Binary Number System

Binary Number System: A binary or base 2 number systems having 2 symbols 0 and 1s.

The number system is as like 0, 1, 10, 11, 100, 101, 110, 111, 1000 etc. By adding 1 to last number i.e. 1 + 1 = 10, again 10 is a combination of existing 0 and 1 digit only.

Each binary digit represents a power of 2. This digit is often called bits. This number system contains binary point, the digits to the right of the binary point represents fractions used for numbers less than one. The numbers and their positions are as follows.

                        1   0   1  1   0   .  1   1

            2⁴ 2³ 2²  2¹  2⁰    2^-1 2^-2
 

A 4- bit binary word is called nibble, and an 8-bit binary word is called byte. A 16-bit binary word is often referred to just as a word and a 32- bit binary word is called as a doubleword. The right most bit of a binary word is usually referred to as the LSB Least significant bit. The left most bit of a binary word is usually referred to as the MSB Most significant bit.

For conversion you can see the Conversion from Decimal to Binary post and Binary to Decimal.

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