# Decimal to Binary Converter

To use this decimal to binary converter tool, you should type a decimal value like 308 into the left field below, and then hit the Convert button. This way you can convert up to 10 decimal characters (max. value of 4294967295) to binary value.

## Decimal System

Decimal number system is the most commonly used and the most familiar one to the general public. It is also known as Base 10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. In decimal system, every digit has its own position as well as the decimal point. I.e. the number 356.74 has 4 in the Hundredths position, 7 in the Tenths position, 6 in the Units position, 5 in the Tens position, and 3 in the Hundreds position. Decimal number system is also one of the oldest known numeral system, which is historically related to Hindu-Arabic numeral system.

## Binary System

Binary is the simplest kind of number system that uses only two digits of 0 and 1. By using these digits computational problems can be solved by machines because in digital electronics a transistor is used in two states. Those two states can be represented by 0 and 1. That is why this number system is the most preferred in modern computer engineer, networking and communication specialists, and other professionals.

#### Decimal to binary conversion examples

• (51)10 = (110011)2
• (217)10 = (11011001)2
• (8023)10 = (1111101010111)2

Related converters: Binary To Decimal Converter

DecimalBinary
00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
101010
111011
121100
131101
141110
15 1111