bonjour
formule saisie = (B1)²
2. écritures binaires de 20 et 37
20 = 2 x 10 + 0
10 = 2 x 5 + 0
5 = 2 x 2 + 1
2 = 2 x 1 + 0
1 = 0 x 1 + 1
(20) ₁₀ = ( 1 0 100 ) ₂
37 = 2 x 13 + 1
13 = 2 x 6 + 1
6 = 2 x + 3 = 0
3 = 2 x 1 + 1
1 = 1 x 0 + 1
( 37 ) ₁₀ = ( 11011) ₂
( 100 111 ) ₂
1 x 2 ⁵ + 0 x 2 ⁴ + 0 x 2 ³ + 1 x 2 ² + 1 x 2 ¹ + 1 x 2 ⁰
= 32 + 0 + 0 + 4 + 2 + 1
= 38
( 100 111) ₂ = ( 38 ) ₁₀
(1 000 100 ) ₂
1 x 2 ⁶ + 0 x 2 ⁵ + 0 x 2 ⁴ + 0 x 2 ³ + 1 x 2 ² + 0 x 2 ¹ + 0 x 2 ⁰
= 64 + 0 + 0 + 0 + 4 + 0 + 0
= 68
( 1 000 100) ₂ = ( 68) ₁₀
( 1 000 101 ) ₂
1 x 2 ⁶ + 0 x 2 ⁵ + 0 x 2 ⁴ + 0 x 2 ³ + 1 x 2² + 0 x 2 ¹ + 1 x 2 ⁰
= 64 + 0 + 0 + 0 + 4 + 0 + 1
= 69
( 1000 101 ) ₂ = ( 69 ) ₁₀
