Question

Scrieți numerele 27,46 și 75 din baza 10 in baza 2
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Dau coroana

Answer 1

Explicație pas cu pas:

$27_{10} = 16 + 8 + 2 + 1 =$

$= 1 \cdot 2^{4} + 1 \cdot 2^{3} + 0 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0}$

$= 11011_{2}$

$46_{10} = 32 + 8 + 4 + 2 =$

$= 1 \cdot 2^{5} + 0 \cdot 2^{4} + 1 \cdot 2^{3} + 1 \cdot 2^{2} + 1 \cdot 2^{1} + 0 \cdot 2^{0}$

$= 101110_{2}$

$75_{10} = 64 + 8 + 2 + 1$

$= 1 \cdot 2^{6} + 0 \cdot 2^{5} + 0 \cdot 2^{4} + 1 \cdot 2^{3} + 0 \cdot 2^{2} + 1 \cdot 2^{1} + 1 \cdot 2^{0}$

$= 1001011_{2}$

Answer 2

Răspuns:

27₍₁₀₎ = 11011₍₂₎

46₍₁₀₎ = 101110₍₂₎

75₍₁₀₎ = 1001011₍₂₎

Explicație pas cu pas:

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

=> 27₍₁₀₎ = 11011₍₂₎

-----------------------------

46:2 = 23 rest 0

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

=> 46₍₁₀₎ = 101110₍₂₎

----------------------------

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

75₍₁₀₎ = 1001011₍₂₎

Numerele in baza 2 se citesc de la resturi , de jos in sus.