Decimal to Binary Converter

What is the Decimal to Binary Converter Tool?

The Decimal to Binary Converter Tool converts decimal numbers (base 10) to binary numbers (base 2). It simplifies binary conversion by handling each step automatically.

To use it, enter a decimal number (such as 8 or 16) and press the convert button. The tool divides the decimal number by 2, records the remainders, then reads them in reverse order to produce the binary result.

For example, enter the decimal number 9 and the tool returns its binary equivalent using this method.

Whether you're solving complex math problems or need a quick conversion for a technical task, the Decimal to Binary Converter Tool is a reliable choice. It accurately represents numbers across different systems, making it essential for anyone working with decimal-to-binary conversions.

Also check out our similar tool: Binary to Decimal converter.

Understanding Decimal and Binary Numbers

Decimal and binary are two number systems widely used in computing and digital electronics.

Decimal Numbers (Base 10)

Decimal numbers use ten symbols: digits 0-9. It's the number system we use in everyday life.

Binary Numbers (Base 2)

Binary numbers use two symbols: 0 and 1. Each digit is called a bit. Binary is the foundation of all digital systems.

Decimal to Binary Conversion

To convert a decimal number to binary, follow these steps:

1. Divide: Divide the decimal number by 2 and write down the remainder.
2. Repeat: Keep dividing the quotient by 2, recording remainders, until the quotient reaches 0.
3. Combine: Write the remainders in reverse order to get the binary number.

For example, to convert the decimal number 16 to binary:

1. Divide 16 by 2, remainder is 0.
2. Divide 8 by 2, remainder is 0.
3. Divide 4 by 2, remainder is 0.
4. Divide 2 by 2, remainder is 0.
5. Divide 1 by 2, remainder is 1.
6. Write the remainders in reverse order: 10000.

So, the decimal number 16 equals binary 10000.

Decimal to Binary Conversion Table

Decimal	Binary
0	0000
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001
10	1010
11	1011
12	1100
13	1101
14	1110
15	1111