Complete the truth table for the following statement: (p∧∼q)∧(∼p∨q)
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Complete the truth table for the following statement:
(p∧∼q)∧(∼p∨q)
p | q | ~p | ~q | p∧∼q | ∼p∨q | (p∧∼q)∧(∼p∨q) |
T | T | |||||
T | F | |||||
F | T | |||||
F | F |
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- Make a truth table for the given statement: p and not q A. TTFF B. FTFF C. FFFF D. NONE OF THESE ANSWERSComplete the truth table for the given statements and then determine if the two statements are logically equivalent. ∼p∨∼q∼p∨∼q and p⇒∼qSimplify the following Boolean expressions to a minimum number of literals: (Note:Literal(AND,OR,NOT)) ∗ xyz + x ′ y + xyz’ a ′ bc + abc ′ + abc + a ′ bc’
- Determine whether the following statements are logically equivalent using truth tables. (p ∧ q) → r and p ↔ (q → r)Construct 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.Construct a truth table and use it to determine which of the following statements is equivalent to the statement ∼p∧∼q.
- Construct a truth table to decide if the two statements are equivalent. ~p ∧ ~q; ~(p ∨ q) TRUE FALSEConstruct a truth table for the following compound statement, where p,q, and r denote primitive statementsSimplify the following Boolean expressions to a minimum number of literals: a ′ bc + abc ′ + abc + a ′ bc ′
- Show using a truth table if the following statements are equivalent. d. p → (q ∨ r) and (p → q) ∨ (p → r)e. [p ↔ (q ∨ r)] ∨ q and (p → q) ∨ (p ↔ r)Determine whether statement forms p ∧ (q ∨ r) and (p ∧ q) ∨ (p ∧ r) are logically equivalent.Justify your answer.Simplify the following Boolean expressions to a minimum number of literals: (e) (a + b + c')(a' b' + c) (f) a'bc + abc' + abc + a'bc'