MCQ on Number Systems – Computer GK
Useful and informative MCQ on Number Systems – Computer GK that includes topics like Non-Positional Number Systems and Positional Number Systems – Binary Number, Octal Number, Hexadecimal Number, etc. and Conversion of One Number System to Another Number System.
These MCQ on Number Systems – Computer GK are very helpful for competitive exams such as CPCT, GATE, IES/ESE, IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RBI, SEBI, LIC, NICL, BCA, B.Sc. IT, DCA, SSC, RRB, NIELIT CCC, CTET, UDC NET, CUET, MCA, PGDCA, MCS, TET, State Police, BPO, etc.
These MCQ on Number Systems – Computer GK have correct answers and brief explanations of each question for better understanding.
Q11. What is the decimal equivalent of the hexadecimal number 3A?
a) 58
b) 59
c) 60
d) 61
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Correct Answer: a) 58
Explanation: The hexadecimal number 3A can be converted to decimal as follows: (3 × 16^1) + (10 × 16^0) = 48 + 10 = 58. Note that A in hexadecimal is equivalent to 10 in decimal.
Q12. What is the hexadecimal equivalent of the decimal number 175?
a) AF
b) BF
c) CF
d) DF
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Correct Answer: a) AF
Explanation: The decimal number 175 can be converted to hexadecimal as follows: 175 = (10 × 16^1) + (15 × 16^0) = AF. Note that A in hexadecimal is equivalent to 10 in decimal, and F in hexadecimal is equivalent to 15 in decimal.
Q13. Which of the following is the binary equivalent of the octal number 721?
a) 111010001
b) 111100001
c) 111110001
d) 111111001
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Correct Answer: a) 111010001
Explanation: The octal number 721 can be converted to binary by converting each octal digit to its binary equivalent: 7 (octal) = 111 (binary), 2 (octal) = 010 (binary), 1 (octal) = 001 (binary). So, the binary equivalent is 111010001.
Q14. Which of the following is the octal equivalent of the binary number 1111000?
a) 360
b) 370
c) 760
d) 770
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Correct Answer: c) 760
Explanation: The binary number 1111000 can be converted to octal by grouping the binary digits into groups of three, starting from the right: 111 100 0. Then, convert each group to its octal equivalent: 111 (binary) = 7 (octal), 100 (binary) = 4.
Q15. Which of the following is the binary equivalent of the hexadecimal number 2F?
a) 00101111
b) 00111111
c) 01001111
d) 01011111
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Correct Answer: a) 00101111
Explanation: The hexadecimal number 2F can be converted to binary by converting each hexadecimal digit to its binary equivalent: 2 (hexadecimal) = 0010 (binary), F (hexadecimal) = 1111 (binary). So, the binary equivalent is 00101111.
Q16. Which of the following is the hexadecimal equivalent of the binary number 10110111?
a) B7
b) C7
c) D7
d) E7
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Correct Answer: a) B7
Explanation: The binary number 10110111 can be converted to hexadecimal by grouping the binary digits into groups of four, starting from the right: 1011 0111. Then, convert each group to its hexadecimal equivalent: 1011 (binary) = B (hexadecimal), 0111 (binary) = 7 (hexadecimal). So, the hexadecimal equivalent is B7.
Q17. What is the binary equivalent of the decimal fraction 0.625?
a) 0.101
b) 0.110
c) 0.111
d) 0.100
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Correct Answer: a) 0.101
Explanation: The decimal fraction 0.625 can be converted to binary by multiplying the fraction by 2 repeatedly and recording the integer part at each step: 0.625 × 2 = 1.25 (1), 0.25 × 2 = 0.5 (0), 0.5 × 2 = 1.0 (1). So, the binary equivalent is 0.101.
Q18. What is the decimal equivalent of the binary fraction 0.101?
a) 0.625
b) 0.75
c) 0.875
d) 0.5
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Correct Answer: a) 0.625
Explanation: The binary fraction 0.101 can be converted to decimal as follows: (1 × 2^(-1)) + (0 × 2^(-2)) + (1 × 2^(-3)) = 0.5 + 0 + 0.125 = 0.625.
Q19. What is the octal equivalent of the binary fraction 0.1101?
a) 0.65
b) 0.75
c) 0.55
d) 0.45
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Correct Answer: a) 0.65
Explanation: The binary fraction 0.1101 can be converted to octal by grouping the binary digits into groups of three, starting from the right: 0.110 100. Then, convert each group to its octal equivalent: 110 (binary) = 6 (octal), 100 (binary) = 4 (octal). So, the octal equivalent is 0.65.
Q20. What is the hexadecimal equivalent of the binary fraction 0.1011?
a) 0.B
b) 0.C
c) 0.D
d) 0.E
Show Answer
Correct Answer: a) 0.B
Explanation: The binary fraction 0.1011 can be converted to hexadecimal by grouping the binary digits into groups of four, starting from the right: 0.1011. Then, convert the group to its hexadecimal equivalent: 1011 (binary) = B (hexadecimal). So, the hexadecimal equivalent is 0.B.
More MCQ on Computer GK for Competitive Exams
- Introduction to Computer
- Basic Computer Organization
- Number Systems
- Computer Codes
- Processor and Memory
- Secondary Storage Devices
- Input and Output Devices
- Computer Software
- Flowchart and Computer Languages
- System Implementation
- Operating Systems
- Application Software Packages
- Business Data Processing
- Communications and Networks
- Internet Concepts and IoT
- Multimedia and File Extensions
- Classification of Computers
- Cyber Safety and Cyber Crime
- Computer Viruses and Security
- Basic Computer Shortcut Keys
- Shortcut Keys for Windows
- Shortcut Keys for MS Excel
- Shortcut Keys for MS Word
- Computer Abbreviations Set 1
- Computer Abbreviations Set 2
- Computer Abbreviations Set 3
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