The resultant of A AND B Select one: a. Is always true O b. Is always false except when A and B are both True O c. Is always fals d. Is always true except when A and B are both false
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- Let a and b be two Boolean variables. Select all the logically equivalent functions of a(a+b+1). A. a2 + ab +a B. a(a+b) C. aa+a (null law) D. a (null law 1+a+b = 1Let Q(x, y) denote xy< 0 The domain of x is {1,2,3} and the domain of y is {0, -1, -2, -3). Implement the code that outputs the truth values of the following quantifications: 1. ∀x ∀y Q(x, y) 2. ∀x ∃y Q(x, y) Display values of variables x and y if the quantification is true.For each of the following regular expressions over Σ = {a, b}, state 5 strings that are in the language of the regular expression, and 5 strings that are not. 1. (a∗b)∗|a∗2. (Σ∗aaΣ∗)|(Σ∗bbΣ∗)|(ab)∗|(ba)∗|a|b
- QUANTIFICATION True or False (FOR SOME x)(FOR SOME y), x, y are any integers: x + y = 0.(b) Prove partial correctness for the following while program. Note that you should clearly identify a loop invariant.a=x;y=1; while }(a>0){y∗=a;a−−;The precondition here isx≥0and postcondition isy=x!QUANTIFICATION True or False (FOR SOME x) (FOR SOME y), with x and y as integers: x^2 + y = x.
- CODE THE FIRT PROBLEM USING MATLAB DONT REJECT THE QUESTION PLEASE.if p and q are logical variables, which of the following is a tautology (i.e., always correct irrespective of specific value of variables) Select one: a. p → (q ∧ p) b. p ∨ (q → q) c. (p ∨ q) → q d. p ∨ (p → q)If statment A is true and statement B and C both false, what is the truth value for (A^~b)-->C?
- Find the compliment of the following Boolean functions and reduce them to a minimumnumber of literals. (a) (BC’+A’D)(AB’+CD’) (b) B’D+A’BC’+ACD+A’BC note ' represents complementConstruct a truth table for the statements belowa. (p ∧ q) ∧ (~r ∨ q).b. ~[~p ∧ (q ∧ r)]c. [p ∧ (q ∨ ~p)] → ~p then find the truth value of the statement givena. p is a false statement, q is a true statement and r is a true statement.b. p is a false statement, q is a false statement and r is a false statement.c. p is a false statement, q is a false statement and r is a true statement.QUANTIFICATION True or False FOR ALL x, x is any integer: x^4 is greater or equal x.