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

This question was previously asked in
GATE CS 2017 Official Paper: Shift 2
View all GATE CS Papers >
  1. 571244
  2. 736251
  3. 571247
  4. 136251

Answer (Detailed Solution Below)

Option 4 : 136251
Free
GATE CS Full Mock Test
5.3 K Users
65 Questions 100 Marks 180 Mins

Detailed Solution

Download Solution PDF

STEPS:

1) First, convert the given hexadecimal number into binary equivalent.

2) Convert that binary number into an octal number.

F1 R.S Deepak 09.12.2019 D1

Binary equivalent of BCA9: 1011110010101001

Representation of this binary equivalent to octal number system is: 136251

Tips and Tricks:

For hexadecimal number, pair of 4 binary bits are taken from right to left and for octal number, pair of 3 binary bits is taken starting from least significant bits.

Latest GATE CS Updates

Last updated on Jan 8, 2025

-> GATE CS 2025 Admit Card has been released on 7th January 2025.

-> The exam will be conducted on 1st February 2025 in 2 shifts.

-> Candidates applying for the GATE CE must satisfy the GATE Eligibility Criteria.

-> The candidates should have BTech (Computer Science). Candidates preparing for the exam can refer to the GATE CS Important Questions to improve their preparation.

-> Candidates must check their performance with the help of the GATE CS mock tests and GATE CS previous year papers for the GATE 2025 Exam.

Get Free Access Now
Hot Links: all teen patti teen patti sweet teen patti real money app teen patti rich