Intro to Computing - How Data is Represented
What is the decimal value of the binary number
1011?What is the decimal value of the binary number 1011?
medium📝 Analysis Q13 of Q15
Step-by-Step Solution
Solution:
Step 1: Assign powers of 2 to each bit
From right to left, bits represent 2^0=1, 2^1=2, 2^2=4, 2^3=8.Step 2: Calculate decimal value by adding bits with 1
Bits: 1(8) + 0(4) + 1(2) + 1(1) = 8 + 0 + 2 + 1 = 11.Final Answer:
11 -> Option BQuick Check:
Binary 1011 = Decimal 11 [OK]
Quick Trick: Add powers of 2 where bit is 1, starting from right [OK]
Common Mistakes:
MISTAKES- Misaligning bit positions and powers of 2
- Adding all bits instead of weighted values
- Confusing binary digits with decimal digits
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