Base Converter

Overview

The Base Converter translates numbers between the four most important numeral systems in computing and mathematics: Binary (base-2), Octal (base-8), Decimal (base-10), and Hexadecimal (base-16). It also displays a binary bit visualization for values up to 16 bits.

How to Use

Select the input base using the tab buttons (BIN, OCT, DEC, HEX), then type your number. All four representations update in real time. The bit display below shows a visual grid of the binary value, with each bit lit up in the accent color. Invalid characters for the selected base are automatically blocked.

Background & Context

Binary is the language of all digital computers — every piece of data is ultimately stored as 0s and 1s. Hexadecimal is used extensively in programming for memory addresses, color codes (#RRGGBB), and byte-level data because each hex digit represents exactly four bits. One byte is 8 bits, allowing values from 0 to 255 (0x00 to 0xFF).