How the annualized weekly inflation rate is calculated? What is the base index for such calculations?

How the annualized weekly inflation rate is calculated?

ASSUME THE INFLATION RATE IS 4%.
The effective rate weekly is as follows:-

1 1.000000 1.000769
2 1.000769 1.001539
3 1.001539 1.002309
4 1.002309 1.003080
5 1.003080 1.003851
6 1.003851 1.004623
7 1.004623 1.005395
8 1.005395 1.006169
9 1.006169 1.006942
10 1.006942 1.007717
11 1.007717 1.008492
12 1.008492 1.009267
13 1.009267 1.010043
14 1.010043 1.010820
15 1.010820 1.011597
16 1.011597 1.012375
17 1.012375 1.013154
18 1.013154 1.013933
19 1.013933 1.014713
20 1.014713 1.015493
21 1.015493 1.016274
22 1.016274 1.017055
23 1.017055 1.017837
24 1.017837 1.018620
25 1.018620 1.019403
26 1.019403 1.020187
27 1.020187 1.020972
28 1.020972 1.021757
29 1.021757 1.022543
30 1.022543 1.023329
31 1.023329 1.024116
32 1.024116 1.024904
33 1.024904 1.025692
34 1.025692 1.026480
35 1.026480 1.027270
36 1.027270 1.028060
37 1.028060 1.028850
38 1.028850 1.029642
39 1.029642 1.030433
40 1.030433 1.031226
41 1.031226 1.032019
42 1.032019 1.032812
43 1.032812 1.033607
44 1.033607 1.034401
45 1.034401 1.035197
46 1.035197 1.035993
47 1.035993 1.036790
48 1.036790 1.037587
49 1.037587 1.038385
50 1.038385 1.039183
51 1.039183 1.039983
52 1.039983 1.040782

4% PER ANNUM is equivalent effective 4.0782% weekly.
Weekly.
Study the example, you can convert any rate
You choose.