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Number Base Converter

Convert between binary, octal, decimal, hexadecimal and any base

Binary (Base 2)
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Octal (Base 8)
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Decimal (Base 10)
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Hexadecimal (Base 16)
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Quick Reference
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What is Number Base Converter?

Free number base converter. Convert numbers between binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and any custom base. Developer utilities built for web developers, software engineers, and programmers. TekPulse's Number Base Converter is completely free — no signup, no ads in results, and no data stored on our servers.

How to Use Number Base Converter Online

  1. Enter a number in the source base (e.g. type 255 in Decimal)
  2. The converted value instantly appears in Binary (base 2), Octal (base 8), and Hexadecimal (base 16)
  3. Use the "Custom Base" field to convert to any base from 2 to 36
  4. Click any result to copy it to clipboard
  5. Useful for programming, networking (IP addresses in binary), and digital electronics

Number Base Converter Formula & Calculation

Value = Σ (digit × baseᵖᵒˢⁱᵗⁱᵒⁿ) — positional notation; conversion goes through decimal as the common intermediate

Every number system is positional: each digit's contribution is the digit's value times the base raised to its position (counting from 0 at the rightmost digit). To convert between any two arbitrary bases, this tool first parses the input in its source base down to a plain decimal integer, then repeatedly divides that decimal value by the target base, collecting remainders, to build the output digit by digit.

Example: hex 1A in base 16 → 1×16¹ + 10×16⁰ = 16 + 10 = 26 (decimal) → binary: 26 = 16+8+2 = 11010 → octal: 26 = 3×8 + 2 = 32₈.

Key Factors That Affect Your Result

  1. Bit grouping — Binary output is grouped in 4-bit nibbles and hex in byte pairs purely for readability (a nibble maps exactly to one hex digit), not because the underlying value changes.
  2. One's complement vs two's complement — One's complement simply flips every bit (~n). Two's complement (what computers actually use for signed integers) is one's complement plus 1, and is what makes addition/subtraction of negative numbers work with ordinary binary adder circuits — this tool shows one's complement for reference, not the CPU-accurate signed representation.
  3. JavaScript integer limits — parseInt/toString handle bases 2–36 but lose precision beyond Number.MAX_SAFE_INTEGER (2⁵³−1 ≈ 9 quadrillion) — very large base conversions (e.g. huge hex values) can silently round.

Why Use TekPulse Number Base Converter?

Runs Entirely in Your Browser
All base conversions use native JavaScript — nothing is sent to a server
Binary, Octal, Decimal, Hex & Custom
Convert simultaneously between the 4 common bases plus any custom base from 2 to 36
Bitwise Info
See bit length, signed 32-bit value and one's complement for the number
Grouped Output
Binary is grouped in nibbles and hex in byte pairs for easier reading

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Frequently Asked Questions

Binary uses only 0 and 1. It is the native language of computers because transistors have two states: on (1) and off (0). Decimal 10 = Binary 1010. 8 binary digits = 1 byte.

Hexadecimal uses digits 0–9 and letters A–F (representing 10–15). It is compact — one hex digit represents 4 binary bits. Used in color codes (#FF5733), memory addresses, and programming. Decimal 255 = Hex FF.

Octal uses digits 0–7. It was commonly used in early computing and is still used in Unix file permissions (chmod 755 = rwxr-xr-x). Decimal 8 = Octal 10.

Divide the decimal number by 2, record the remainder (0 or 1), divide the quotient by 2 again, repeat until quotient is 0. Read the remainders from bottom to top. Example: 13 → 13/2=6r1, 6/2=3r0, 3/2=1r1, 1/2=0r1 → Binary: 1101.

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