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DE Lesson 2.1 Introduction to AOI Logic

Key Terms

AB
DeMorgan’s Theorems1) Theorem stating that the complement of a sum (OR operation) equals the product (AND operation) of the complements, and 2) Theorem stating that the complement of a product (AND operation) equals the sum (OR operation) of the complements.
Distributive PropertyFull name: distributive property of multiplication over addition. The property that allows us to distribute (“multiply through”) an AND across several OR functions. For example, a(b+c)=ab+ac.
Least Significant Bit (LSB)The rightmost bit of a binary num ber. This bit has the number’s smallest positional multiplier.
Logic CircuitAny circuit that behaves according to a set of logic rules.
Logic DiagramA diagram, similar to a schematic, showing the connection of logic gates.
MaxtermA sum term in a Boolean expression where all possible variables appear once in true or complement form.
MintermA product term in a Boolean expression where all possible variables appear once in true or complement form.
MostnSignificant Bit (MSB)The leftmost bit in a binary number. This bit has the number’s loargest positional multiplier.
Product-of-Sums (POS)A type of Boolean expression where several sum terms are multiplied (ANDed) together.
Product TermA term in a Boolean expression where one or more true or complement variables are ANDed.
Sum-of-Products (SOP)A type of Boolean expression where several product terms are summed (ORed) together.
Sum TermA term in a Boolean expression where one or more true or complement variables are ORed.
Truth TableA list of all possible input values to a digital circuit, listed in ascending binary order, and the output response for each input combination.


Southeast Raleigh Magnet High School
Raleigh, NC

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