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.
Q21. Which of the following is the decimal equivalent of the octal fraction 0.46?
a) 0.578125
b) 0.59375
c) 0.609375
d) 0.625
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Correct Answer: b) 0.59375
Explanation: The octal fraction 0.46 can be converted to decimal as follows: (4 × 8^(-1)) + (6 × 8^(-2)) = 0.5 + 0.09375 = 0.59375.
Q22. Which of the following is the octal equivalent of the decimal fraction 0.375?
a) 0.26
b) 0.27
c) 0.28
d) 0.29
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Correct Answer: c) 0.28
Explanation: The decimal fraction 0.375 can be converted to octal by multiplying the fraction by 8 repeatedly and recording the integer part at each step: 0.375 × 8 = 3 (3), 0 × 8 = 0 (0). So, the octal equivalent is 0.28.
Q23. Which of the following is the decimal equivalent of the hexadecimal fraction 0.A?
a) 0.625
b) 0.65625
c) 0.6875
d) 0.71875
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Correct Answer: b) 0.65625
Explanation: The hexadecimal fraction 0.A can be converted to decimal as follows: (10 × 16^(-1)) = 0.625. Note that A in hexadecimal is equivalent to 10 in decimal.
Q24. Which of the following is the hexadecimal equivalent of the decimal fraction 0.6875?
a) 0.A
b) 0.B
c) 0.C
d) 0.D
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Correct Answer: c) 0.C
Explanation: The decimal fraction 0.6875 can be converted to hexadecimal by multiplying the fraction by 16 repeatedly and recording the integer part at each step: 0.6875 × 16 = 11 (B), 0 × 16 = 0 (0). So, the hexadecimal equivalent is 0.B.
Q25. What is the binary equivalent of the octal number 753?
a) 111101011
b) 111110101
c) 111111010
d) 111111101
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Correct Answer: b) 111110101
Explanation: The octal number 753 can be converted to binary by converting each octal digit to its binary equivalent: 7 (octal) = 111 (binary), 5 (octal) = 101 (binary), 3 (octal) = 011 (binary). So, the binary equivalent is 111110101.
Q26. What is the octal equivalent of the binary number 1101010?
a) 152
b) 162
c) 172
d) 182
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Correct Answer: b) 162
Explanation: The binary number 1101010 can be converted to octal by grouping the binary digits into groups of three, starting from the right: 1 101 010. Then, convert each group to its octal equivalent: 1 (binary) = 1 (octal), 101 (binary) = 5 (octal), 010 (binary) = 2 (octal). So, the octal equivalent is 162.
Q27. What is the binary equivalent of the hexadecimal number 9A?
a) 10011010
b) 10011100
c) 10011110
d) 10011111
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Correct Answer: a) 10011010
Explanation: The hexadecimal number 9A can be converted to binary by converting each hexadecimal digit to its binary equivalent: 9 (hexadecimal) = 1001 (binary), A (hexadecimal) = 1010 (binary). So, the binary equivalent is 10011010.
Q28. What is the hexadecimal equivalent of the binary number 11110011?
a) F3
b) F4
c) F5
d) F6
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Correct Answer: a) F3
Explanation: The binary number 11110011 can be converted to hexadecimal by grouping the binary digits into groups of four, starting from the right: 1111 0011. Then, convert each group to its hexadecimal equivalent: 1111 (binary) = F (hexadecimal), 0011 (binary) = 3 (hexadecimal). So, the hexadecimal equivalent is F3.
Q29. What is the decimal equivalent of the octal fraction 0.52?
a) 0.40625
b) 0.421875
c) 0.4375
d) 0.453125
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Correct Answer: c) 0.4375
Explanation: The octal fraction 0.52 can be converted to decimal as follows: (5 × 8^(-1)) + (2 × 8^(-2)) = 0.625 + 0.03125 = 0.65625.
Q30. What is the octal equivalent of the decimal fraction 0.875?
a) 0.66
b) 0.67
c) 0.68
d) 0.69
Show Answer
Correct Answer: b) 0.67
Explanation: The decimal fraction 0.875 can be converted to octal by multiplying the fraction by 8 repeatedly and recording the integer part at each step: 0.875 × 8 = 7 (7), 0 × 8 = 0 (0). So, the octal equivalent is 0.67.
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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