How to Calculate Number System Converter
What is Number System Converter?
Number system converters translate between decimal, binary, octal, hexadecimal, and other number bases.
Step-by-Step Guide
- 1Decimal (base 10): digits 0-9
- 2Binary (base 2): digits 0-1; one decimal = sum of powers of 2
- 3Hex (base 16): digits 0-F; compact representation of binary
Worked Examples
Input
Decimal 255
Result
Binary 11111111, Octal 377, Hex FF
Common in computing
Common Mistakes to Avoid
- ✕Confusing digit values in different bases (F in hex ≠ 15 in decimal)
- ✕Forgetting leading zeros can change digit grouping
Frequently Asked Questions
Why use hexadecimal in computing?
Compact: 4 binary digits = 1 hex digit. Colors, memory addresses, data use hex commonly.
How do you convert binary to hex?
Group binary digits in 4s from right; each group = one hex digit (0-F).
Ready to calculate? Try the free Number System Converter Calculator
Try it yourself →