Number Systems and Conversion
A guide to binary, decimal, and hexadecimal conversion, built to make place value, grouping, and base changes feel systematic rather than memorised.
Key formulas
Why base conversion matters
Binary is natural for digital logic. Decimal is natural for everyday counting. Hexadecimal compresses binary neatly and is widely used in systems work.
Once place value is clear, the conversions become a method rather than a memory test.
Common mistakes
- Reading a binary or hex string left to right without applying place value.
- Forgetting that hexadecimal uses digits A to F for values 10 to 15.
- Losing leading zeros that matter for grouping or fixed-width representations.
Apply the topic straight away.
Binary to Decimal Calculator
Use the Binary to Decimal Calculator to work out binary to decimal for networking, storage, or systems planning.
Decimal to Binary Calculator
Use the Decimal to Binary Calculator to work out decimal to binary for networking, storage, or systems planning.
Decimal to Hex Calculator
Use the Decimal to Hex Calculator to work out decimal to hex for networking, storage, or systems planning.
Hex to Decimal Calculator
Use the Hex to Decimal Calculator to work out hex to decimal for networking, storage, or systems planning.