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Convert the decimal number 18 to binary.

hard🚀 Application Q15 of Q15
Intro to Computing - How Data is Represented
Convert the decimal number 18 to binary.
A10010
B11001
C10110
D10001
Step-by-Step Solution
Solution:

  1. Step 1: Divide decimal number by 2 repeatedly

    18 ÷ 2 = 9 remainder 0; 9 ÷ 2 = 4 remainder 1; 4 ÷ 2 = 2 remainder 0; 2 ÷ 2 = 1 remainder 0; 1 ÷ 2 = 0 remainder 1.

  2. Step 2: Write remainders in reverse order

    Reading remainders from last to first: 1 0 0 1 0.

  3. Final Answer:

    10010 -> Option A

  4. Quick Check:

    Decimal 18 = Binary 10010 [OK]
Quick Trick: Divide by 2, collect remainders backward [OK]
Common Mistakes:
MISTAKES
  • Reading remainders in wrong order
  • Mixing up division and subtraction steps
  • Confusing binary digits with decimal digits

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