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Worksheetsxtgfrt
Total questions: 40
Worksheet time: 20mins
Identify the radix of (1011101)₂
8
10
2
16
What is the largest digit in hexadecimal?
9
F
E
16
Which number system is used in computers?
Decimal
Binary
Octal
Hexadecimal
What is the base of the decimal system?
2
8
10
16
The hexadecimal system consists of how many unique symbols?
6
9
16
15
What is the range of digits in the octal system?
0–7
0–9
0–15
0–8
What is the sum of the largest hexadecimal digit and the largest octal digit in decimal?
15
23
22
25
A memory address is represented as (1D9)₁₆. What is its decimal equivalent?
480
473
482
475
What is the binary representation of the hexadecimal number (1F.8)₁₆?
(00011111.1000)₂
(01111100.1000)₂
(00111110.0100)₂
(10111111.1100)₂
Which of the following decimal numbers is a power of two?
120
512
192
250
What is the result of multiplying (101)₂ by (110)₂ in binary?
10111
1111
11110
11010
Which of the following statements is true about the relationship between hexadecimal and binary?
Each hexadecimal digit corresponds to two binary digits
Each hexadecimal digit corresponds to four binary digits
Each hexadecimal digit corresponds to eight binary digits
Hexadecimal and binary are unrelated
What is the sum of (1EA)₁₆ and (27)10 in decimal?
517
490
520
380
What is the decimal equivalent of (101101.101)₂?
45.25
45.625
46.25
46.5
Which of the following hexadecimal numbers is equivalent to binary (1010111101)₂?
2FD
AF5
3BD
2BD
The decimal number 480 is represented in octal as:
742
740
245
252
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?
87
91
75
101
A software developer is designing a program that requires converting binary values to octal. The system receives (110110101)₂. What is its octal equivalent?
675
655
665
775
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?
ABC
CD
19AD
1A9D
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?
12533
12331
12311
11323
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?
3F7
4E7
3E7
3D9
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?
(11001)₂
(10100)₂
(11000)₂
(10011)₂
A robotics programmer needs to subtract binary values for movement calculations. Given (101110)₂ and (1001)₂, what is the result of the subtraction?
101101
100101
110101
100111
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?
7E8
7D0
7F4
7E4
A software engineer is debugging an error code stored in octal format. The code appears as (547)₈. What is its decimal equivalent?
355
367
359
365
A network security expert needs to find the first complement of a subnet mask represented as (11110000)₂. What is the result?
00001111
11111111
00000000
10101010
A microprocessor performs the operation (A5)₁₆ × (B)₁₆. What is the result in hexadecimal?
717
7A5
8C2
92F
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?
18 GB
20 GB
22 GB
24 GB
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
192.168.1.1
192.178.1.1
193.168.1.1
190.168.1.1
What does the base of a number system indicate in relation to its digits and representation?
The number of digits used in the system
The highest value of a digit in the system
The number of bits required to represent a number
The sum of all digits in the system
What is the correct sequence of positional weights in the binary number system when representing numeric values?
20,21,22,23,…
80,81,82,83,…
100,101,102,103,…
160,161,162,163,…
In modern computing systems, how many bits form the smallest addressable memory unit?
4
8
16
32
In Boolean algebra, what are the two digits that represent true and false states in digital circuits?
0 and 1
1 and 2
0 and 9
1 and 10
In computer memory addressing, which numbering system is commonly used due to its compact representation of binary values?
Binary
Octal
Decimal
Hexadecimal
Which fundamental mathematical process is the basis for operations such as binary addition and logical circuits?
Addition
Multiplication
Arithmetic Operations
Logical Operations
In digital systems, what is the numerical base used by computers to perform all logical and arithmetic operations?
2
8
16
10
In the binary number system, what is the term for the leftmost bit, which determines the sign in signed number representation?
Least Significant Bit (LSB)
Most Significant Bit (MSB)
Leading Bit
Parity Bit
What is the smallest unit of data in computing that can only store two possible values?
Byte
Bit
Nibble
Word
Which number system is most commonly used for financial calculations and scientific measurements?
Binary
Octal
Decimal
Hexadecimal
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?
126 MB
127 MB
128 MB
125 MB
