Computer Number System Questions with Solutions
Computers store and process all data in binary, using only the digits 0 and 1. This topic covers the four number systems used in computing: binary (base 2), octal (base 8), decimal (base 10) and hexadecimal (base 16, using digits 0 to 9 and letters A to F). It covers converting numbers between these systems, binary arithmetic (addition, subtraction, multiplication and division), and complements (1's and 2's complement) used to represent negative numbers. The fastest conversions go through binary. Each octal digit equals a group of three binary digits, and each hexadecimal digit equals a group of four. To convert decimal to binary, divide by 2 repeatedly and read the remainders from bottom to top. Character encoding schemes such as ASCII and Unicode are also covered at a basic level. Practise the computer number system questions below, each with a step-by-step conversion.
- Q1.
The multiplication of the two binary numbers and in binary notation is:
A. B. C. D.easyAsked in NIMCET 2026View solution › - Q2.
An embedded computer uses 8-bit 2's complement representation for signed integers. What is the minimum negative integer value that can be represented in this computer?
A. 0, i.e. no negative integers can be representedB. −8C. −128D. −256easyAsked in NIMCET 2026View solution › - Q3.
Which one of the following is the decimal equivalent of the 8-bit two's complement number ?
A. −45B. −44C. −211D. +211easyAsked in NIMCET 2026View solution › - Q4.
What is the binary equivalent of the decimal number 13?
A. 1101B. 1011C. 1110D. 1001easyAsked in MAH MCA CET 2025View solution › - Q5.
Convert the decimal number into binary.
A. B. C. D.easyAsked in MAH MCA CET 2025View solution › - Q6.
What is the hexadecimal representation of the binary number ?
A. B. C. D.easyAsked in MAH MCA CET 2025View solution › - Q7.
How would you represent 10111 in the decimal number system?
A. 24B. 23C. 25D. 22easyAsked in MAH MCA CET 2024View solution › - Q8.
The 1's complement of 100 is ____.
A. 100B. 111C. 011D. 010easyAsked in MAH MCA CET 2024View solution › - Q9.
The minimum and maximum values represented in signed 16-bit 2's complement representation are
A. -32768 and 32767B. 0 and 32767C. 0 and 65535D. -16384 and 16383easyAsked in NIMCET 2023View solution › - Q10.
The binary equivalent of the decimal number is
A. B. C. D.easyAsked in NIMCET 2023View solution › - Q11.
A 10-bit computer uses 10-bit integers in 2's complement representation. The representation of -35 is
A. 0000100011B. 1100100011C. 1111011101D. 1111011111easyAsked in NIMCET 2023View solution › - Q12.
A 10-bit computer uses a 10-bit floating point unit (IEEE floating-point arithmetic with 1 sign bit, 5 exponent bits and 4 fraction bits). The representation of +∞ (plus infinity) is
A. 0 11111 1111B. 1 11111 0000C. 0 00000 1111D. 0 11111 0000easyAsked in NIMCET 2023View solution › - Q13.
What is a potential problem of the 1's complement representation of numbers?
A. Binary subtraction is not possibleB. Binary addition is not possibleC. Multiplication of two numbers cannot be carried outD. There are two different representations of zeroeasyAsked in NIMCET 2023View solution › - Q14.
In present-day computing, which code is used and accepted worldwide?
A. ASCIIB. Hollerith CodeC. EBCDICD. ISCIIeasyAsked in TCS ExamView solution › - Q15.
Computers process binary numbers, which are composed of
A. 1s and 2sB. 1s and 10sC. 2s and 3sD. 0s and 1seasyAsked in TCS ExamView solution › - Q16.
Which of the following is a binary number?
A. 12B. 34C. 45D. 11easyAsked in TCS ExamView solution › - Q17.
Which of the following is an example of binary number?
A. 0101B. 0123C. 0202D. 0003easyAsked in TCS ExamView solution › - Q18.
Which of the following is a binary number?
A. 4343B. 109C. 1101101D. 1212easyAsked in TCS ExamView solution › - Q19.
Which among the following is not a binary number?
A. 11B. 01C. 22D. 10easyAsked in TCS ExamView solution › - Q20.
ASCII stands for
A. American Standard Code for Information InterchangeB. American Stable Code for International InterchangeC. American Standard Case for Institutional InterchangeD. American Standard Code for Interchange InformationeasyAsked in TCS ExamView solution ›