Question

Probleme propuse Transformați numerele 25, 44, 70, 125 şi 250. din baza 10 în baza 2.
Va rog ajutatima dau coroana zi 50p și tot ce vreti​

Answer 1

Răspuns:

25 : 2 = 12 + 1

12 : 2 = 6 + 0

6 : 2 = 3 + 0

3 : 2 = 1 + 1

1 : 2 = 0 + 1

25₍₁₀₎= 11001₍₂₎

44 : 2 = 22 + 0

22 : 2 = 11 + 0

11 : 2 = 5 + 1

5 : 2 = 2 + 1

2 : 2 = 1 + 0

1 : 2 = 0 + 1

44₍₁₀₎ = 101100₍₂₎

70 : 2 = 35 + 0

35 : 2 = 17 + 1

17 : 2 = 8 + 1

8 : 2 = 4 + 0

4 : 2 = 2 + 0

2 : 2 = 1 + 0

1 : 2 = 0 + 1

70₍₁₀₎ = 1000110₍₂₎

125 : 2 = 62 + 1

62 : 2 = 31 + 0

31 : 2 = 15 + 1

15 : 2 = 7 + 1

7 : 2 = 3 + 1

3 : 2 = 1 + 1

1 : 2 = 0 + 1

125₍₁₀₎ = 1111101₍₂₎

250 : 2 = 125 + 0

125 : 2 = 62 + 1

62 : 2 = 31 + 0

31 : 2 = 15 + 1

15 : 2 = 7 + 1

7 : 2 = 3 + 1

3 : 2 = 1 + 1

1 : 2 = 0 + 1

250₍₁₀₎ = 11111010₍₂₎

Answer 2

Explicație pas cu pas:

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

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

44:2 = 22 rest 0

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

$\implies \bf 44_{10} = 101100_{2}$

70:2 = 35 rest 0

35:2 = 17 rest 1

17:2=8 rest 1

8:2=4 rest 0

4:2=2 rest 0

2:2=1 rest 0

1:2=0 rest 1

$\implies \bf 70_{10} = 1000110_{2}$

125:2 = 62 rest 1

62:2 = 31 rest 0

31:2 = 15 rest 1

15:2 = 7 rest 1

7:2 = 3 rest 1

3:2 = 1 rest 1

1:2 = 0 rest 1

$\implies \bf 125_{10} = 1111101_{2}$

250:2 = 125 rest 0

125:2 = 62 rest 1

62:2 = 31 rest 0

31:2 = 15 rest 1

15:2 = 7 rest 1

7:2 = 3 rest 1

3:2 = 1 rest 1

1:2 = 0 rest 1

$\implies \bf 250_{10} = 11111010_{2}$