Question

Scrieți următoarele numere în baza 2: c 45; b 38; a 27; d 57; e 61; f 72; a o sumă de puteri cu baza 2. & 85; h 97.​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

27 : 2 = 13 rest 1

13 : 2 = 6 rest 1      ↑

6 : 2 = 3 rest 0       ↑

3 : 2 = 1 rest 1         ↑

1 : 2 = 0 rest 1         ↑

27₁₀ = 11011₂

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b)

38 : 2 = 19 rest 0

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

38₁₀ = 100110₂

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c)

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

45₁₀ = 101101₂

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d)

57 : 2 = 28 rest 1

28 : 2 = 14 rest 0

14 : 2 = 7 rest 0

7 : 2 = 3 rest 1

3 : 2 = 1 rest 1

1 : 2 = 0 rest 1

57₁₀ = 111001₂

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e)

61 : 2 = 30 rest 1

30 : 2 = 15 rest 0

15 : 2 = 7 rest 1

7 : 2 = 3 rest 1

3 : 2 = 1 rest 1

1 : 2 = 0 rest 1

61₁₀ = 111101₂

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f)

72 : 2 = 36 rest 0

36 : 2 = 18 rest 0

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

72₁₀ = 1001000₂

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• ca o sumă de puteri cu baza 2

85 = 64 + 16 + 4 + 1

85 = 2⁶ + 2⁴ + 2² + 2⁰  

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97 = 64 + 32 + 1 = 2⁶ + 2⁵ + 2⁰