Decimal to Binary Converter

Convert decimal numbers to binary instantly. Free online decimal to binary calculator with step-by-step conversion method and examples.

💡 Enter decimal → get binary. Example: "255" → "11111111".

From

Decimal Input

Binary Output

How to Convert Decimal to Binary

Step-by-step guide with examples

Input

Convert

Result

What is Decimal to Binary Conversion?

Decimal to binary conversion transforms base-10 numbers into base-2 numbers using only 0s and 1s. This is how computers internally represent all numeric data.

How to Convert Decimal to Binary Step-by-Step

1. Divide the decimal number by 2. 2. Record the remainder (0 or 1). 3. Divide the quotient by 2 again. 4. Repeat until the quotient is 0. 5. Read the remainders from bottom to top. Example: 13 ÷ 2 = 6 R 1, 6 ÷ 2 = 3 R 0, 3 ÷ 2 = 1 R 1, 1 ÷ 2 = 0 R 1 → 1101

Common Use Cases

• Understanding computer number representation. • Programming low-level and embedded systems. • Network address and subnet calculations. • Digital electronics and logic design.

Frequently Asked Questions

4 common questions answered

4 Questions4 AnswersClick to expand

Q1How to convert decimal to binary?

Use the division-by-2 method: divide by 2 repeatedly, record remainders, read bottom-to-top. Example: 10 → 1010 (10÷2=5R0, 5÷2=2R1, 2÷2=1R0, 1÷2=0R1).

Q2What is 255 in binary?

255 in decimal = 11111111 in binary. This is all 8 bits set to 1, the maximum 8-bit unsigned value.

Q3What is 100 in binary?

100 in decimal = 1100100 in binary.

Q4How to convert decimal to binary and hex?

Convert to binary using division-by-2, then group binary digits into sets of 4 for hex. Or use our Decimal to Hex converter directly.