Consider the hex strings A=0x274dce4716a5705c and B=0x98d54fc92cd0eed0. a) What is A O 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 probability that the second binary digit of A is 1? 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 O B is 1?
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- 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.]Suppose the function X₂+1 = (ax₂ + c) mod m is used to generate pseudo random number. Assume: m=11₁a-6,c=2, xo=5, what are x₁, x2 and x3 ?Q4/Full the following blanks (1101 1010)BCD(5211) = ( )BCD(3321)=()EX-3=()16 * (1101 1010)BCD(5211) = (1110 1100)BCD(3321)=(1010110)EX-3= (A6)16 (1101 1010)BCD(5211) = (1110 0111)BCD(3321)=(1011001)EX-3= (56)16 (1101 1010)BCD(5211) = (1101 0111)BCD(3321)=(1011001)EX-3= (2B)16 (1101 1010)BCD(5211) = (1011 1110)BCD(3321)=(1000111)EX-3= (44)16 None of them II
- Transcribed Image Text You are given a sequence of 16N positive integers a1, a2, . .. , a16N - You may shuffle this sequence in any way you choose, i.e. change it to any one of its permutations. Then, let (a1 Đ a2) ® (az e a4) ...® (asN-1 asN), (a8N+1 O a8N+2) ® (asN+3 O a8N+4) ®...® (a16N-1 O A16N), where O and O denote bitwise AND and XOR respectively. Find the maximum possible value of x – yGiven A={1,2,3,4,56}, B= {2,4,5,6} and C= (1,6,7} 1. B' U C'=Suppose that a “word” is any string of seven letters of the alphabet, with repeated letters allowed. How many words begin with A or B? 526 2*(266) 2*(265) 525 Which of the following is the number of words of seven letters of the alphabet, with repeated letters allowed, that have exactly one vowel? 5*206 5*7*206 5*7*216 5*216
- Evaluate the following FOL-wff using the given interpretation: (Vz)(Q(x) (By)(P(r,y) (Vx)P(y, r))) 1. U= {a, b} IT y P(r,y) y Q(y) a a. a a. b. aGiven F (x, y, z) = y' + xyz': a. Express F as a Sum of Minterms b. Express F as a Product of Maxterms c. Express F' as a Sum of Minterms d. Express F' as a Product of Maxterms= = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.
- 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.Please answer this question in 10 mins i will surely rate your answer. Given an integer string, create all integer permutations of its digits. Determine if there is a permutation whose integer value is evenly divisible by 8, L.e. (permutation value) mod 8 = 0. For example, the possible permutations of 123 are p= (123, 132, 213, 231, 312, 321). Of these values, p[4]-312 is divisible by 8 because 312 mod 8=0. Function Description Complete the function checkDivisibility in the editor below. The function must return an array of result strings, either YES or NO, where each result[i] denotes whether a permutation of arr[i] is divisible by 8. checkDivisibility has the following parameter(s): arr[arr[0]...arr[n-1]): an array of integer strings Constraints • 1≤ns45 Osarris 10110 All characters of arr[i] € (0-9) Input Format for Custom Testing Input from stdin will be processed as follows and passed to the function. The first line contains an integer n, the size of the array arr. Each of the…I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ code