Binary, decimal and hex converter
Enter your values. The answer and the full worked solution update as you type.
Result
Decimal2024
Binary11111101000
Hexadecimal7E8
Octal3750
Step-by-step solution
To decimal
2·103 + 0·102 + 2·101 + 4·100 = 2024
From decimal
Divide by the new base repeatedly and read the remainders from bottom to top.
Key formulas
- Place values
- binary 2k, octal 8k, hex 16k
- To decimal
- Σ dk·bk
- From decimal
- divide by the base, read the remainders bottom-up
- Hex ↔ binary
- one hex digit = 4 bits
- Two’s complement
- invert the bits and add 1
Practise Number systems
A calculator gives the answer. In the exam you need the method: practise it with new problems, hints and worked solutions.