Bird
0
0

A student wrote that the binary number for decimal 3 is 100. What is the error in this statement?

medium📝 Analysis Q14 of 15
Intro to Computing - How Data is Represented
A student wrote that the binary number for decimal 3 is 100. What is the error in this statement?
A100 is binary for decimal 4, not 3
B100 is binary for decimal 2, not 3
C100 is binary for decimal 5, not 3
D100 is binary for decimal 1, not 3
Step-by-Step Solution
Solution:

  1. Step 1: Convert binary 100 to decimal

    Binary 100 = (1x4) + (0x2) + (0x1) = 4 + 0 + 0 = 4 decimal.

  2. Step 2: Compare with the student's claim

    The student claimed 100 is decimal 3, but it equals 4, so the error is the wrong decimal value.

  3. Final Answer:

    100 is binary for decimal 4, not 3 -> Option A

  4. Quick Check:

    Binary 100 = Decimal 4 [OK]
Quick Trick: Convert binary to decimal to verify correctness [OK]
Common Mistakes:
  • Assuming binary 100 equals 3
  • Confusing place values in binary
  • Ignoring binary positional weights

Want More Practice?

15+ quiz questions · All difficulty levels · Free

Free Signup - Practice All Questions
More Intro to Computing Quizzes
How Data is Represented - File formats and extensions - Quiz 13medium How Data is Represented - File formats and extensions - Quiz 5medium How Data is Represented - File formats and extensions - Quiz 1easy How Hardware Works - RAM and temporary memory - Quiz 6medium How Hardware Works - Motherboard and component connections - Quiz 2easy How Hardware Works - Input devices (keyboard, mouse, touchscreen) - Quiz 10hard How Hardware Works - Output devices (monitor, printer, speaker) - Quiz 4medium How Software Works - Mobile apps vs desktop applications - Quiz 5medium How the Internet Works - What the internet actually is (network of networks) - Quiz 15hard How the Internet Works - Cloud computing basics - Quiz 15hard