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Convert between binary, octal, decimal, and hex.
🔢 Common uses: programming (hex colors, memory addresses), digital electronics (binary), and file permissions (octal). Try 255 in decimal = FF in hex.
This tool converts numbers between four bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). These are the number systems used in computing.
The Number Base Converter converts binary converterfrom one unit to another using the exact internationally defined conversion factors. Type a value, choose your source and target units, and the converted result is shown instantly — no waiting, no page reload.
Manual conversion is error-prone because it means memorizing ratios (how many feet in a meter, how many pints in a liter). This tool removes that friction: the conversion factor is built in, and the math is done to full precision with no rounding until the final displayed number.
Common uses: people reach for this tool when they need to look up a decimal to binary converter, binary to hex converter, decimal to hexadecimal online, or octal to decimal converter.
Browser-based tools like this one have a few real advantages over installed software or manual methods:
The Number Base Converter is based on the following formula:
N = Σ dᵢ × bⁱ (digits dᵢ, base b, positions i counted from 0 at the right) 1 hex digit = 4 bits 1 octal digit = 3 bits
Variables: b = base: 2 for binary, 8 for octal, 10 for decimal, 16 for hexadecimal dᵢ = the digit in position i (rightmost digit is position 0) bⁱ = the base raised to the power of the position A-F = hex digits standing for 10-15
In positional notation each digit is worth digit × base to the power of its position, counted from 0 on the right. Hexadecimal uses A-F for 10-15, and since 16 = 2⁴, every hex digit maps to exactly 4 binary digits, which is why programmers write binary compactly as hex.
Worked example: Convert hex 0xFF to decimal, binary and octal: 0xFF = 15 × 16 + 15 × 1 = 240 + 15 = 255 255 in binary = 11111111 (two hex digits = 8 bits) 255 in octal = 377 (3 × 64 + 7 × 8 + 7 = 192 + 56 + 7 = 255)
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