Rabu, 26 September 2012

Number systems and coding

1. Binary to Decimal

1-Bit 
1 = 1
0 = 0

2-Bit
0 0 = 0
0 1 = 1
1 0 = 2
1 1 = 3

3-Bit
0 0 0 = 0
0 0 1 = 1
0 1 0 = 2
0 1 1 = 3
1 0 0 = 4
1 0 1 = 5
1 1 0 = 6
1 1 1 = 7

4-Bit
0 0 0 0 = 0
0 0 0 1 = 1
0 0 1 0 = 2
0 0 1 1 = 3
0 1 0 0 = 4
0 1 0 1 = 5
0 1 1 0 = 6
0 1 1 1 = 7
1 0 0 0 = 8
1 0 0 1 = 9
1 0 1 0 = 10
1 0 1 1 = 11
1 1 0 0 = 12
1 1 0 1 = 13
1 1 1 0 = 14
1 1 1 1 = 15

Exercise
1) 1 0 1 1 1 0 1 1 0 1 = 749
2) 1 0 0 1 0 1 1 0 0 0 = 600
3) 0 0 1 0 1 1 1 0 0 0 = 184
4) 0 1 1 0 0 1 0 0 1 0 = 402
5) 1 0 0 1 1 1 0 0 0 1 = 625
6) 1 0 0 1 1 1 0 0 1 1 = 627
7) 0 1 0 0 1 0 1 0 1 0 = 298
8) 1 0 0 1 1 1 0 0 0 1 = 625
9) 1 0 1 0 1 0 1 0 0 1 = 681
10) 0 1 1 0 0 1 1 0 0 1 = 409