Create code in Python that produce truth tables for zyBooks end of section 1.3 Exercise 1.3.4: Truth tables for logical expressions (c,d) (See exercises below). Include good, contextualized (i.e. in plain English) comments to explain each row of the truth tables. Give a truth table for each expression. (a) (¬p ∧ q) → p (b) (p → q) → (q → p) (c) (p ∨ q) ↔ (q → ¬p) (d) (p ↔ q) ⊕ (p ↔ ¬q) (e) (p ∨ q) ↔ (q ∧ p)
Create code in Python that produce truth tables for zyBooks end of section 1.3 Exercise 1.3.4: Truth tables for logical expressions (c,d) (See exercises below). Include good, contextualized (i.e. in plain English) comments to explain each row of the truth tables.
Give a truth table for each expression.
The task at hand is to create Python code that produces truth tables for several logical expressions. A truth table enumerates all possible combinations of truth values that a logical expression can take based on its variables. We specifically focus on five logical expressions involving the variables and , along with logical connectives such as negation (¬), conjunction (and/∧), disjunction (or/∨), implication (→), equivalence (↔), and exclusive or (⊕).
Algorithm
- Define a function to print the header of the truth table, indicating the logical expression being evaluated.
- Define a function to evaluate a logical expression based on the current truth values of its variables and .
- Define a function to generate and print the entire truth table by looping through all possible combinations of truth values for and .
- Store each logical expression as a Python evaluable string alongside its textual description.
- Loop through the expressions and call the function to generate the truth tables.
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