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Unit 2.1.1

TermDefinition Examples
Distributive Property Distribution property of multiplication over addition. The property that allows us to distribute ("multiply through"). The distributive property allows me to distribute 2(3*9) to get (2*3)*(2*9).
Least Significant Bit The rightmost but of a binary number. This bit has the number's smallest positional number. -The least significant digit in 110101 is [][][][][]1
Logic Circuit Any circuit that behaves according to a set of logic rules. Controlling systems may use logic circuits. (Alarms, etc.)
Logic Diagram A diagram, similar to a schematic, showing the connection of logic gates. In the logic diagram, AND gates and OR gates were used.
Maxterm A sum term in 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. There were three Minterms that appeared on the table.
Most Significant Bit The leftmost bit in a binary number. This bit has the number's largest positional multiplier. The most signigicant bit in 110101 is 1[][][][][]
Product-of-Sums (POS) A type of Boolean expression where several sum terms are multiplied (AND'ed) together. Multiplication used (instead of adding in the SOP, it multiplies).
Product Term A type of Boolean expression where one or more true or complement variables The product of the terms.
Sum-of-products A type of Boolean expression where several product terms are summed (OR'ed) together. The SOP of the circuit is AC+AB+ABC
Sum Term A term in a Boolean expression where one or more true or complement variables are OR'ed Sum of the terms.
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. I got the SOP expression from the outputs on the truth table.
DeMorgan's Theorems 1). Theorem stating that the complement of a sum (OR operation) equals the product (AND operation) of the complements. 2). Theorem stating that the complement of a product (AND operation) equals the sum (OR operation) of the complements. The sum of values equal it's product.
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