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Binary Conversion, addition & subtraction

Total questions: 75

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

Samuel is learning about binary numbers in his computer science class. His teacher asked him to find the decimal equivalent of the binary number 101₂. What should Samuel's answer be?

a)

4

b)

5

c)

6

d)

7

2.

Mia is organizing her bookshelf and labels each shelf with a binary number. She labels one of the shelves as 011₂. What is the decimal equivalent of the binary number on Mia's shelf?

a)

1

b)

2

c)

3

d)

4

3.

Ella is arranging her collection of 4-bit binary cards. She picks up a card with the binary number 1111. What is the decimal equivalent of this 4-bit binary number?

a)

15

b)

14

c)

13

d)

12

4.

Noah is organizing his collection of 4-bit binary cards. He picks up a card with the binary number 1010. What is the decimal equivalent of the number on Noah's card?

a)

10

b)

9

c)

8

d)

7

5.

Match the following 6-bit binary numbers with their decimal equivalents.

a)

33

1.

100001

b)

34

2.

100010

c)

35

3.

100011

d)

32

4.

100000

6.

Ava is organizing her collection of 6-bit binary codes. She comes across the code 110011. Can you help her convert it to a decimal number?

a)

51

b)

50

c)

49

d)

48

7.

Match the following binary numbers with their decimal equivalents.

a)

128

1.

10000000

b)

64

2.

01000000

c)

32

3.

00100000

d)

16

4.

00010000

8.

Eesha is working on a project where she needs to convert binary numbers to decimal. She comes across the 8-bit binary number 00011111. What is the decimal equivalent of this binary number?

a)

31

b)

15

c)

63

d)

47

9.

Grace is organizing her bookshelf and wants to label each shelf with a unique number. She decides to use binary numbers for the labels. The decimal equivalent of the 8-bit binary number 00101010 that Grace plans to use for one of the shelves is (a)   .

Choose from the below words
42
21
84
56
10.

Amelia is organizing a binary-themed party and wants to create a special code for even-numbered invitations. How can she tell if a binary number is even?

a)

The last digit is 0

b)

The first digit is 1

c)

The number of 1s is odd

d)

The number of 0s is even

11.

Liam is organizing his digital files and wants to use binary numbers for naming. He comes across the 6-bit binary number 101101. What is the decimal equivalent of this binary number?

a)

43

b)

46

c)

45

d)

44

12.

Olivia is labeling her art collection using binary numbers. She labels one piece with the 8-bit binary number 01010101. The decimal equivalent of this binary number is (a)   .

Choose from the below words
170
21
85
42
13.

Lucas is learning about binary numbers and wants to convert the 4-bit binary number 1100 to decimal. What is the decimal equivalent of this binary number?

a)

11

b)

12

c)

9

d)

10

14.

Florence and Arjun are playing a game of computer trivia. Florence asks, "Arjun, do you know what a bit is?"

a)

A group of 8 bytes

b)

A single binary digit

c)

A group of 4 bytes

d)

A type of computer

15.

In a world of bytes and bits, Scarlett and Rohan are on a quest to find out: How many bits make up a nibble?

a)

2

b)

4

c)

8

d)

16

16.

Imagine you're in a digital world, and Sebastian is trying to unlock a mysterious door. He needs to know: How many bits are in a byte to proceed?

a)

4

b)

8

c)

16

d)

32

17.

Florence and Arjun are playing a game of computer trivia. Florence asks, "Arjun, do you know what a bit is?"

a)

A group of 8 bytes

b)

A single binary digit

c)

A group of 4 bytes

d)

A type of computer

18.

In a world of bytes and bits, Scarlett and Rohan are on a quest to find out: How many bits make up a nibble?

a)

2

b)

4

c)

8

d)

16

19.

Imagine you're in a digital world, and Sebastian is trying to unlock a mysterious door. He needs to know: How many bits are in a byte to proceed?

a)

4

b)

8

c)

16

d)

32

20.

Scarlett and Grace are playing a game where they need to convert numbers. Can you help them find out what the binary number for the decimal number 5 is?

a)

101

b)

110

c)

111

d)

100

21.

Freya and Oliver are playing a game of computer trivia. Freya asks, "Oliver, do you know how many Bits are in 1 Byte?"

a)

4 Bits

b)

8 Bits

c)

1000 Bits

d)

100 Bits

22.

Aarav and Amelia are having a debate: How many Kilobytes are in a Megabyte?

a)

100 Kilobytes

b)

1000 Kilobytes

c)

10 Kilobytes

d)

500 Kilobytes

23.

In a world of data, where Priya, Leo, and Grace are on a quest to find the tiniest treasure, what is the smallest unit of data in the table?

a)

Byte

b)

Nibble

c)

Bit

d)

Kilobyte

24.

Arthur and Lily are having a debate: How many Megabytes are in a Gigabyte?

a)

100 Megabytes

b)

1000 Megabytes

c)

10 Megabytes

d)

500 Megabytes

25.

Reorder the following from smallest to biggest

a)

bit

b)

nibble

c)

byte

d)

kilobyte

e)

megabyte

1)
2)
3)
4)
5)
26.

Alexander and Scarlett are having a friendly debate. Alexander claims that a Terabyte is like a treasure chest holding how many Gigabytes?

a)

500 Gigabytes

b)

10 Gigabytes

c)

1000 Gigabytes

d)

100 Gigabytes

27.

James and Kiara are having a friendly debate. James insists that a kilobyte contains a certain number of bytes, but Kiara isn't so sure. Can you help them out? How many bytes are in a kilobyte?

a)

1020 bytes

b)

500 bytes

c)

100 bytes

d)

1000 bytes

28.

Sophia and Sebastian are playing a game of binary bingo. Sophia shouts out the binary number 1101. Can you help Sebastian figure out what the decimal equivalent is?

a)

14

b)

13

c)

12

d)

11

29.

Priya and Samuel are playing a game where they need to decode secret messages. Priya has a binary code "1010" and she needs to convert it to a decimal number to unlock the next clue. Can you help her find the correct number?

a)

8

b)

9

c)

11

d)

10

30.

Evie and Oliver are playing a game with binary numbers. Evie challenges Oliver: "Can you tell me what the decimal representation of the binary number 111 is?" Who will win the challenge?

a)

Evie says it's 5

b)

Oliver thinks it's 6

c)

Evie insists it's 7

d)

Oliver bets it's 8

31.

Rohan and Anaya are playing a game with binary numbers. Rohan challenges Anaya to add the binary numbers 11001 and 00111. Can you help Anaya find the result?

a)

100000

b)

11110

c)

11010

d)

10110

32.

Amelia and William are playing a game with binary numbers. Amelia has the number 00111, and William has 10000. What is the result when they add their numbers together?

a)

10111

b)

11000

c)

10100

d)

11100

33.

Oscar and Aarav are playing a game of binary addition. Oscar challenges Aarav to add the binary numbers 00111 and 10111. Can you help Aarav find the result?

a)

11110

b)

11010

c)

11100

d)

11000

34.

William and Isabelle are playing a game where they need to find the secret code to unlock a treasure chest. The code is the binary representation of the number 128. Can you help them figure it out?

a)

10000000

b)

1000000

c)

100000

d)

10000

35.

Elsie and Sophie are playing a game where they need to find the treasure hidden at the binary castle. The clue to unlock the castle is the binary representation of the number 64. Can you help them find the correct path?

a)

1000000

b)

100000

c)

10000

d)

1000

36.

Aarav and Henry are playing a game where they need to convert numbers into binary. Aarav asks Henry, "What is the binary representation of the number 16?" Can you help Henry find the correct answer?

a)

10000

b)

1000

c)

100

d)

10

37.

Evie and Benjamin are playing a game where they need to find the treasure by solving puzzles. The first puzzle asks: What is the binary representation of the number 8?

a)

1000

b)

100

c)

10

d)

1

38.

Match the following binary sums with their results.

a)

1

1.

1 + 0

b)

0 Carry 1

2.

1 + 1

c)

1 Carry 1

3.

1 + 1 + 1

d)

1

4.

0+1

39.

Isla and Poppy are playing a game of binary bingo! Isla asks Poppy, "What is the binary representation of the number 32?" Can you help Poppy choose the right answer?

a)

100000

b)

10000

c)

1000

d)

100

40.

Mira and James are playing a game with binary numbers. Mira has the binary number 01101, and James has 01011. What is the result when they add their numbers together?

a)

11100

b)

10110

c)

11000

d)

10010

41.

Matilda and Alexander are playing a game of binary addition. Matilda has the binary number 10101, and Alexander has 01010. What is the result when they add their numbers together?

a)

10111

b)

11011

c)

11111

d)

10011

42.

Aarav and Ava are playing a game with binary numbers. Aarav has the number 11010, and Ava has 00101. What is the result when they add their numbers together?

a)

10111

b)

11011

c)

11101

d)

11111

43.

Grace and Samuel are playing a game with binary numbers. Grace says, "If I have 1 apple, and Samuel gives me 0 more, and then I find 1 more apple, how many apples do I have in binary?"

a)

10

b)

101

c)

11

d)

100

44.
What is 173 in binary
a)
10101101
b)
10101001
c)
101101
d)
11111101
45.
State the denary representation for the binary number 0011 1101
a)
60
b)
61
c)
62
d)
63
46.
Convert 173 Decimal to Binary
a)
11000111
b)
11011101
c)
10101101
d)
01110011
47.
Write 45 as a binary number 
a)
00101111
b)
00011101
c)
00101011
d)
00101101
48.
Convert 01100011 from binary to decimal.
a)
98
b)
99
c)
80
d)
121
49.

64 to binary

a)

1000 0000

b)

0100 0000

c)

0010 0000

d)

0001 0000

50.

16 to binary

a)

1000 0000

b)

0100 0000

c)

0010 0000

d)

0001 0000

51.
What is 54 in binary
a)
110110
b)
11011000
c)
10011101
d)
1111
52.
What is 127 in binary
a)
1111111
b)
10000000
c)
11011111
d)
11000010
53.
What is 7 in binary
a)
111
b)
101
c)
1000
d)
1001
54.
What is 253 in binary
a)
11111101
b)
11110101
c)
11001101
d)
11110100
55.
What is 218 in binary
a)
11011010
b)
11011110
c)
11111010
d)
1011010
56.
What is 173 in binary
a)
10101101
b)
10101001
c)
101101
d)
11111101
57.
What is 92 in binary
a)
1011100
b)
11011100
c)
1111100
d)
1011101
58.
What is 146 in binary
a)
10010010
b)
10010011
c)
11010010
d)
10111010
59.
What is 203 in binary
a)
11001011
b)
11011011
c)
1011
d)
11101010
60.

Perform the binary subtraction and fill in the result for the following 1001110-100110:

(a)  

61.
solve the given problem 1111 – 1011 =?
a)
0100
b)
0110
c)
0101
d)
0111
62.
solve the given problem 1010 – 0110=?
a)
0100
b)
1000
c)
0101
d)
0011
63.
solve the given problem 1110 – 0110=?
a)
1000
b)
0100
c)
1100
d)
0011
64.
Solve the given problem 1101 – 0111=?
a)
0110
b)
1001
c)
1100
d)
0011
65.
Solve the given problem 10011 – 1111=?
a)
0100
b)
1000
c)
1100
d)
0011
66.
Solve the given problem 10111 – 1010=?
a)
01101
b)
10001
c)
11000
d)
10101
67.
solve the given problem 10110 – 101=?
a)
01011
b)
10101
c)
10001
d)
11110
68.
solve the give problem 11110 – 1110=?
a)
10000
b)
11001
c)
01111
d)
10101
69.
solve the given problem 110110 – 11101=?
a)
011001
b)
100100
c)
101010
d)
111001
70.

1100 - 1000

a)

100

b)

1000

c)

1010

d)

0001

71.

111 - 110

a)

101

b)

110

c)

111

d)

1

72.

101010 - 101110

a)

100

b)

010

c)

111

d)

110

73.

1-0 is

a)

0

b)

1

74.

1 0 1 1 0 - 1 1 0 1

a)

0 1 1 0 1

b)

1 0 0 0 1

c)

0 1 0 0 1

d)

1 1 0 0 1

75.

1 0 1 1 0 - 1 1 0 1

a)

0 0 1 1 1

b)

0 1 1 0 0

c)

0 1 0 1 0 1

d)

1 1 0 0 1