Question

5 Scrieți următoarele numere în baza 3: a 43; b 28; C c 55; d 67.​

Answer 1

Răspuns:

Explicație pas cu pas:

43 : 3 = 14 rest 1

14 : 3 = 4 rest 2

4 : 3 = 1 rest 1

1 : 3 = 0 rest 1

43₍₁₀₎ = 1121₍₃₎

1·3³+1·3²+2·3¹+1·3⁰ = 27+9+6+1 = 43

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28 : 3 = 9 rest 1

9 : 3 = 3 rest 0

3 : 3 = 1 rest 0

1 : 3 = 0 rest 1

28₍₁₀₎ = 1001₍₃₎

1·3³+0·3²+0·3¹+1·3⁰ = 27+0+0+1 = 28

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55 : 3 = 18 rest 1

18 : 3 = 6 rest 0

6 : 3 = 2 rest 0

2 : 3 = 0 rest 2

55₍₁₀₎ = 2001₍₃₎

2·3³+0·3²+0·3¹+1·3⁰ = 54+0+0+1 = 55

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67 : 3 = 22 rest 1

22 : 3 = 7 rest 1

7 : 3 = 2 rest 1

2 : 3 = 0 rest 2

67₍₁₀₎ = 2111₍₃₎

2·3³+1·3²+1·3¹+1·3⁰ = 54+9+3+1 = 67