GATE 2017 CS (CS2) – Question 11

Digital Logic · Number Representation and Arithmetic · 1 mark · Multiple choice

The hexadecimal representation of a 16-bit unsigned integer X is BCA9. Find its octal representation.

571244
736251
571247
136251

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Correct answer: (D) 136251

Explanation

Convert hex digits to binary: BCA9 = 1011 1100 1010 1001. Group from the right into triples, adding leading zeros: 001 011 110 010 101 001. These are octal digits 1,3,6,2,5,1. Thus 136251, D.

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