Binary Numbers: A Comprehensive Guide for Sixth Form Students

Question 1

What is the result of the binary addition 110 + 101?

Accepted Answer

1011

Answer

1001

Answer

1101

Answer

1111

Question 2

Which of the following represents the bitwise AND operation in binary?

Accepted Answer

&

Answer

+

Answer

-

Answer

|

Question 3

What is the largest 8-bit binary number?

Accepted Answer

11111111

Answer

10000000

Answer

11110000

Answer

10001111

Question 4

What is the significance of the leftmost bit in a signed binary number?

Accepted Answer

Sign bit

Answer

Magnitude bit

Answer

Parity bit

Answer

Exponent bit

Question 5

Identify the place value of the rightmost bit in a binary number.

Accepted Answer

1

Answer

2

Answer

4

Answer

8

Question 6

Determine the largest binary number that can be represented using 8 bits.

Accepted Answer

11111111

Answer

10000000

Answer

01111111

Answer

11110000

Question 7

Perform a one-bit right shift on the binary number 101101.

Accepted Answer

01011

Answer

010110

Answer

10110

Answer

00101

Question 8

What is the purpose of a sign bit in binary representation?

Accepted Answer

To indicate the sign of a number

Answer

To indicate the magnitude of a number

Answer

To represent the fractional part of a number

Answer

To indicate the exponent of a number

Question 9

What is the range of values that can be represented by an 8-bit signed integer?

Accepted Answer

-128 to 127

Answer

-127 to 128

Answer

0 to 255

Answer

-255 to 255

Question 10

Which of the following is a valid binary addition operation?

Accepted Answer

1 + 0 = 0

Answer

1 + 1 = 0

Answer

1 + 1 = 10

Answer

0 + 1 = 11

Question 11

Perform binary subtraction: 111 - 101.

Accepted Answer

010

Answer

100

Answer

110

Answer

000

Question 12

What is the bit length of the binary number 10010?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 13

Perform a bitwise OR operation on the binary numbers 0110 and 1001. What is the result?

Accepted Answer

1111

Answer

1110

Answer

1011

Answer

1001

Question 14

Determine the magnitude (absolute value) of the binary number 1101.

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 15

Which binary code represents the letter 'A' in ASCII?

Accepted Answer

01000001

Answer

11000001

Answer

10100001

Answer

00100001

Question 16

What is the primary purpose of using a sign bit in binary representation?

Accepted Answer

To distinguish between positive and negative numbers

Answer

To indicate the number's magnitude

Answer

To hold fractional values

Answer

To represent non-integer numbers

Question 17

In the context of binary numbers, what term describes a continuous sequence of identical bits (0s or 1s)?

Accepted Answer

Run

Answer

Bit field

Answer

Pattern

Answer

Array

Question 18

Translate the binary number 11011001 into its hexadecimal equivalent.

Accepted Answer

B9

Answer

C9

Answer

D9

Answer

E9

Question 19

Determine the decimal equivalent of the binary number 101010.

Accepted Answer

42

Answer

50

Answer

44

Answer

52

Question 20

Identify the invalid binary digit among the following:

Accepted Answer

-1

Answer

0

Answer

1

Answer

2

Question 21

Convert the binary number 101011 to its decimal equivalent.

Accepted Answer

45

Answer

43

Answer

47

Answer

49

Question 22

Calculate the sum of the binary numbers 1011 and 1100.

Accepted Answer

11101

Answer

1011

Answer

1101

Answer

10101

Question 23

Subtract the binary number 1110 from 10011.

Accepted Answer

01011

Answer

10111

Answer

00011

Answer

11011

Question 24

Find the binary equivalent of the hexadecimal number A.

Accepted Answer

1100

Answer

1010

Answer

1111

Answer

1000

Question 25

Which Boolean operator is represented by the symbol '|' in binary logic?

Accepted Answer

OR

Answer

AND

Answer

NOT

Answer

XOR

Question 26

Which operation is equivalent to shifting a binary number 1 bit to the left?

Accepted Answer

Multiply by 2

Answer

Divide by 2

Answer

Add 1

Answer

Subtract 1

Question 27

What is the base of the binary number system?

Accepted Answer

2

Answer

10

Answer

16

Answer

8

Question 28

What is the binary representation of the decimal number 10?

Accepted Answer

1010

Answer

1000

Answer

1001

Answer

1100

Question 29

How many bits are needed to represent the decimal number 15 in binary?

Accepted Answer

4

Answer

3

Answer

5

Question 30

What is the decimal equivalent of the binary number 1000?

Accepted Answer

8

Answer

10

Answer

7

Answer

9

Question 31

Which binary number represents the decimal number 6?

Accepted Answer

110

Answer

101

Answer

111

Answer

100

Question 32

What is the decimal equivalent of the binary number 1011?

Accepted Answer

11

Answer

15

Answer

9

Answer

13

Question 33

Which of the following binary numbers represents the decimal number 25?

Accepted Answer

11001

Answer

11101

Answer

10001

Answer

10101

Question 34

What is the result of the binary addition 101 + 110?

Accepted Answer

1011

Answer

1111

Answer

1101

Answer

1001

Question 35

What is the result of the binary subtraction 1101 - 101?

Accepted Answer

1000

Answer

1110

Answer

1010

Question 36

Which of the following statements is TRUE about binary numbers?

Accepted Answer

They use only two digits: 0 and 1.

Answer

They are used in analog computers.

Answer

They are easier to understand than decimal numbers.

Question 37

What is the place value of the leftmost digit in the binary number 10110?

Accepted Answer

16

Answer

32

Answer

4

Answer

8

Question 38

In binary representation, what is the maximum number that can be represented using 4 bits?

Accepted Answer

15

Answer

31

Answer

7

Answer

8

Question 39

Which of the following binary numbers is equivalent to the decimal number 10?

Accepted Answer

1010

Answer

1100

Answer

1000

Answer

1001

Question 40

What is the binary representation of the decimal number 6?

Accepted Answer

110

Answer

111

Answer

100

Answer

101

Question 41

Why is the binary number system crucial for computers?

Accepted Answer

Because computers use electrical signals that are either on or off, which can be represented by 1 and 0.

Answer

Because binary numbers are easier to convert to decimal numbers.

Question 42

What is the decimal equivalent of the binary number 1011?

Accepted Answer

11

Answer

15

Answer

9

Answer

13

Question 43

Which of the following binary numbers represents the decimal number 20?

Accepted Answer

10100

Answer

10010

Answer

10001

Answer

11000

Question 44

In binary, what is the result of adding 101 and 110?

Accepted Answer

1011

Answer

1001

Answer

1111

Question 45

What is the binary representation of the hexadecimal number A?

Accepted Answer

1010

Answer

1110

Answer

1100

Question 46

Which of the following is NOT a valid binary digit?

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 47

In binary, what is the result of subtracting 10 from 110?

Accepted Answer

100

Answer

101

Answer

111

Answer

011

Question 48

What is the decimal value of the binary number 11001?

Accepted Answer

25

Answer

26

Answer

27

Answer

24

Question 49

Which binary number represents the decimal number 15?

Accepted Answer

1111

Answer

1001

Answer

1110

Answer

1011

Question 50

How many unique combinations can be represented using a 4-bit binary number?

Accepted Answer

16

Answer

8

Answer

64

Answer

32

Question 51

What is the binary equivalent of the decimal number 6?

Accepted Answer

110

Answer

101

Answer

111

Answer

100