DECIMAL TO BINARY CONVERSION

The decimal number system that we used everyday contains ten digits, 0 through 9 and the base of this system is 10.

There is another very important number system known as Binary Number System which contains only two digits, 0 and 1. So the base of binary number system is 2.

To avoid confusion while using different numeral systems, the base of each individual number may be specified by writing it as subscript of the number.

For example, the decimal number 156 will be written as 15610. The binary number 10011100 will be specified as 100111002.

In the binary system, only 2 digits are used, namely 0 and 1. The positional values in a base 2 system are ….,

2⁴, 2³, 2², 2¹, 2⁰

Note : There is no 2 in base 2.

For (1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1111, …..)

For example, the number 10011 (base 2) means :

=  1 x 2⁴ + 0 x 2³ + 0 x 2² + 1 x 2¹ + 1 x 2⁰  

=  16 + 0 + 0 + 2 + 1  

=  19 (base 10)

Converting Decimal to Binary - Example

A decimal number 35 (base 10) can be converted to binary number (base 2) using the method explained below.

Since the binary number has the base 2, we go on dividing by 2 and get the remainder.

Therefore, the decimal number 35 (base 10) is equal to the binary number 100011 (base 2).

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Binary to decimal online converter

Decimal to binary online converter

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