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Alexboss644938
a fost răspuns

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

Scrieti Urmatoarele Numere Naturale In Baza 10 A 1012b 11012c 101102 class=

Răspuns :

Vitasea77

Răspuns:

101(2) =

[tex]1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} = 5(10)[/tex]

[tex]1101 = 1 \times {2}^{3} + 1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} = 13(10)[/tex]

[tex]10110 = 1 \times {2}^{4} + 0 + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 = 22(10) [/tex]

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)

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