The Binary Numbering System is a specific counting sequence for the various combinations of bits to follow from a low to a high count. This numbering system is similar to the normal decimal system we use everyday, but in place of having ten symbols per digit (0 to 9), there are only two, a 0 and a 1.
When we count in decimal we start at 0 and then 1, 2, 3, 4, up to 9, when we get to 9 we have reached the end of the available symbols. If count another count we carry a 1 over to represent a 10 and start at 0 again. The counting sequence is: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and the tenth count are 10.
When we count in binary we start at 0 and then 1 and then we have run out of symbols and we need to carry a 1 over to represent a 2 and start at 0 again. The counting sequence is: 0, 1 and then the second count are 10.
If we have a 8 bit binary number the bits will represent the following values where the least significant bit is on the right.
Binary 
1 
1 
1 
1 
1 
1 
1 
1 
Bit no: 
8 
7 
6 
5 
4 
3 
2 
1 
Value: 
128 
64 
32 
16 
8 
4 
2 
1 
Binary Bit Values
Decimal 
Binary 

Decimal 
Binary 
00 
0000 
08 
1000 

01 
0001 
09 
1001 

02 
0010 
10 
1010 

03 
0011 
11 
1011 

04 
0100 
12 
1100 

05 
0101 
13 
1101 

06 
0110 
14 
1110 

07 
0111 
15 
1111 
Decimal and Binary values