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Calculators · Utility
Number Base Converter
Convert numbers between binary, octal, decimal, hexadecimal, and any custom base up to 36.
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Binary (Base 2)
100 0000 0000
Octal (Base 8)
2000
Decimal (Base 10)
1024
Hexadecimal (Base 16)
400
🎛️ Convert to any custom base
SG
🧠Show successive division steps
Show successive division steps
Converting decimal 1024 to Base 36 using successive division:
1024 ÷ 36 = 28, Remainder: G
28 ÷ 36 = 0, Remainder: S
Final Result (reversed remainders): SG
Base Digits Reference Table
| Base System | Digits & Symbols Used |
|---|---|
| Base 2 (Binary) | 0, 1 |
| Base 8 (Octal) | 0, 1, 2, 3, 4, 5, 6, 7 |
| Base 10 (Decimal) | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 |
| Base 16 (Hexadecimal) | 0-9, A, B, C, D, E, F |
| Base 36 (Max) | 0-9, A-Z |
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Number Systems Guide
Understanding positional notations and computer mathematics.
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Binary Foundations
Base 2 uses only two digits (0 and 1) to represent information in computer architectures and electrical voltages.
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Compact Hex Notation
Hexadecimal (Base 16) condenses large binary strings into groups of 4 bits, used widely in color codes and memory indexes.
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Positional Logic
Every number system represents values through positional symbols scaled by exponent powers of that system's base.
Frequently Asked Questions
What is the maximum base supported?
UtilVox supports conversions up to Base 36, which fully utilizes numerals 0-9 followed sequentially by letters A-Z.
Can I convert fractions or decimals?
This converter is optimized for integers. Fractional floating-point base support will be integrated in a future revision.
Are results case-sensitive?
No. You can write your values in either uppercase or lowercase. The engine normalizes all inputs to standard alphanumeric keys.