EC > GATE 2016 SET-2 > Information Theory
A binary communication system makes use of the symbols "zero" and "one". There are channel errors. Consider the following events:
x0: a "zero" is transmitted
x1: a "one" is transmitted
y0: a "zero" is received
y1: a "one" is received
The following probabilities are given: P(x0)=1/2, P(y0|x0)=3/4 and P(y0|x1)=1/2. The information in bits that you obtain when you learn which symbol has been received (while you know that a "zero" has been transmitted) is
x0: a "zero" is transmitted
x1: a "one" is transmitted
y0: a "zero" is received
y1: a "one" is received
The following probabilities are given: P(x0)=1/2, P(y0|x0)=3/4 and P(y0|x1)=1/2. The information in bits that you obtain when you learn which symbol has been received (while you know that a "zero" has been transmitted) is
Correct : 0.81
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