IGNOU BMTC 103 2026 - Write the expression in conjunction normal form and disjunc

Question

Write the expression $x_1 \lor x_2 \land x_3 \lor x_4$ in conjunction normal form and disjunctive normal form.

20 Jan 2026

Answer :

Word Count : 233

In discrete mathematics, logical expressions can be represented in different standard forms such as Conjunctive Normal Form (CNF) and Disjunctive Normal Form (DNF) to simplify analysis and computation in logic circuits or automated reasoning. A logical expression is said to be in Conjunctive Normal Form if it is a conjunction (AND) of disjunctions (OR) of literals, where each literal is either a variable or its negation. For example, the expression (A ∨ ¬B) ∧ (B ∨ C) is in CNF because it is an AND of two OR clauses. To convert any logical

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