Question

Scrieti urmatoarele numere naturale in baza 10 :
a) 101(2)
b) 1101(2)
c) 10110(2)​

Answer 1

Răspuns:

101(2) =

$1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} = 5(10)$

$1101 = 1 \times {2}^{3} + 1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} = 13(10)$

$10110 = 1 \times {2}^{4} + 0 + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 = 22(10)$

Answer 2

101(₂) =

= (1 × 2² + 0 × 2¹ + 1 × 2⁰)

= (4 + 0 + 1)

= (4 + 1)

= 5(₁₀)

1101(₂) =

= (1 × 2³ + 1 × 2² + 0 × 2¹ + 1 × 2⁰)

= (8 + 4 + 0 + 1)

= (8 + 4 + 1)

= 13(₁₀)

1 0110(₂) =

(1 × 2⁴ + 0 × 2³ + 1 × 2² + 1 × 2¹ + 0 × 2⁰)

= (16 + 0 + 4 + 2 + 0)

= (16 + 4 + 2)

= 22(₁₀)