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Question description

Another approach to deskewing is to consider the bit stream as a sequence of

non-overlapping groups of n bits each and output the parity of each group.That is,

if a group contains an odd number of ones, the output is 1; otherwise the output

is 0.

a. Express this operation in terms of a basic Boolean function.

THE ANSWER IS the input bits s1,s2, ....,sn and the output bits o as o = s1 + s2, .... sn 

b. Assume  that the probability of a 1 is 0.5 δ. If each group consists of 2 bits, what is the probability of an output of 1?

THE ANSWER IS 0.5- 2δ^2

c. If each group consists of 4 bits, what is the probability of an output of 1? THE ANSWER IS 0.5- 8δ^4

d. Generalize the result to find the probability of an output of 1 for input groups of

n bits. The limit as n goes to infinity is 0.5

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(Top Tutor) Daniel C.
School: UC Berkeley
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