Number Base Converter
Use this number base converter to transform a decimal integer into binary, octal, hexadecimal and base 32 instantly. It is especially useful for programming, debugging, computer architecture, networking and digital electronics, where the same value is often represented in several number systems. The grouped binary output also makes long binary strings easier to read.
Frequently Asked Questions
Computers use binary (base 2) because electronic components have two stable states: ON (1) and OFF (0). Hexadecimal (base 16) is used as a compact representation — each hex digit represents exactly 4 binary digits (nibble).
Because hexadecimal compresses long binary strings: one hex digit corresponds to four binary bits. That makes memory addresses, colors and low-level values much shorter and easier to scan.
How this calculator works
Formula explanation
**Decimal → Binary:** repeated division by 2, remainder gives bits from LSB to MSB | **Decimal → Hex:** divide by 16, digits 10–15 = A–F
Worked example
**Example:** 255 → Binary: 11111111 | Octal: 377 | Hex: FF
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