Question

Scrie în baza 10 nr: a) 1111 (2) b) 10001 (2) c) 101011 (2) d) 11111101(2)

Answer 1

1111(2) = 1×2^3 + 1×2^2 + 1×2^1 + 1 × 2^0 =

= 8 + 4 + 2 + 1 =

= 15


10001(2) = 1×2^4 + 1×2^0 = 16 + 1 = 17


101011 = 1 × 2^5 + 1×2^3 + 1 × 2^1 + 1 × 2^0=

= 32 + 8 + 2 + 1 =

= 43


11111101(2) = 1 × 2^7 + 1 × 2^6 + 1 × 2^5 + 1 × 2^4 + 1 × 2^3 + 1 × 2^2 + 1 × 2^0 =

= 128 + 64 + 32 + 16 + 8 + 4 + 1 =

= 253

Answer 2

a)

1111 = 1·2³ + 1·2² + 1·2¹ + 1·2⁰ = 8 + 4 + 2 + 1 = 15

b)

10001 = 1·2⁴ + 0·2³ + 0·2² + 0·2¹ + 1·2⁰ = 16 + 0 + 0 + 0 + 1 = 17

c)

101011 = 1·2⁵ + 0·2⁴ + 1·2³ + 0·2² + 1·2¹ + 1·2⁰ = 32 + 0 + 8 + 0 + 2 + 1 = 43

d)

11111101 = 1·2⁷ + 1·2⁶ + 1·2⁵ + 1·2⁴ + 1·2³ + 1·2² + 0·2¹ + 1·2⁰

= 128 + 64 + 32 + 16 + 8 + 4 + 0 + 1

= 253