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A source A = {w, x, y, z} has probabilities { 0.15, 0.1, 0.7, 0.05} respectively. Generate and decipher the tag for the sequence [x, y, z, w, z] using arithmetic code.
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Letter Probability CDF
w 0.15 0.15
x 0.1 0.25
y 0.7 0.95
z 0.05 1

Range:   w (0, 0.15)         x (0.15, 0.25)

              y (0.25, 0.95)       z (0.95, 1)

Formulae: $l_n = l_{n-1} + ( U_{n-1} – l_{n-1} ) F_n-1 (x)$

                  $U_n= l_{n-1} + ( U_{n-1} – l_{n-1} ) F_n (x)$ …

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