Decimal to Binary Converter
dec
bin
1. 1 dec × 10 = 10 bin
2. 10 bin ÷ 2 = 5 bin
2. 10 bin ÷ 2 = 5 bin
Unit Information
Decimal (dec)
The decimal number system is base-10, using digits 0-9. It is the most commonly used number system in everyday life.
Decimal to Binary: Convert each digit to its 4-bit binary equivalent
Binary (bin)
The binary number system is base-2, using only 0 and 1. It is the fundamental language of computers and digital systems.
Binary to Decimal: Multiply each digit by its corresponding power of 2
Common Applications
Decimal
- Everyday counting
- Financial calculations
- Scientific notation
- Human-readable numbers
Binary
- Computer memory
- Digital logic
- Machine code
- Digital signals
Examples
- 42 (dec) = 101010 (bin)
- 10 (dec) = 1010 (bin)
- 255 (dec) = 11111111 (bin)
- 1000 (dec) = 1111101000 (bin)
Visual Comparison
Decimal uses 10 digits (0-9)
Binary uses 2 digits (0-1)