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What is the decimal value of the 8-bit binary number 00011010?

medium📝 Analysis Q4 of 15
Intro to Computing - How Data is Represented
What is the decimal value of the 8-bit binary number 00011010?
A18
B28
C24
D26
Step-by-Step Solution
Solution:

  1. Step 1: Identify bit values

    From right to left: 0x1 + 1x2 + 0x4 + 1x8 + 1x16 + 0x32 + 0x64 + 0x128.

  2. Step 2: Calculate sum

    2 + 8 + 16 = 26.

  3. Final Answer:

    26 -> Option D

  4. Quick Check:

    Binary 00011010 = 26 decimal [OK]
Quick Trick: Add powers of two where bits are 1 [OK]
Common Mistakes:
  • Misreading bit positions
  • Adding wrong powers of two

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