Canonical form is a unique way of representing ____________a.Boolean Expressionsb.SOPc.Min termd.POS

Break Down the Problem

1. Identify the Question: The question asks about what canonical form uniquely represents.
2. Determine Options: The options provided are:
   • a. Boolean Expressions
   • b. SOP (Sum of Products)
   • c. Min term
   • d. POS (Product of Sums)

Relevant Concepts

1. Canonical Forms in Boolean Algebra:
   • Canonical forms are standardized ways of representing Boolean expressions. They allow for easier simplification and comparison.
   • Two common types of canonical forms are Sum of Products (SOP) and Product of Sums (POS).
   • A min term is a specific product term in SOP that represents a unique combination of variables.

Analysis and Detail

1. Evaluating the Options:
   • a. Boolean Expressions: This is broad and encompasses all forms, not just canonical representations.
   • b. SOP: While SOP is a canonical form, it's not the only one.
   • c. Min term: This is a specific type of term in the SOP canonical form.
   • d. POS: Like SOP, it's another canonical representation but not unique on its own.

Verify and Summarize

1. Conclusion: Canonical forms represent unique combinations of variables. The most precise option that reflects a specific representation in canonical form would be c. Min term, as each min term corresponds to an exact point in the Boolean expression.

Final Answer

c. Min term