Base Converter Visualizer

Bases in short

• Binary (2): 0–1 — bits, flags, low-level work
• Octal (8): 0–7 — Unix permissions still show it
• Decimal (10): everyday numbers
• Hex (16): 0–9A–F — colors, dumps, addresses

Place value is power of the base. Hex digit A is 10; F is 15.

Conversion sketch

• To decimal: sum digit × base^position
• From decimal: repeated divide by target base; remainders are digits
• Binary ↔ hex: group bits by 4 (one hex digit)

Practical notes

• Prefixed literals: 0b, 0o, 0x in many languages
• Signed integers often use two's complement — positive conversion ≠ signed bit patterns
• Prefer integer inputs when you need exact round-trips

Frequently Asked Questions