Lesson 2.1 Key Terms AOI Combinational Logic
Term
Definition
DeMorgan’s Theorems 1) 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 Property
Full 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 number. This bit has the number’s
smallest positional multiplier.
Logic Circuit
Any circuit that behaves according to a set of logic rules.
Logic Diagram
A diagram, similar to a schematic, showing the connection of logic
gates.
Maxterm
A sum term in a Boolean expression where all possible variables
appear once in true or complement form.
Minterm
A product term in a Boolean expression where all possible
variables appear once in true or complement form.
Most Significant Bit
(MSB)
The leftmost bit in a binary number. This bit has the number’s
largest positional multiplier.
Product-of-Sums
(POS)
A type of Boolean expression where several sum terms are
multiplied (AND’ed) together.
Product Term
A term in a Boolean expression where one or more true or
complement variables are AND’ed.
Sum-of-Products
(SOP)
A type of Boolean expression where several product terms are
summed (OR’ed) together.
Sum Term
A term in a Boolean expression where one or more true or
complement variables are OR’ed.
Truth Table
A list of all possible input values to a digital circuit, listed in
ascending binary order, and the output response for each input
combination.
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Digital Electronics Lesson 2.1 AOI Combinational Logic Key Terms – Page 1