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Questions and Answers
Which term is a single literal or multiple literals connected by OR?
Which term is a single literal or multiple literals connected by OR?
- Sum-of-Product (SOP)
- Product-of-Sum (POS)
- Product term
- Sum term (correct)
What is the term for a product term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both?
What is the term for a product term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both?
- Minterm (correct)
- Product term
- Maxterm
- Sum term
Which expression connects multiple product terms with OR?
Which expression connects multiple product terms with OR?
- Sum term
- Product term
- Product-of-Sum (POS)
- Sum-of-Product (SOP) (correct)
What is the term for a sum term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both?
What is the term for a sum term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both?
Which expression connects multiple sum terms with AND?
Which expression connects multiple sum terms with AND?
For a 2-variable Boolean function, how many minterms and maxterms are possible?
For a 2-variable Boolean function, how many minterms and maxterms are possible?
In the given truth table, what is the canonical Sum-of-Product (SOP) expression for the Boolean function F?
In the given truth table, what is the canonical Sum-of-Product (SOP) expression for the Boolean function F?
What is the canonical Product-of-Sum (POS) expression for the Boolean function F?
What is the canonical Product-of-Sum (POS) expression for the Boolean function F?
For a 3-variable Boolean function, how many minterms and maxterms are possible?
For a 3-variable Boolean function, how many minterms and maxterms are possible?
Based on the given truth table, what would be the canonical POS expression for the Boolean expression F = A+B+C?
Based on the given truth table, what would be the canonical POS expression for the Boolean expression F = A+B+C?
Study Notes
Boolean Algebra Terminology
- A term is a single literal or multiple literals connected by OR.
Product Terms
- A product term is a term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both.
- Multiple product terms are connected with OR.
Sum Terms
- A sum term is a term in which each of the n variables appears exactly once either complemented or un-complemented, but not in both.
- Multiple sum terms are connected with AND.
Minterms and Maxterms
- For a 2-variable Boolean function, there are 2^2 = 4 minterms and 2^2 = 4 maxterms possible.
- For a 3-variable Boolean function, there are 2^3 = 8 minterms and 2^3 = 8 maxterms possible.
Canonical Expressions
- The canonical Sum-of-Product (SOP) expression is derived from the truth table.
- The canonical Product-of-Sum (POS) expression is also derived from the truth table.
- For a 3-variable Boolean function F = A+B+C, the canonical POS expression is (A'+B'+C')'(A+B'+C')'(A'+B+C')'(A'+B'+C').
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Description
This quiz covers the process of deriving Boolean expressions from a truth table in the context of Digital Logic Design I. It includes definitions such as literals, product terms, and sum terms.
