QUESTION 7 For the Boolean expression A* -B, select all of the logically equivalent Boolean expressions beiow: Oa. --A* - B Ob. (A* B) + -B OC. -(-A+ B) O d.A+ -B e. No logically equivalent expressions
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- Question 5 Use the laws of Boolean algebra to show that the two Boolean expressions below are equivalent. Label each step with the law used to reach it. (Note you are proving the Absorption Law, so don't use that law in your answer!) x + xy = x Full explain this question and text typing work only thanksCan anyone please help to create a logic diagram based on the equation K0 = A’ ? ( This question is not a part of any graded assignment)2. Look for the dual of the following Boolean expressions:a. xyz + x'y'z'b. xz' + x⋅0 +x'⋅1
- Choose the best answer :If the final column of a truth table of a given statement formula has all F then it is called a) A Contradiction b) A negation statement c) none of the aboveI need help to answer Question no. 30 prove that the below WFF is a valid argument. (∀x)(∀y)[(P(x) Λ S(x,y)) →Q(y)] Λ (∃x)B(x) Λ (∀x)(B(x) → P(x)) Λ (∀x)(∃y)S(x,y) → (∃x)Q(x) Chapter 1.4 - Predicate Logic Text Book: Discrete Mathematics and its application 7th edition. Author: Judith L Gersting.What's the logic circuit of this logical statement?A'.C'+A.B.C+A'.B
- Discrete Mathematics: Write each of the two statements in symbolic form and determine whether they are logically equivalent. Include a truth table. "If two is a factor of n and 3 is a factor of n, then 6 is a factor of n. 2 is not a factor of n or 3 is not a factor of n or 6 is a factor of n."Which logic law could be applied to the following clause? please give an explanation of the reasoning. ¬((a∧b)∨(c∨d))Translate each of these nested quantifications into an English statement that expresses a mathematicalfact. The domain in each case consists of all real numbers.a) ∃x∀y(x + y = y) b) ∀x∀y (((x ≥ 0) ∧ (y < 0)) → (x − y > 0))c) ∃x∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x − y > 0))d) ∀x∀y((x ≠ 0) ∧ (y ≠ 0) ↔ (xy ≠ 0))