2016.1.26 binary Conversion

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