Question

Scrie in baza 10 numerele următoare
a) 101(2)
b) 1101011(2)
c) 11100(2)
d) 11011(2)
+90 puncte

Answer 1

Răspuns:

• (a)  101(₂) = 5(₁₀)
• (b)  1101011(₂) = 107(₁₀)
• (c)  11100(₂) = 28(₁₀)
• (d)  11011(₂) = 27(₁₀)

Explicație pas cu pas:

Salutare!

(a) 101(₂)

1 × 2² + 0 × 2¹ + 1 × 2⁰ =

(4 + 0 + 1)(₁₀) =

(4 + 1)(₁₀) =

5(₁₀)    ⇒ 101(₂) = 5(₁₀)

(b) 1101011(₂)

(1 × 2⁶ + 1 × 2⁵ + 0 × 2⁴ + 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰)(₁₀) =

(64 + 32 + 0 + 8 + 0 + 2 + 1)(₁₀) =

(64 + 32 + 8 + 2 + 1)(₁₀)=

107(₁₀)     ⇒  1101011(₂) = 107(₁₀)

(c) 11100(₂)

(1 × 2⁴ + 1 × 2³ + 1 × 2² + 0 × 2¹ + 0 × 2⁰)(₁₀) =

(16 + 8 + 4 + 0 + 0)(₁₀) =

(16 + 8 + 4)(₁₀)=

28(₁₀)      ⇒ 11100(₂) = 28(₁₀)

(d) 11011(₂)

(1 × 2⁴ + 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰)(₁₀) =

(16 + 8 + 0 + 2 + 1)(₁₀) =

(16 + 8 + 2 + 1)(₁₀) =

27(₁₀)     ⇒ 11011(₂) = 27(₁₀)

==pav38==