Which binary number equals decimal 37?
Choose one.
To convert decimal to binary, take the largest place value that fits, subtract it, and repeat with the remainder.
The largest place value in 37 is 32, leaving 5. Five is 4 + 1. So the 32s, 4s and 1s places are set and the others are 0: 100101. The distractors flip a bit or two, drop a zero or shift the pattern one place, so each has to be checked rather than guessed.
- Find the largest power of two not above 37: 32.
- Subtract: 37 - 32 = 5, which is 4 + 1.
- Set the 32s, 4s and 1s places: 100101.
Exam tip: Decimal to binary: subtract the largest place value that fits, then repeat.
CompTIA Tech+ IT Concepts: Computing Basics, Number Systems, Units and Troubleshooting — the lesson that teaches this.