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A computer stores data using binary. If the binary number 1001 is stored, what decimal number does it represent?

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Intro to Computing - How Data is Represented
A computer stores data using binary. If the binary number 1001 is stored, what decimal number does it represent?
A7
B11
C5
D9
Step-by-Step Solution
Solution:
  1. Step 1: Convert binary 1001 to decimal

    Calculate (1x8) + (0x4) + (0x2) + (1x1) = 8 + 0 + 0 + 1 = 9.
  2. Step 2: Confirm decimal value

    The decimal equivalent of binary 1001 is 9.
  3. Final Answer:

    9 -> Option D
  4. Quick Check:

    Binary 1001 = Decimal 9 [OK]
Quick Trick: Binary place values: 8,4,2,1 from left to right [OK]
Common Mistakes:
  • Adding wrong place values
  • Confusing binary digits order
  • Mixing decimal and binary digits

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