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### 18 Cards in this Set

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 Associative Property A mathematical function is associative if its operands can be grouped in any order without affecting the result. For example, addition is associative ((a+b) + c = a + (b+c)), but subtraction is not ((a-b) –c ≠ a-(b-c)). Binary Number System A number system used extensively in digital systems, based on the number 2. It uses two digits to write any number. Boolean Algebra Algebraic process used as a tool in the design and analysis of digital systems. In Boolean algebra only two values are possible, 0 and 1. Boolean Theorems Rules that can be applied to Boolean algebra to simplify logic expressions. Boolean Variable A variable having only two possible values, such as HIGH/LOW, 1/0, On/Off, or True/False. Commutative Property A mathematical operation is commutative if it can be applied to its operands in any order without affecting the result. For example, addition is commutative (a+b=b+a), but subtraction is not (a-b≠b-a). Decimal System Number system that uses 10 different digits or symbols to represent a quantity. DeMorgan’s Theorems Theorem stating that the complement of a sum (OR operation) equals the product (AND operation) of the complements, and 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 num ber. This bit has the number’s smallest positional multiplier. Logic Circuit Any circuit that behaves according to a set of logic rules. 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 loargest positional multiplier. Product Term A term in a Boolean expression where one or more true or complement variables are ANDed. Product-of-Sums (POS) A type of Boolean expression where several sum terms are multiplied (ANDed) together. Sum Term A term in a Boolean expression where one or more true or complement variables are ORed. Sum-of-Products (SOP) A type of Boolean expression where several product terms are summed (ORed) together.