Binary and Hexadecimal Conversion Quiz

• 202

• 210

• 192

• 200

Answer explanation

To convert the binary number 11001010 to decimal, calculate: (1*2^7) + (1*2^6) + (0*2^5) + (0*2^4) + (1*2^3) + (0*2^2) + (1*2^1) + (0*2^0) = 128 + 64 + 0 + 0 + 8 + 0 + 2 + 0 = 202.

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DOK Level 2: Skill/Concept

Convert the decimal number 156 to binary.

• 00011100

• 00011010

• 00011110

• 00011000

Answer explanation

To convert 156 to binary, divide by 2 and record the remainders: 156/2=78 (0), 78/2=39 (0), 39/2=19 (1), 19/2=9 (1), 9/2=4 (1), 4/2=2 (0), 2/2=1 (0), 1/2=0 (1). Reading remainders from bottom to top gives 10011100, or 00011100 in 8 bits.

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DOK Level 2: Skill/Concept

• 123

• 127

• 119

• 125

Answer explanation

To convert hexadecimal 7B to decimal, calculate: 7B = 7*16^1 + 11*16^0 = 112 + 11 = 123. Thus, the correct answer is 123.

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DOK Level 2: Skill/Concept

Answer explanation

To convert 255 to hexadecimal, divide by 16. 255 ÷ 16 = 15 remainder 15. The quotient 15 is F and the remainder is also F. Thus, 255 in hexadecimal is FF.

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DOK Level 2: Skill/Concept

Answer explanation

To convert the binary number 10101111 to hexadecimal, group the binary digits into pairs from the right: 10 10 11 11. Convert each pair: 10 = 2, 10 = 2, 11 = 3, 11 = 3. Combine to get AF in hexadecimal.

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DOK Level 2: Skill/Concept

Answer explanation

To convert the hexadecimal number 3C to binary, convert each hex digit: 3 = 0011 and C = 1100. Combining these gives 00111100, which is the correct binary representation.

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DOK Level 2: Skill/Concept

• 105

• 101

• 111

• 109

Answer explanation

To convert the binary number 01101001 to decimal, calculate: (0*2^7) + (1*2^6) + (1*2^5) + (0*2^4) + (1*2^3) + (0*2^2) + (0*2^1) + (1*2^0) = 0 + 64 + 32 + 0 + 8 + 0 + 0 + 1 = 105. Thus, the correct answer is 105.

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DOK Level 2: Skill/Concept

Answer explanation

To convert 78 to binary, divide by 2 and record remainders: 78/2=39 R0, 39/2=19 R1, 19/2=9 R1, 9/2=4 R1, 4/2=2 R0, 2/2=1 R0, 1/2=0 R1. Reading remainders from bottom to top gives 01101110, which is the correct answer.

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DOK Level 2: Skill/Concept

• 157

• 159

• 155

• 153

Answer explanation

To convert hexadecimal 9D to decimal, calculate: 9 * 16^1 + 13 * 16^0 = 144 + 13 = 157. Thus, the correct answer is 157.

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DOK Level 2: Skill/Concept

Answer explanation

To convert 64 to hexadecimal, divide by 16. 64 ÷ 16 = 4 with a remainder of 0. Thus, 64 in decimal is 40 in hexadecimal. Therefore, the correct answer is 40.

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DOK Level 2: Skill/Concept