform the operation on every bit in XOR gate:
- $(4 A C 0)_{16} \oplus (B 53 F)_{16} = 0100101011000000 \oplus 1011010100111111$
- $0100101011000000 \oplus 1011010100111111 = 1111111111111111$
- So the result obtained is $(1111111111111111)_{2}$ which is the Binary Equivalent of $(F F F F)_{16}$ (using the table given above).
- Hence the correct answer is FFFF.