Intro to Computing - How Data is Represented
Convert the decimal number
18 to binary.Convert the decimal number 18 to binary.
hard📝 Application Q15 of 15
Step-by-Step Solution
Solution:
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.Step 2: Write remainders in reverse order
Reading remainders from last to first: 1 0 0 1 0.Final Answer:
10010 -> Option AQuick Check:
Decimal 18 = Binary 10010 [OK]
Quick Trick: Divide by 2, collect remainders backward [OK]
Common Mistakes:
- Reading remainders in wrong order
- Mixing up division and subtraction steps
- Confusing binary digits with decimal digits
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