Intro to Computing - How Data is Represented
A computer uses binary to represent data. If you want to store the decimal number 13, which binary number should be stored?
A computer uses binary to represent data. If you want to store the decimal number 13, which binary number should be stored?
hard📝 Application Q8 of 15
Step-by-Step Solution
Solution:
Step 1: Convert decimal 13 to binary
Divide 13 by 2 repeatedly: 13/2=6 remainder 1, 6/2=3 remainder 0, 3/2=1 remainder 1, 1/2=0 remainder 1. Reading remainders backward: 1101.Step 2: Verify binary number
Binary 1101 equals (1x8)+(1x4)+(0x2)+(1x1)=13 decimal.Final Answer:
1101 -> Option AQuick Check:
Decimal 13 = Binary 1101 [OK]
Quick Trick: Convert decimal to binary by dividing by 2 [OK]
Common Mistakes:
- Mixing up remainder order
- Choosing wrong binary digits
- Confusing binary with decimal digits
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