easyMultiple Choice
FC0-U71 Practice Question: The binary representation of the decimal number…
What is the binary representation of the decimal number 10?
⚠ Common exam trap
Many candidates confuse the binary for 10 with the binary for 12 (1100) or 14 (1110) by misplacing the '1' bits, or they incorrectly convert by adding 1 to the binary for 9 (1001) instead of performing proper division.
Answer choices
Why each option matters
Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.
Correct answer & explanation
✓
1010
The decimal number 10 is converted to binary by dividing by 2 repeatedly: 10 ÷ 2 = 5 remainder 0, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1. Reading the remainders from bottom to top gives 1010. This matches option C.
Answer analysis
Option-by-option breakdown
For each option: why learners choose it and why it is or isn't the right answer here.
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1001
Why it's wrong here
1001 equals 8+1, which is 9, not 10. It is tempting because it is a four-bit value beginning with 1 and containing two set bits, matching 10's binary pattern superficially. 1001 would be the correct representation of decimal 9.
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1110
Why it's wrong here
1110 equals 8+4+2, which is 14, not 10. It is tempting because it uses four bits and starts with the leading 1 that 10's binary form shares, so it looks structurally similar. 1110 would be the correct representation of decimal 14.
- ✓
1010
Why this is correct
Converting decimal 10 by repeated division by two yields remainders 0, 1, 0, 1, which read bottom-to-top give 1010. This satisfies the stem's requirement for the binary representation of ten: 8 + 2 = 10, matching the four-bit value exactly.
- ✗
1100
Why it's wrong here
1100 equals 8+4, which is 12, not 10. It is tempting because it is a four-bit value with the leading 1 and two set bits that 10's binary form also has. 1100 would be the correct representation of decimal 12.
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Written by Johnson Ajibi, MSc IT Security
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