Number Base Converter

This tool supports binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16) — the four most commonly used number bases in programming and computing.

Different bases are used in different contexts: hexadecimal for colors and memory addresses, binary for bitwise operations and hardware, octal for Unix file permissions, and decimal for general calculations.

The tool uses JavaScript's parseInt which safely handles integers up to 2^53 - 1 (9,007,199,254,740,991). For most development tasks, this is more than sufficient.

Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15. Each hex digit represents 4 bits. For example, 0xFF equals 255 in decimal (15 x 16 + 15). Hex is widely used for CSS colors (#FF0000 is red), memory addresses, and MAC addresses.

Converting a number between different numeral systems like decimal (base-10), binary (base-2), hex (base-16).

Hex is compact (1 digit = 4 bits) and maps directly to binary, making it ideal for memory addresses and colors.

Divide by 2 repeatedly and read remainders from bottom to top.

Decimal to binary (computers), decimal to hex (colors and memory), and hex to decimal (debugging).

Computers use binary (base-2) because transistors have two states: on (1) and off (0).

Octal (base-8) was historically common in Unix file permissions and some legacy systems.