Question

4 Scrieți următoarele numere în baza 2: a 22; c 33; e 51; g 25; b 39; f 47: d 41; h 75. cu rsp va rog repede urgent​

Answer 1

Explicație pas cu pas:

a)

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

$\implies \bf 22_{10} = 10110_{2}$

b)

39:2 = 19 rest 1

19:2 = 9 rest 1

9:2 = 4 rest 1

4:2 = 2 rest 0

2:2 = 1 rest 0

1:2 = 0 rest 1

$\implies \bf 39_{10} = 100111_{2}$

c)

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

$\implies \bf 33_{10} = 100001_{2}$

d)

41:2 = 20 rest 1

20:2 = 10 rest 0

10:2 = 5 rest 0

5:2 = 2 rest 1

2:2 = 1 rest 0

1:2 = 0 rest 1

$\implies \bf 41_{10} = 101001_{2}$

e)

51:2 = 25 rest 1

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

$\implies \bf 51_{10} = 110011_{2}$

f)

47:2 = 23 rest 1

23:2 = 11 rest 1

11:2 = 5 rest 1

5:2 = 2 rest 1

2:2 = 1 rest 0

1:2 = 0 rest 1

$\implies \bf 47_{10} = 101111_{2}$

g)

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

$\implies \bf 25_{10} = 11001_{2}$

h)

75:2 = 37 rest 1

37:2 = 18 rest 1

18:2 = 9 rest 0

9:2 = 4 rest 1

4:2 = 2 rest 0

2:2 = 1 rest 0

1:2 = 0 rest 1

$\implies \bf 75_{10} = 1001011_{2}$