Numbers are
represent using just 0 and 1
For computer
because it work with voltage level
1- On / connected / signal
0- Off/ disconnected/ no signal
0- 0000
1- 001
2- 010
3- 011
4- 100
5- 101
6- 110
7- 111
8- 1000
9- 1001
Representing binary systems
8
|
4
|
2
|
1
|
||
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
1
|
2
|
2
|
0
|
0
|
1
|
0
|
2+1
|
3
|
0
|
0
|
1
|
1
|
4
|
4
|
0
|
1
|
0
|
0
|
4+1
|
5
|
0
|
1
|
0
|
1
|
4+2
|
6
|
0
|
1
|
1
|
0
|
4+2+1
|
7
|
0
|
1
|
1
|
1
|
8
|
8
|
1
|
0
|
0
|
0
|
8+1
|
9
|
1
|
0
|
0
|
1
|
Decimal to binary: divide 2
112/2 = 0
56/2 = 0
28/2 = 0
14/2 = 0
7/2 = 1
3/2 = 1
½ = 1
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
112
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
64+32+16=112
Binary to decimal: 1101001
6
|
5
|
4
|
3
|
2
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
1x2⁶ + 1 x
2⁵ + 0 x 2⁴ + 1 x 2³ + 0 x 2² + 0 x 2¹+ 1 x 2⁰
=
64+32+0+8+0+0+1
= 105
64
|
32
|
16
|
8
|
4
|
2
|
1
|
|
105
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
64+32+8+1=105
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