Semaine 5 : Série d`exercices sur la représentation de l`information

= = 7
210 8×210 2(3+10) = 213
230 1098×230
2(3+30) = 233
2n
log2(K) = log2(2n) = nlog2(2) = n
2+2−1= 2.5
1+2−2= 1.25
2−1+ 2−3= 0.5+0.125 = 0.625

N∈N
N
i←− 0
N6= 0
bi←− Nmodulo2
N←− N/2
i←− i+ 1
N2
2 0 N1N
b020
N2b3b2b1
0b1N0
X0.bwbxbybz
X X =bw×2−1+bx×2−2+by×2−3+bz×2−4
2×X=bw×20+bx×2−1+by×2−2+bz×2−3
bw×20bw
bx×2−1+by×2−2+bz×2−3
X
2×X0.750
bw
2×0.750
bx
2×0.5
by
bz

12710
−12810

8 16
110001011
1100101011111110
27182128B916 8A16
22= 4
23= 8
2exposant ×1
20×1,0
23×1,875 = 8 ×1,875 = 15
= 2−3= 0.125
12.5%