Questão 1
Questão
A card is drawn from a pack of 52 cards. The probability of getting a king of heart is
Questão 2
Questão
A card is drawn from a pack of 52 cards. The probability of getting a queen or a king of heart is
Questão 3
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 001?
Questão 4
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combinat
Questão 5
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 000?
Questão 6
Questão
51. Code has dmin = 9. How many errors can be corrected by this code?
Questão 7
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 111?
Questão 8
Questão
52. Code has dmin = 9. How many errors can be detected by this code?
Questão 9
Questão
57. Determine the Hamming distance for code that can detect 3 errors and correct 2 errors.
Questão 10
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 011?
Questão 11
Questão
58. Determine the Hamming distance for code that can detect 3 errors and correct 1 errors.
Questão 12
Questão
A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 110?
Questão 13
Questão
59. Determine the Hamming distance for code that can detect 5 errors and correct 3 errors.
Questão 14
Questão
A fair coin is tossed four times, the probability of getting four heads is
Questão 15
Questão
A Huffman code is a = 1, b = 000, c = 001, d = 01. Probabilities are p(a) = 0.4, p(b) = 0.1, p(c) = 0.2, p(d) = 0.3. The average length of codewords q is
Responda
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2.1 bit
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1.9 bit
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2.0 bit
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8.0 bit
Questão 16
Questão
60. Encode a string "0000" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0000001
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0000111
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0000000
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0000101
Questão 17
Questão
An alphabet consist of the letters a, b, c and d. The probability of occurrence is \n p(a) = 0.4, p(b) = 0.1, p(c) = 0.2 and p(d) = 0.3. The Huffman code is
Responda
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a=0,b=111,c=11,d=101
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a=0,b=110,c=111,d=10
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a=0,b=11,c=10,d=111
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a=01,b=111,c=110,d=10
Questão 18
Questão
61. Encode a string "0001" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0001010
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0001001
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0001011
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0001111
Questão 19
Questão
Bag contain 10 black and 20 white balls, One ball is drawn at random. What is the probability that ball is white
Questão 20
Questão
62. Encode a string "0010" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0010010
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0010111
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0010110
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0010100
Questão 21
Questão
Calculate the code rate for Hamming (15,11) code
Questão 22
Questão
63. Encode a string "0011" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0011100
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0011001
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0011101
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0011111
Questão 23
Questão
64. Encode a string "0100" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0100011
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0100110
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0100111
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0100101
Questão 24
Questão
Calculate the code rate for Hamming (31,26) code
Questão 25
Questão
65. Encode a string "0101" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0101101
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0101000
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0101100
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0101110
Questão 26
Questão
Calculate the code rate for Hamming (7,4) code
Questão 27
Questão
Calculate the efficiency of the language if it has 32 letters and its I average is 1 bit.
Questão 28
Questão
66. Encode a string "0110" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0110101
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0110011
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0110001
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0110000
Questão 29
Questão
Calculate the redundancy of the language if it has 32 letters and its I average is 1 bit.
Questão 30
Questão
Code has dmin = 1. How many errors can be corrected by this code?
Questão 31
Questão
67. Encode a string "0111" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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0111110
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0111000
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0111010
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0111011
Questão 32
Questão
Code has dmin = 1. How many errors can be detected by this code?
Questão 33
Questão
68. Encode a string "1000" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1000111
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1000100
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1000101
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1000001
Questão 34
Questão
Code has dmin = 10. How many errors can be detected by this code?
Questão 35
Questão
Code has dmin = 11. How many errors can be corrected by this code?
Questão 36
Questão
69. Encode a string "1001" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1001111
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1001010
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1001110
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1001100
Questão 37
Questão
70. Encode a string "1010" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1010111
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1010001
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1010011
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1010010
Questão 38
Questão
71. Encode a string "1011" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1011100
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1011010
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1011000
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1011001
Questão 39
Questão
72. Encode a string "1100" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1100110
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1100000
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1100010
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1100011
Questão 40
Questão
73. Encode a string "1101" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1101101
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1101011
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1101001
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1101000
Questão 41
Questão
74. Encode a string "1110" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1110000
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1110101
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1110100
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1110110
Questão 42
Questão
75. Encode a string "1111" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Responda
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1111110
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1111011
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1111111
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1111101
Questão 43
Questão
76. Find the information amount of a symbol from the language with total number of symbols n = 18.
Responda
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I = log218
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I = log182
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I = 18 * log218
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I = 18 * log182
Questão 44
Questão
83. If a card is chosen from a pack of 52 cards, what is the probability of getting a five or a seven?
Questão 45
Questão
84. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
Questão 46
Questão
87. In a throw of dice what is the probability of getting number greater than 5.
Questão 47
Questão
96. Specify the error position in the string "0000110", if the initial string was encoded with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Questão 48
Questão
97. Specify the error position in the string "0001110", if the initial string was encoded with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Questão 49
Questão
98. Specify the error position in the string "0011001", if the initial string was encoded with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Questão 50
Questão
99. Specify the error position in the string "0101011", if the initial string was encoded with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
Questão 51
Questão
100. Specify the error position in the string "0101110", if the initial string was encoded with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1,