(3) A discrete noiseless channel communicates binary digits at a rate R of 20 binary digits per second. Which statement about the channel capacity C is true? Page 1 of 4

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(3) A discrete noiseless channel communicates binary digits at a rate R of 20 binary digits
per second. Which statement about the channel capacity C is true?
(1) C < R
(2) C> R
Page 1 of 4
Codeword
21=0000
*2=0001
= 0010
Symbol
81=1
82 = 2
83 = 3
84
85=5
24 = 0011
25 = 0100
866
26= 0101
87 = 7
27 = 0110
88 = 8
28 = 0111
89 = 9
29 = 1000
$10 10
10 = 1001
Table 1: Encoding for the fair 10-sided die.
x3 =
(3) C is 20 bits of information per second.
(4) C is 20 symbols per second.
Transcribed Image Text:(3) A discrete noiseless channel communicates binary digits at a rate R of 20 binary digits per second. Which statement about the channel capacity C is true? (1) C < R (2) C> R Page 1 of 4 Codeword 21=0000 *2=0001 = 0010 Symbol 81=1 82 = 2 83 = 3 84 85=5 24 = 0011 25 = 0100 866 26= 0101 87 = 7 27 = 0110 88 = 8 28 = 0111 89 = 9 29 = 1000 $10 10 10 = 1001 Table 1: Encoding for the fair 10-sided die. x3 = (3) C is 20 bits of information per second. (4) C is 20 symbols per second.
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