Question

3. scrie numerele urmatoare in baza 2: a) 10, b) 15, c) 45, d) 132, e) 200.

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Answer 1

a) 10 = 1010

10:2=5 rest 0

5:2=2 rest 1

2:2=1 rest 0

1:2=0 rest 1

b) 15 = 1111

15:2=7 rest 1

7:2= 3 rest 1

3:2=1 rest 1

1:2=0 rest 1

c) 45= 101101

45:2=22 rest 1

22:2=11 rest 0

11:2=5 rest 1

5:2=2 rest 1

2:2=1 rest 0

1:2=0 rest 1

d) 132 = 10000100

132:2=66 rest 0

66:2=33 rest 0

33:2=16 rest 1

16:2=8 rest 0

8:2=4 rest 0

4:2=2 rest 0

2:2=1 rest 0

1:2=0 rest 1

e) 200= 11001000

200:2=100 rest 0

100:2=50 rest 0

50:2=25 rest 0

25:2=12 rest 1

12:2=6 rest 0

6:2=3 rest 0

3:2=1 rest 1

1:2=0 rest 1