Suppose that you pick a bit string from the set of all bit strings of length ten. What is the probability that the bit string has more 0s than 1s?
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A: Answer: The probability that the bit string has more 0s than 1s is:
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Suppose that you pick a bit string from the set of all bit strings of length ten. What is the probability that the bit string has more 0s than 1s?
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- We consider certain strings of length 6 over the alphabet S = {A,B,C}. We require that the string contains exactly two As, and exactly two B's, and exactly two C's. How many such strings are there? That is, how many strings of length 6 over the alphabet {A,B,C} contains exactly two A's, two B's and two C's?Let A be the set of all strings of decimal digits of length 5. For example 00312 and 19483 are two strings in A . You pick a string from A at random. What is the probability that the string has no 4 in it?Suppose that ?A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of ?⊕?A⊕B is 1?
- Let A be the set of all strings of decimal digits of length 5. For example 24157 and05189 are strings in A.(a) How many strings in A have exactly one 7?(b) How many strings in A have at least two 2’s?(c) How many strings in A have the digits in a strictly decreasing order? For example97643 and 54321 are such strings, but 14820 and 95421 are not.How many 99-bit strings (that is, bit strings of length 9) are there which Have weight 7 and either start with 101 or end with 11 (or both)?Choose the correct answer from the number of the set S={x | x is the square of an integer x<100} is:a) {0,2,4,5,958,49,56,99,12}b) {0,1,4,9,16,25,36,49,64,81}c) {0,1,4,9,16,25,36,49,64,121}
- How many 14-bit strings (that is, bit strings of length 14) are there with: (a) start with sub-string 011? (b) have weight 7 (i.e., contain exactly 7 1’s) and start with the sub-string 011? (c) either start with 011 or end with 01 (or both)? (d) have weight 7 and either start with 011 or end with 01 (or both)?What is the Huffman code for a string whose characters are all from a twocharacter alphabet? Give an example showing the maximum number of bits that couldbe used in a Huffman code for an N-character string whose characters are all from atwo-character alphabet.how many 11 - strings (that is, bit strings of length 11) are there which: a. start with sub - string 011 b. have weight 8 (i.e contain exactly 8 1's ) and start with the sub - string 011 c. either start with 011 or end with 01 (or both) d. have weight 8 and either start with 011 or end with 01 (or both)
- If a is a symbol and n > 0, then an denotes a···a, or in words, the string of length n consisting of only a’s. Now consider the coding with two code words 0n and 1n, for some natural number n > 0. Show that this coding is perfect if and only if n is odd.Let L={ w in(0 + 1)* 1 | w has even number of 1s}, i.e. L is the set of all bit strings with even number of 1s. Which one of the regular expression below represents L? (A) (0* 10* 1)* (B) 0* (10* 10* )* (C) 0* (10* 1* )* 0* (D) 0* 1(10* 1)* 10*Consider the code C={00010, 01100,01011,11010,01010}. What is the minimum distance of C? For what k is the code C k-error detecting? Write the set of error patterns that C can detect?