Intro to Computing - How Data is Represented
What is the binary representation of the decimal number 5?
What is the binary representation of the decimal number 5?
medium📝 Analysis Q13 of 15
Step-by-Step Solution
Solution:
Step 1: Convert decimal 5 to binary
Divide 5 by 2: 5 ÷ 2 = 2 remainder 1 (LSB), 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1 (MSB). Reading remainders from MSB to LSB gives 101.Step 2: Verify the binary value
Binary 101 = (1x4) + (0x2) + (1x1) = 4 + 0 + 1 = 5 decimal.Final Answer:
101 -> Option DQuick Check:
Decimal 5 = Binary 101 [OK]
Quick Trick: Divide by 2, track remainders from bottom up [OK]
Common Mistakes:
- Reading remainders top-down instead of bottom-up
- Mixing up binary digits
- Choosing closest but incorrect binary number
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