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A card is drawn from a pack of 52 cards. The probability of getting a king of heart is
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A card is drawn from a pack of 52 cards. The probability of getting a queen or a king of heart is
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 001?
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combinat
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 000?
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51. Code has dmin = 9. How many errors can be corrected by this code?
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 111?
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52. Code has dmin = 9. How many errors can be detected by this code?
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57. Determine the Hamming distance for code that can detect 3 errors and correct 2 errors.
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 011?
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58. Determine the Hamming distance for code that can detect 3 errors and correct 1 errors.
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A code has two allowable combinations 101 and 010. What is the allowable combination for the error combination 110?
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59. Determine the Hamming distance for code that can detect 5 errors and correct 3 errors.
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A fair coin is tossed four times, the probability of getting four heads is
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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
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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
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60. Encode a string "0000" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0000001
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0000111
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0000000
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0000101
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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
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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
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61. Encode a string "0001" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0001010
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0001001
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0001011
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0001111
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Bag contain 10 black and 20 white balls, One ball is drawn at random. What is the probability that ball is white
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62. Encode a string "0010" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0010010
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0010111
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0010110
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0010100
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Calculate the code rate for Hamming (15,11) code
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63. Encode a string "0011" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0011100
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0011001
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0011101
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0011111
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64. Encode a string "0100" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0100011
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0100110
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0100111
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0100101
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Calculate the code rate for Hamming (31,26) code
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65. Encode a string "0101" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0101101
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0101000
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0101100
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0101110
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Calculate the code rate for Hamming (7,4) code
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Calculate the efficiency of the language if it has 32 letters and its I average is 1 bit.
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66. Encode a string "0110" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0110101
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0110011
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0110001
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0110000
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Calculate the redundancy of the language if it has 32 letters and its I average is 1 bit.
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Code has dmin = 1. How many errors can be corrected by this code?
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67. Encode a string "0111" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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0111110
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0111000
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0111010
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0111011
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Code has dmin = 1. How many errors can be detected by this code?
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68. Encode a string "1000" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1000111
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1000100
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1000101
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1000001
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Code has dmin = 10. How many errors can be detected by this code?
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Code has dmin = 11. How many errors can be corrected by this code?
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69. Encode a string "1001" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1001111
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1001010
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1001110
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1001100
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70. Encode a string "1010" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1010111
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1010001
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1010011
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1010010
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71. Encode a string "1011" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1011100
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1011010
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1011000
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1011001
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72. Encode a string "1100" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1100110
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1100000
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1100010
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1100011
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73. Encode a string "1101" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1101101
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1101011
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1101001
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1101000
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74. Encode a string "1110" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1110000
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1110101
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1110100
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1110110
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75. Encode a string "1111" with Hamming (7,4) code using the following structure (i1, i2, i3, i4, r1, r2, r3)
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1111110
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1111011
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1111111
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1111101
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76. Find the information amount of a symbol from the language with total number of symbols n = 18.
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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
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83. If a card is chosen from a pack of 52 cards, what is the probability of getting a five or a seven?
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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?
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87. In a throw of dice what is the probability of getting number greater than 5.
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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)
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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)
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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)
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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)
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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,