2016. 1. 26
Binary
1: Binary to 8 binary (3-bit for a group)
(11001111.01111) 2 = (11 001 111.011 110) 2 = (317.36) 8
1*21+1*20=3 1*20=1 1*22+1*21+1*20=7 1*21+1*20=3 1*22+1*21=6
2: Binary Turn 10 binary
(10110) 2 = (22) 10
1*24+1*22+1*21=22
3: Binary to 16 binary (4-bit for a group)
(11010110) 2= (D6) 16
1101=1*23+1*22+1*20=13=d
0110=1*22+1*21=6
8 binary
1:8-In-turn 2-in system
(17.36) 8 = (001 111.011 110) 2 = (1111.01111) 2
1/2=0 ... 1
7/2=3 ... 1
3/2=1 ... 1
1/2=0 ... 1
001 111
3/2=1 ... 1
1/2=0 ... 1
6/2=3 ... 0
3/2=1 ... 1
1/2=0 ... 1
011 110
2:8-in-turn 10-in system
128=1*81+2*80=10
3:8-in-turn 16-in system
The octal is first converted to binary, and then the binary is converted into hexadecimal.
(712) 8 = (111 001 0) 2 = (1CA) 16
10 binary
1:10 in-Turn 2-system
1310 = (1101) 2
13/2=6 ... 1
6/2=3 ... 0
3/2=1 ... 1
1/2=0 ... 1
(1101)
2:10 in-turn 8-system
(115) 10 = (163) 8
115/8=14 ... 3
14/8=1 .... 6
1/8=0 ... 1
163
3:10 in-turn 16-system
13810= (8A) 16
138/16=8 ... 10=a
8/16=0 ... 8
8A
16 binary
1:16 in-Turn 2-system
(41) 16 = (01000001) 2
4/2=2 ... 0
2/2=1 ... 0
1/2=0 ... 1
100
1/2=0 ... 1
0100 0001
2:16 in-turn 8-system
(1CA) 16 = (111001010) 2 = (712) 8
12/2=6 ... 0
6/2=3 ... 0
3/2=1 ... 1
1/2=0 ... 1
1100
10/2=5 ... 0
5/2=2 ... 1
2/2=1 ... 0
1/2=0 ... 1
1010
1*22+1*21+1*20=7
1*21=2
712
3:16 in-turn 10-system
(41) 16=6510
4*161+1*160=65
2016.1.26 binary Conversion