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- Suppose E = {a, b, c, d, e, f, g}. Find:(a) the representation of {d, f, a, g} as a bit string(b) the set represented by the bit string 0111011Consider the universal set U representing days of the week as {Su, Mo, Tu, Wed, Th, Fri, Sat}. a. Find the repcesentation of (Sat, Wed, Tu, Su, Fri) as a bit string b. If A is represented by the bit string 1110100 and B is represented by the bit string 1000101, write the sets BNA and B bit strings.5. Prove that in a bit string, the string 10 occurs at most one more time than the string 01.
- Let a “binary code” be the set of all binary words, each consisting of 6 bits (i.e., 0 or 1 digits). For example, 001101 is a word in this code.9. Let the bit representations of sets A and B as following A= 1010101010 B 0000011111 find (A U B) – A O 1010100000 0000001010 1010111111 (000010101Consider the hex strings A-0x3da640ac7744ab91 and B=0xla2el12ab30533de. a) What is A e B in hexadecimal? Please give your answer a leading Ox and use lowercase letters only. hexadecimal: b) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probablity that the second binary digit of A is 12 c) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of A e B is 17
- 10. a) Draw a DFA of strings that have 1 as every 3rd symbol. [= {0,1} Or, b) The set of binary numbers has 0's in all even positions. Σ= {0,1}.0. Good binary strings are strings made of Os and 1s where there are no two consecutive Os. For example, 1011011101, 011010 etc. How many good binary strings of length k are there? [Hint: First you may try to find the highest possible number of Os in such strings in terms of k . It can be done separately for odd and even k. Use the Floor function to generalize. Giving the final answer in summation (E) form will suffice.]Transcribed Image Text As the Halloween evening is approaching you and your friend decided to decorate the house in such a way that there is N snow globes in a row, numbered 1 through N from left to right. Each globe can be in two colours "blue" or "white". Initially, all the globe are "blue". You decided to reach a state described by a given a binary string S with length N for each valid i, if the ith character of S is '1', the jth globe should be "white", and if it is '0', the ith bulb should be "blue". Develop a C++ code to find the minimum number of globes to be in the "blue" state Input Output 53 10110
- True or false: A dataword (k) and a codeword (n) vary in that the k=n+FCS (Frame Check Sequence).Computer Science A two digital number a ∗ 10 + b can form a link to the number a ∗ b. Note that there is not connection between any pair of one digital number. Find all the numbers, [0, 99], reachable from 0?Write the symbol used in the following language of mathematics: 1. The complement of the complement of A 2. The set of rational numbers 3. The Cartesian product of B and C 4. 3 is an integer 5. The value of y ranges from -4 to 5 6. The square of a number is positive 7. J belongs to both sets A and B 8. Point A's distance from D is equal to point B's distance from D