Question

Scrieti urmatoarele numere naturale in baza 2 a) 22 b)39 c)33 d)51 e)47 f)25

Answer 1

Răspuns:

Explicație pas cu pas:

a) 22₍₁₀₎ = ?

22:2 = 11 rest 0

11:2 = 5 rest 1

5:2 = 2 rest1

2:2 = 1 rest 0

1:2 = 0 rest 1

22₍₁₀₎ = 10110₍₂₎

b) 39₍₁₀₎ = ?

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

39₍₁₀₎ = 100111₍₂₎

c) 33₍₁₀₎ = ?

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

33₍₁₀₎ = 100001₍₂₎

d) 51₍₁₀₎ = ?

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

51₍₁₀₎ = 110011₍₂₎

e) 47₍₁₀₎ = ?

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

47₍₁₀₎ = 101111₍₂₎

f) 25₍₁₀₎ = ?

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

25₍₁₀₎ = 11001₍₂₎