Binary Numbers: A Comprehensive Guide for Beginners

Question 1

How are colors represented in digital images using an 8-bit binary number?

Accepted Answer

Three groups of bits (3 bits each) represent the intensity of red, green, and blue.

Answer

Each bit represents a different shade of a single color.

Answer

The bits are assigned to colors in order, starting with red, then green, and so on.

Answer

Each bit corresponds to a specific hue on the color wheel.

Question 2

Calculate the binary division 111010 ÷ 101 and express the result as a quotient and remainder.

Accepted Answer

Quotient: 110, Remainder: 0

Answer

Quotient: 1010, Remainder: 0

Answer

Quotient: 101, Remainder: 10

Answer

Quotient: 111, Remainder: 0

Question 3

Identify the logic gate that produces a 1 output only when both inputs are 1.

Accepted Answer

AND

Answer

OR

Answer

XOR

Answer

NOT

Question 4

What is the primary function of a binary counter?

Accepted Answer

Event counting

Answer

Data storage

Answer

Numerical calculations

Answer

Decimal-to-binary conversion

Question 5

Which of the following is NOT an advantage of using binary numbers in computers?

Accepted Answer

Accuracy

Answer

Simplicity

Answer

Speed

Answer

Compactness

Question 6

Convert the hexadecimal number F to its binary equivalent.

Accepted Answer

1111

Answer

1015

Answer

1110

Answer

1010

Question 7

Perform a left shift operation by 2 bits on the binary number 1011. What is the result?

Accepted Answer

101100

Answer

010110

Answer

110110

Answer

001011

Question 8

Which logic gate matches this truth table: 
 0 0 | 0 
 0 1 | 0 
 1 0 | 0 
 1 1 | 1

Accepted Answer

AND

Answer

OR

Answer

NOT

Answer

NAND

Question 9

Which of these is a valid binary number?

Accepted Answer

1011

Answer

102

Answer

1.0

Answer

ABC

Question 10

Perform the bitwise OR operation on the binary numbers 0110 and 1001.

Accepted Answer

1111

Answer

0011

Answer

0101

Answer

1010

Question 11

In which application are binary numbers commonly used?

Accepted Answer

Computer memory

Answer

Digital music

Answer

Analog clocks

Answer

Thermometers

Question 12

Which logical operator stands for 'exclusive OR' in binary operations?

Accepted Answer

XOR

Answer

AND

Answer

OR

Answer

NOT

Question 13

What is the purpose of the leading zero in the binary representation of the number 0011?

Accepted Answer

To represent the number zero

Answer

To indicate a negative value

Answer

To indicate a fractional part

Answer

To increase the number's magnitude

Question 14

Which of the following is a disadvantage of using the binary number system?

Accepted Answer

It can be difficult to read and write

Answer

It uses more digits than decimal

Answer

It is not used in most electronic devices

Answer

It is only suitable for representing small numbers

Question 15

What is the decimal equivalent of the binary number one zero one zero one?

Accepted Answer

15

Answer

21

Answer

25

Answer

31

Question 16

Which of the following is a multiple of 4 in binary?

Accepted Answer

1000

Answer

1001

Answer

1100

Answer

1111

Question 17

Convert the decimal number 27 to binary.

Accepted Answer

11011

Answer

11101

Answer

10111

Answer

10011

Question 18

Which of the following binary numbers is invalid?

Accepted Answer

2011

Answer

1011

Answer

1100

Answer

0110

Question 19

What is the result of shifting the binary number 1101 to the right by 1 bit?

Accepted Answer

0110

Answer

1100

Answer

1110

Answer

1011

Question 20

In a computer system, binary numbers are primarily used for:

Accepted Answer

Storing data and instructions

Answer

Processing data only

Answer

Executing instructions only

Answer

Operating the operating system

Question 21

Which of the following is NOT an advantage of using binary numbers in digital systems?

Accepted Answer

Improved accuracy

Answer

Easier to implement circuits

Answer

Increased speed

Answer

Lower power consumption

Question 22

Which of the following methods is used to represent negative numbers in binary?

Accepted Answer

2's complement

Answer

1's complement

Answer

9's complement

Answer

10's complement

Question 23

Represent the number 255 in 8-bit binary.

Accepted Answer

11111111

Answer

00000000

Answer

10000000

Answer

11111110

Question 24

What is stored in a register in a computer system?

Accepted Answer

Binary number

Answer

Decimal number

Answer

Hexadecimal number

Answer

Analog signal

Question 25

Which of the following is not a valid binary number?

Accepted Answer

2101

Answer

1010

Answer

1110

Answer

0011

Question 26

What is the result of adding the binary numbers 101 and 110?

Accepted Answer

1110

Answer

210

Answer

1010

Answer

1001

Question 27

What is the place value of the least significant bit (LSB) in a binary number?

Accepted Answer

1

Answer

2

Answer

4

Answer

8

Question 28

How many different values can be represented with an n-bit binary number?

Accepted Answer

2^n

Answer

n

Answer

2n

Answer

n^2

Question 29

Which of the following is NOT a benefit of using binary numbers in computer systems?

Accepted Answer

Compatibility with Other Number Systems

Answer

Compactness

Answer

Reduced Processing Complexity

Answer

Faster Processing Speeds

Question 30

What does the leading '1' in the 2's complement representation of a negative number indicate?

Accepted Answer

Negative sign

Answer

Start of fractional part

Answer

Number of significant digits

Answer

No specific meaning

Question 31

Which field extensively employs the binary number system?

Accepted Answer

Computer Programming

Answer

Accounting

Answer

Chemistry

Answer

Biology

Question 32

Why are binary numbers used in digital electronics?

Accepted Answer

To represent logical states (0 and 1) using transistors.

Answer

To simplify mathematical calculations.

Answer

To encode audio and video signals.

Question 33

What advantage do binary numbers offer in computers?

Accepted Answer

Efficient storage and processing of data

Answer

Easier readability for humans

Answer

Higher accuracy than decimal numbers

Question 34

Distinguish between a bit and a byte.

Accepted Answer

A bit is the smallest unit of data, while a byte is a collection of 8 bits.

Answer

A byte is the smallest unit of data, while a bit is a collection of 8 bytes.

Answer

Bits and bytes are interchangeable terms.

Question 35

A computer stores the value 00110100 in 8 bits. What is the decimal equivalent of this binary number?

Accepted Answer

52

Answer

60

Answer

48

Answer

64

Question 36

In binary arithmetic, what is the result of 1 + 1?

Accepted Answer

10

Answer

00

Answer

01

Answer

11

Question 37

What is the binary representation of the negative decimal number -5 using two's complement?

Accepted Answer

11111011

Answer

10000101

Answer

00000101

Answer

10111101

Question 38

What is the binary representation of the decimal number 12?

Accepted Answer

1100

Answer

1000

Answer

1010

Answer

1110

Question 39

What is the binary equivalent of the hexadecimal number A?

Accepted Answer

1010

Answer

1110

Answer

1000

Answer

1100

Question 40

Which binary number represents the decimal number 25?

Accepted Answer

11001

Answer

10000

Answer

11011

Answer

10101

Question 41

What is the largest decimal number that can be represented using 4 bits?

Accepted Answer

15

Answer

7

Answer

31

Answer

16

Question 42

How many bits are needed to represent the decimal number 50?

Accepted Answer

6

Answer

7

Answer

5

Question 43

Which of these is NOT a valid binary number?

Accepted Answer

102

Answer

1111

Answer

1010

Answer

0001

Question 44

What is the decimal equivalent of the binary number 11101?

Accepted Answer

29

Answer

27

Answer

33

Answer

31

Question 45

What is the decimal equivalent of the binary number 1011?

Accepted Answer

11

Answer

13

Answer

9

Answer

15

Question 46

Which of the following is the binary representation of the decimal number 12?

Accepted Answer

1100

Answer

1011

Answer

1001

Answer

1110

Question 47

What is the result of adding the binary numbers 101 and 11?

Accepted Answer

1000

Answer

1110

Answer

1111

Answer

1100

Question 48

What is the largest decimal number you can represent using 4 binary digits (bits)?

Accepted Answer

15

Answer

7

Answer

16

Answer

8

Question 49

Which of these is a TRUE statement about binary numbers?

Accepted Answer

Computers use binary numbers to store and process information.

Answer

Binary numbers are used to represent letters of the alphabet directly.

Answer

Binary numbers are used in everyday life like counting money.

Question 50

What is the binary equivalent of the decimal number 25?

Accepted Answer

11001

Answer

11010

Answer

10011

Question 51

What is the result of subtracting the binary number 10 from 110?

Accepted Answer

100

Answer

101

Answer

111

Answer

110

Question 52

What is the decimal equivalent of the binary number 11101?

Accepted Answer

29

Answer

31

Answer

33

Answer

27

Question 53

Which binary number represents the decimal number 8?

Accepted Answer

1000

Answer

1110

Answer

1010

Answer

1100

Question 54

What is the base of the binary number system?

Accepted Answer

2

Answer

8

Answer

10