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Binary → Decimal
Multiply each bit × 2ⁿ, add.
Octal → Decimal
Multiply each digit × 8ⁿ, add.
Hex → Decimal
Multiply each digit × 16ⁿ, add
Decimal → Binary
Divide by 2, record remainders (bottom-up).
Decimal → Octal
Divide by 8, record remainders.
Decimal → Hex
Divide by 16, record remainders
Octal → Binary
Convert each octal digit → 3-bit binary.
Hex → Binary
Convert each hex digit → 4-bit binary
Binary → Octal
Group in 3 bits, convert.
Binary → Hex
Group in 4 bits, convert.
Octal ↔ Hex
Use binary as intermediate.
1 Octal digit
3 binary bits
1 Hex digit
4 binary bits
Decimal to others
Divide by base
Others to Decimal
Multiply digits by baseⁿ