Binary Numbers are the flow of information in the form of zeros and ones used by digital computers and systems.

A binary number is a number expressed in the base-2 numeral system , which uses only two symbols:  0 and 1 . A Binary system has only two states, Logic ‘0’ and Logic ‘1’ giving a base of 2. A Binary number is a weighted number who’s weighted value increases from right to left.The weight of a binary digit doubles from right to left. So instead of powers of ten, ( 10n ) for example: 1, 10, 100, 1000 etc, binary numbers use powers of two, ( 2n ) doubling the value of each successive bit , for example: 1, 2, 4, 8, 16, 32 ,64 etc.

A Decimal system uses 10 digits, 0 to 9 giving it a base of 10. In the decimal, each integer number column has values of units, tens, hundreds, thousands, etc as we move along the number from right to left.

A bit is the smallest unit of data in a computer. A bit has a single binary value, either 0 or 1. A BIT is the abbreviated term derived from Binary Digit.

17th Century Mathematician, Gottfried Wilhelm Leibniz, invented a binary numeral system and showed that it could be used in a primitive calculating machine.

Representation of a Binary Number

For Example Converting a Binary number 11111110 to Decimal number would be:

Adding all the decimal number values from right to left at the positions that are represented by a “1” gives us:  (128)+(64)+(32)+(16) +(8)+(4)+(2) = 254 or two hundred and fifty four as a decimal number.

We can convert binary to decimal by finding the decimal equivalent of the binary array of digits 11111110

For Decimal Number to Binary Number Conversion

Also Read:

How to Convert Decimal Number into Binary Number

Hexadecimal numbers and their conversions

Credit: Delhi Parents Association