Decimal to Binary Converter
Convert decimal to binary instantly. Free online dec to bin calculator for programmers and CS students—with steps and examples.
How to Convert Decimal to Binary
To convert decimal to binary, repeatedly divide the decimal number by 2 and record the remainders. Read the remainders from bottom to top to get the binary representation. This decimal to binary conversion method is the standard algorithm used in computer science and programming.
Decimal to binary: repeatedly divide by 2 and collect remainders (read bottom-up). Essential for programming, digital logic, and networking.
Example: 13₁₀ = 1101₂.
Programming and embedded systems. The table and FAQ on this page walk through the factor if you need it.
Conversion Examples
Example: 10 to binary
- 10÷2=5 r0, 5÷2=2 r1, 2÷2=1 r0, 1÷2=0 r1 → 1010
10 decimal = 1010 binary
Classic textbook example.
Example: 255 to binary
- 255 = 11111111 (8-bit max)
255 decimal = 11111111 binary
Byte-sized value.
Common Use Cases
- Programming and embedded systems.
- Computer science homework.
- IP subnet and bitmask work.
- Digital electronics labs.
Frequently Asked Questions
How do I convert decimal to binary?
Divide by 2, note remainders, read remainders in reverse order.
What is 8 in binary?
1000.
Can I convert large decimals?
Yes—use the calculator above for instant results.