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Worksheets

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Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

Identify the radix of (1011101)₂

a)

8

b)

10

c)

2

d)

16

2.

What is the largest digit in hexadecimal?

a)

9

b)

F

c)

E

d)

16

3.

Which number system is used in computers?

a)

Decimal

b)

Binary

c)

Octal

d)

Hexadecimal

4.

What is the base of the decimal system?

a)

2

b)

8

c)

10

d)

16

5.

The hexadecimal system consists of how many unique symbols?

a)

6

b)

9

c)

16

d)

15

6.

What is the range of digits in the octal system?

a)

0–7

b)

0–9

c)

0–15

d)

0–8

7.

What is the sum of the largest hexadecimal digit and the largest octal digit in decimal?

a)

15

b)

23

c)

22

d)

25

8.

A memory address is represented as (1D9)₁₆. What is its decimal equivalent?

a)

480

b)

473

c)

482

d)

475

9.

What is the binary representation of the hexadecimal number (1F.8)₁₆?

a)

(00011111.1000)₂

b)

(01111100.1000)₂

c)

(00111110.0100)₂

d)

(10111111.1100)₂

10.

Which of the following decimal numbers is a power of two?

a)

120

b)

512

c)

192

d)

250

11.

What is the result of multiplying (101)₂ by (110)₂ in binary?

a)

10111

b)

1111

c)

11110

d)

11010

12.

Which of the following statements is true about the relationship between hexadecimal and binary?

a)

Each hexadecimal digit corresponds to two binary digits

b)

Each hexadecimal digit corresponds to four binary digits

c)

Each hexadecimal digit corresponds to eight binary digits

d)

Hexadecimal and binary are unrelated

13.

What is the sum of (1EA)₁₆ and (27)10 in decimal?

a)

517

b)

490

c)

520

d)

380

14.

What is the decimal equivalent of (101101.101)₂?

a)

45.25

b)

45.625

c)

46.25

d)

46.5

15.

Which of the following hexadecimal numbers is equivalent to binary (1010111101)₂?

a)

2FD

b)

AF5

c)

3BD

d)

2BD

16.

The decimal number 480 is represented in octal as:

a)

742

b)

740

c)

245

d)

252

17.

A digital circuit designer is working on a system that requires converting binary numbers to decimal for proper processing. He encounters the binary number (1011011)₂. What is the decimal equivalent of this number?

a)

87

b)

91

c)

75

d)

101

18.

A software developer is designing a program that requires converting binary values to octal. The system receives (110110101)₂. What is its octal equivalent?

a)

675

b)

655

c)

665

d)

775

19.

A cybersecurity analyst is analyzing log files stored in binary format. One of the recorded values is (1100110101101)₂. To make it readable, he must convert it to hexadecimal. What is the equivalent hexadecimal representation?

a)

ABC

b)

CD

c)

19AD

d)

1A9D

20.

A network engineer is configuring a router and needs to convert the decimal number (5321)₁₀ to octal format for a subnet mask setting. What is the correct octal representation?

a)

12533

b)

12331

c)

12311

d)

11323

21.

An embedded systems developer needs to store a decimal value efficiently in a hexadecimal format. He is working with (999)₁₀. What is its hexadecimal representation?

a)

3F7

b)

4E7

c)

3E7

d)

3D9

22.

An electrical engineer is designing a circuit that uses binary addition. The circuit processes two binary inputs: (1011)₂ and (1101)₂. What is their sum in binary?

a)

(11001)

b)

(10100)

c)

(11000)

d)

(10011)

23.

A robotics programmer needs to subtract binary values for movement calculations. Given (101110)₂ and (1001)₂, what is the result of the subtraction?

a)

101101

b)

100101

c)

110101

d)

100111

24.

A game developer is optimizing storage by converting large decimal numbers to hexadecimal. One value in the game engine is (2024)₁₀. What is its hexadecimal representation?

a)

7E8

b)

7D0

c)

7F4

d)

7E4

25.

A software engineer is debugging an error code stored in octal format. The code appears as (547)₈. What is its decimal equivalent?

a)

355

b)

367

c)

359

d)

365

26.

A network security expert needs to find the first complement of a subnet mask represented as (11110000)₂. What is the result?

a)

00001111

b)

11111111

c)

00000000

d)

10101010

27.

A microprocessor performs the operation (A5)₁₆ × (B)₁₆. What is the result in hexadecimal?

a)

717

b)

7A5

c)

8C2

d)

92F

28.

A cloud storage provider needs to allocate disk space for users. Each user is assigned (10100)₂ GB. What is the storage space in decimal?

a)

18 GB

b)

20 GB

c)

22 GB

d)

24 GB

29.

A networking engineer is configuring an IP address in binary form. The system displays (11000000.10101000.00000001.00000001)₂. What is the equivalent decimal IP

a)

192.168.1.1

b)

192.178.1.1

c)

193.168.1.1

d)

190.168.1.1

30.

What does the base of a number system indicate in relation to its digits and representation?

a)

The number of digits used in the system

b)

The highest value of a digit in the system

c)

The number of bits required to represent a number

d)

The sum of all digits in the system

31.

What is the correct sequence of positional weights in the binary number system when representing numeric values?

a)

20,21,22,23,…

b)

80,81,82,83,…

c)

100,101,102,103,…

d)

160,161,162,163,…

32.

In modern computing systems, how many bits form the smallest addressable memory unit?

a)

4

b)

8

c)

16

d)

32

33.

In Boolean algebra, what are the two digits that represent true and false states in digital circuits?

a)

0 and 1

b)

1 and 2

c)

0 and 9

d)

1 and 10

34.

In computer memory addressing, which numbering system is commonly used due to its compact representation of binary values?

a)

Binary

b)

Octal

c)

Decimal

d)

Hexadecimal

35.

Which fundamental mathematical process is the basis for operations such as binary addition and logical circuits?

a)

Addition

b)

Multiplication

c)

Arithmetic Operations

d)

Logical Operations

36.

In digital systems, what is the numerical base used by computers to perform all logical and arithmetic operations?

a)

2

b)

8

c)

16

d)

10

37.

In the binary number system, what is the term for the leftmost bit, which determines the sign in signed number representation?

a)

Least Significant Bit (LSB)

b)

Most Significant Bit (MSB)

c)

Leading Bit

d)

Parity Bit

38.

What is the smallest unit of data in computing that can only store two possible values?

a)

Byte

b)

Bit

c)

Nibble

d)

Word

39.

Which number system is most commonly used for financial calculations and scientific measurements?

a)

Binary

b)

Octal

c)

Decimal

d)

Hexadecimal

40.

A database administrator is storing large amounts of data and wants to check memory usage. The system reports (7F)₁₆ MB used. What is this value in decimal?

a)

126 MB

b)

127 MB

c)

128 MB

d)

125 MB