Computer Studies – Concepts of Number System

Computer Studies Practice Tests – Concepts of Number System (Questions with Answers and Explanations)

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Convert 10101.101₂ to a decimal fraction.

A. $69\frac{5}{8}$ B. $69\frac{3}{8}$ C. $21\frac{5}{8}$ D. $21\frac{3}{8}$

A B C D

Convert 7653₈ to base 10.

A. 111015₁₆ B. 151011₁₆ C. FBA₁₆ D. FAB₁₆

A B C D

Convert 111011110011₂ to octal.

A. 7851₈ B. 351₈ C. 7351₈ D. 352₈

A B C D

Which of the following hexadecimal alphabets stands for twelve (13)?

A. B B. C C. D D. E

A B C D

Convert CD0₁₆to Binary

A. 1011111001000₂ B. 1011111000₂ C. 1011110001000₂ D. 1011110111000₂

A B C D

Express 4C6E₁₆ in base ten

A. 19556 B. 19566 C. 19565 D. 18566

A B C D

The sum of 110₂ + 101₂ is ______ (WASSCE 2020)

A. 1101₂ B. 1110₂ C. 1100₂ D. 1011₂

A B C D

Express 34.52_eight as a denary

A. 24 B 4 C. $28\frac{21}{32}$ D. $5\frac{21}{64}$

A B C D

Express 101.10101_two as a denary.

A. 5 B. 5.5 C. 5 $\frac{21}{32}$ D. 5 $\frac{1}{32}$

A B C D

10.

Determine the decimal value for (1FF)₁₆ (NECO 2016)

A. 211₁₀ B. 510₁₀ C. 511₁₀ D. 210₁₀

A B C D

11.

Express 3B4₁₆ in base 10

A. 768 B. 984 C. 948 D. 786

A B C D

12.

The number 101100101₂ in denary is _______ (WASSCE 2021)

A. 753 B. 653 C. 357 D. 356

A B C D

13.

The binary representation of 100110 is numerically equivalent to ______

A. 46₈ B. 46₁₀ C. 46₁₆ D. 76₈

A B C D

14.

Convert 93 to binary.

A. 1011101₂ B. 1010101₂ C. 10100101₂ D. 10011101₂

A B C D

15.

Convert 11011₂ to base 10.

A. 17 B. 28 C. 31 D. 37

A B C D

16.

What is the binary equivalent of 6D₁₆?

A. 1101110₂ B. 1110101₂ C. 1101101₂ D. 1011010₂

A B C D

17.

Convert 100100010111111₂ to base 16

A. 47BF₁₆ B. 48BF₁₆ C. 47CF₁₆ D. 48CF₁₆

A B C D

18.

Convert 0.125 to base two (NECO 2018)

A. 0.1₂ B. 0.01₂ C. 0.001₂ D. 0.0001₂

A B C D

19.

Express 0.075₈ in base ten.

A. $\frac{21}{256}$ B. $\frac{21}{512}$ C. $\frac{7}{64}$ D. $\frac{61}{512}$

A B C D

20.

The decimal number 1024 in hexadecimal equivalent is _______ (WASSCE 2016)

A. 24₁₆ B. 400₁₆ C. 3E8₁₆ D. 8BB₁₆

A B C D

21.

Convert 11011₂ to base 10. (NECO 2014)

A. 17 B. 27 C. 31 D. 37

A B C D

22.

The _____ system is a base two and therefore requires only two digits, 0 and 1.

A. binary B. computer C. denary D. octet

A B C D

23.

Express 3DF.2B₁₆ as a denary

A. $\frac{2}{16}$ B. $\frac{21}{256}$ C. $99\frac{43}{256}$ D. $991\frac{43}{256}$

A B C D

24.

Convert 1001010₂ to base 8

A. 74₈ B. 78₈ C. 112₈ D. 110₈

A B C D

25.

Convert 11011111100₂ to base 16

A. 6AC₁₆ B. 6FC₁₆ C. 6FB₁₆ D. 6FD₁₆

A B C D

26.

Which of the following hexadecimal alphabets stands for twelve (14)?

A. B B. C C. D D. E

A B C D

27.

Convert 1011101₂ to decimal.

A. 90₁₀ B. 91₁₀ C. 92₁₀ D. 93₁₀

A B C D

28.

Express 3047₈ in base ten.

A. 1438 B. 1500 C. 1570 D. 1575

A B C D

29.

Convert 127₁₆ to a number in base ten.

A. 256 B. 32 C. 7 D. 295

A B C D

30.

Convert 47₈ to its binary equivalent (WASSCE 2015)

A. 100111₂ B. 110011₂ C. 10001₂ D. 1111011₂

A B C D

31.

Convert 1011010001₂ to decimal.

A. 21₁₀ B. 719₁₀ C. 720₁₀ D. 721₁₀

A B C D

32.

Which of the following hexadecimal alphabets stands for twelve (12)?

A. B B. C C. D D. E

A B C D

33.

What is the full meaning of BCD?

A. Binary Characters Digit
B. Binary Coded Decimal
C. Binary Coded Digits
D. Binary Computing Decimal

A B C D

34.

Convert D6E5₁₆ to a number in base ten.

A. 55013 B. 55130 C. 55031 D. 55113

A B C D

35.

Convert $1198\frac{13}{128}$ to a number in base 16.

A. 4AE₁₆ B. 4104₁₆ C. 1A₁₆ D. 4AE.1A₁₆

A B C D

36.

Which of the following hexadecimal alphabets stands for twelve (11)?

A. B B. C C. D D. E

A B C D

37.

Express 7CDF₁₆ in base ten.

A. 30,967 B. 31,967 C. 31,976 D. 30,976

A B C D

38.

Convert $\frac{5}{8}$ to a number in base two.

A. 0.011₂ B. 0.101₂ C. 0.110₂ D. 0.001₂

A B C D

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