Bonjour voici un dm de mathématiques ! merci d'avance bonne journée et bon courage :))​

bonjour

1 )

a.

(101)₂ = 1*2⁰+0*2¹+1*2² = 1+4

(101)₂ = (5)₁₀

b.

(10011)₂ = 1*2⁰+1*2¹+0*2²+0*2³+1*2⁴ = 1+2+16

(10011)₂ = (19)₁₀

c.

(10100)₂ = 0*2⁰+0*2¹+1*2²+0*2³+1*2⁴ = 4+16

(10100)₂ = (20)₁₀

2.a

3 = 1*2⁰+1*2¹

3 = (11)₂

b.

9 = 1*2³+0*2²+0*2¹+1*2⁰

9 = (1001)₂

c.

25 = 1*2⁴+1*2³+0*2²+0*2¹+1*2⁰

25 = (11001)₂

d.

254 = 1*2⁸+1*2⁷+1*2⁶+1*2⁵+1*2⁴+1*2³+1*2²+1*2¹+0*2⁰

254 = (11111110)₂