Binary ↔ Decimal ↔ HexadecimalConverter

Binary is a base-2 number system that uses only two digits: 0 and 1. Computers use binary because electronic circuits can easily represent these two states - off (0) and on (1).

Each digit in a binary number is called a bit, and 8 bits make a byte. The position of each bit represents a power of 2, starting from 2⁰ (1) on the right.

Converting binary to decimal is straightforward. Each bit position represents a power of 2:

1. Write down the binary number
2. Assign powers of 2 to each position (starting from 2⁰ on the right)
3. Multiply each bit by its corresponding power of 2
4. Add all the results together

Number system conversion is a key topic in GCSE Computer Science. You'll need to understand: