Question 1 - GATE — Computer Science and Information Technology (CS) — Shift 2 — 2017 | OneNoughtOne | OneNoughtOne

GATE — Computer Science and Information Technology (CS) — Shift 2 — 2017

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Question 1

Multiple ChoiceDigital LogicNumber Representations and Computer Arithmetic

+1 points-0.33 points

The representation of the value of a 16-bit unsigned integer X in hexadecimal number system is BCA9. The representation of the value of X in octal number system is

Correct Answer:

571244

736251

571247

136251

The octal representation is 136251. Replace each hexadecimal digit by four bits: BCA9 becomes 1011 1100 1010 1001.

Group from the right into triples, adding leading zeros only: 001 011 110 010 101 001. These groups represent 1, 3, 6, 2, 5 and 1 in octal. Grouping from the left without padding would change the place values.

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