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Real-World Applicationshard
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A binary symmetric communication channel has a bit error probability of p=0.125p = 0.125p=0.125. The channel capacity CCC is defined as C=1−H(p)C = 1 - H(p)C=1−H(p), where H(p)=−plog2(p)−(1−p)log2(1−p)H(p) = -p \\log_2(p) - (1-p) \\log_2(1-p)H(p)=−plog2​(p)−(1−p)log2​(1−p) is the binary entropy function. What is the capacity of this channel in bits per channel use?