Binary number system

binary number system

• Binary numbers 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,