Binary and Decimal Conversion Quiz

• 9

• 11

• 13

• 15

Answer explanation

To convert the binary number 1011 to decimal, calculate: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11. Thus, the decimal equivalent is 11.

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DOK Level 2: Skill/Concept

• 24

• 26

• 28

• 30

Answer explanation

To convert the binary number 11010 to decimal, calculate: 1*2^4 + 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 16 + 8 + 0 + 2 + 0 = 26. Thus, the decimal equivalent is 26.

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DOK Level 2: Skill/Concept

Convert the decimal number 18 to binary.

Answer explanation

To convert 18 to binary, divide by 2 and record the remainders. 18 ÷ 2 = 9 (0), 9 ÷ 2 = 4 (1), 4 ÷ 2 = 2 (0), 2 ÷ 2 = 1 (0), 1 ÷ 2 = 0 (1). Reading the remainders from bottom to top gives 10010, which is the correct answer.

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DOK Level 2: Skill/Concept

What is the binary representation of the decimal number 25?

Answer explanation

To convert the decimal number 25 to binary, divide by 2 and record the remainders. 25 ÷ 2 = 12 remainder 1, 12 ÷ 2 = 6 remainder 0, 6 ÷ 2 = 3 remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1. Reading the remainders from bottom to top gives 11001.

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DOK Level 2: Skill/Concept

• 12

• 13

• 14

• 15

Answer explanation

To convert the binary number 1110 to decimal, calculate: 1*2^3 + 1*2^2 + 1*2^1 + 0*2^0 = 8 + 4 + 2 + 0 = 14. Thus, the correct answer is 14.

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DOK Level 2: Skill/Concept

• 17

• 19

• 21

• 23

Answer explanation

To convert the binary number 10011 to decimal, calculate: 1*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 16 + 0 + 0 + 2 + 1 = 19. Thus, the decimal equivalent is 19.

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DOK Level 2: Skill/Concept

Convert the decimal number 29 to binary.

Answer explanation

To convert 29 to binary, divide by 2 and record the remainders: 29/2=14 R1, 14/2=7 R0, 7/2=3 R1, 3/2=1 R1, 1/2=0 R1. Reading the remainders from bottom to top gives 11101, which is the correct binary representation.

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DOK Level 2: Skill/Concept

What is the binary representation of the decimal number 34?

Answer explanation

To convert the decimal number 34 to binary, divide by 2 and record the remainders. 34 ÷ 2 = 17 (0), 17 ÷ 2 = 8 (1), 8 ÷ 2 = 4 (0), 4 ÷ 2 = 2 (0), 2 ÷ 2 = 1 (0), 1 ÷ 2 = 0 (1). Reading the remainders from bottom to top gives 100010.

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DOK Level 2: Skill/Concept

• 19

• 21

• 23

• 25

Answer explanation

To convert the binary number 10101 to decimal, calculate: 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 16 + 0 + 4 + 0 + 1 = 21. Thus, the correct answer is 21.

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DOK Level 2: Skill/Concept

• 29

• 30

• 31

• 32

Answer explanation

To convert the binary number 11111 to decimal, calculate: 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0 = 16 + 8 + 4 + 2 + 1 = 31. Thus, the decimal equivalent is 31.

Tags

DOK Level 2: Skill/Concept