# Binary number system

• The number system with base 2 is known as binary number system.
• Two symbols/digit are used in it 0 and 1, which we called bits.
• Binary number system is positional number system, i.e. every position in a number has assigned some weight.
• Group of four bits is known as nibble and group of 8 bits is  known as byte.

Binary numbers are shown below,

2-bit binary number representation :

 binary numbers decimal equivalent 0 0 0 0 0 1 0 1 1 0 0 2 1 1 0 3

3- bit binary number representation

 binary numbers decimal equivalent 0 0 0 0  0 0 0 1 0 1 0 1 0 0 2 0 1 1 0 3 1 0 0 0 4 1 0 1 0 5 1 1 0 0 6 1 1 1 0 7

4-bit binary number representation

 binary numbers decimal equivalent 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 2 0 0 1 1 0 3 0 1 0 0 0 4 0 1 0 1 0 5 0 1 1 0 0 6 0 1 1 1 0 7 1 0 0 0 0 8 1 0 0 1 0 9 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 2 1 1 0 1 1 3 1 1 1 0 1 4 1 1 1 1 1 5
• Left most bit is known as Most Significant Bit (MSB) and right most is Least significant bit(LSB).
for example: 1010

here ,
• In any number, zero can be added to left most side of the number ,which does not effects it value.
for example,In floating point,

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