Number systems: binary, decimal, hexadecimal, and conversions MCQs

1. The base of the binary number system is:
A. 2
B. 10
C. 8
D. 16

Answer: A. 2


2. The base of the decimal number system is:
A. 2
B. 8
C. 10
D. 16

Answer: C. 10


3. The base of the hexadecimal number system is:
A. 2
B. 8
C. 10
D. 16

Answer: D. 16


4. Which of the following is the correct hexadecimal representation for the decimal number 15?
A. F
B. E
C. 10
D. 9

Answer: A. F


5. The hexadecimal digits go from 0 to:
A. 8
B. 9
C. A
D. F

Answer: D. F


6. The binary number 1101 is equivalent to which decimal number?
A. 13
B. 14
C. 12
D. 11

Answer: A. 13


7. The decimal number 25 is equivalent to which binary number?
A. 11001
B. 10101
C. 11101
D. 11010

Answer: A. 11001


8. The hexadecimal number A3 is equivalent to which decimal number?
A. 163
B. 123
C. 133
D. 113

Answer: A. 163


9. Convert the binary number 101101 to decimal. What is the result?
A. 43
B. 45
C. 44
D. 47

Answer: B. 45


10. What is the binary equivalent of the decimal number 50?
A. 110010
B. 111010
C. 101010
D. 101100

Answer: A. 110010


11. What is the hexadecimal equivalent of the binary number 10110111?
A. A7
B. B7
C. C7
D. D7

Answer: A. A7


12. Convert the decimal number 255 to hexadecimal. What is the result?
A. FF
B. F0
C. 00
D. 10

Answer: A. FF


13. What is the binary equivalent of the hexadecimal number 3F?
A. 111111
B. 111110
C. 110111
D. 101111

Answer: A. 111111


14. Convert the hexadecimal number 7A to binary. What is the result?
A. 1111010
B. 1111011
C. 1111100
D. 1111101

Answer: A. 1111010


15. Which of the following binary numbers is equivalent to the hexadecimal number C2?
A. 11000010
B. 11000011
C. 11000001
D. 11000000

Answer: A. 11000010


16. Which of the following binary numbers is equivalent to the decimal number 18?
A. 10010
B. 10011
C. 10100
D. 10101

Answer: A. 10010


17. Convert the hexadecimal number 5D to decimal. What is the result?
A. 93
B. 96
C. 101
D. 104

Answer: A. 93


18. Convert the binary number 111000 to hexadecimal. What is the result?
A. E0
B. F0
C. C0
D. D0

Answer: A. E0


19. What is the binary equivalent of the hexadecimal number 9F?
A. 10011111
B. 11011111
C. 10111111
D. 11111111

Answer: A. 10011111


20. What is the decimal equivalent of the binary number 101010?
A. 42
B. 44
C. 45
D. 47

Answer: A. 42


21. What is the result of adding the binary numbers 1011 and 1101?
A. 10100
B. 10110
C. 11000
D. 11100

Answer: A. 10100


22. Subtract the binary number 10101 from 11011. What is the result?
A. 1000
B. 1100
C. 1110
D. 1010

Answer: A. 1000


23. What is the result of multiplying the binary numbers 101 and 11?
A. 1111
B. 1101
C. 1011
D. 1001

Answer: A. 1111


24. Divide the binary number 11010 by 10. What is the quotient?
A. 1101
B. 1110
C. 1011
D. 1010

Answer: A. 1101


25. The base-2 system is also called the:
A. Decimal system
B. Binary system
C. Octal system
D. Hexadecimal system

Answer: B. Binary system


26. The decimal number 100 in hexadecimal is:
A. 64
B. 99
C. 64
D. 64

Answer: B. 64


27. Convert the binary number 11100001101 to hexadecimal. What is the result?
A. E1D
B. E1C
C. E2D
D. D2C

Answer: A. E1D

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