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18 Cards in this Set
- Front
- Back
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Associative Property
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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)).
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Binary Number System
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A number system used extensively in digital systems, based on the number 2. It uses two digits to write any number.
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Boolean Algebra
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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.
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Boolean Theorems
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Rules that can be applied to Boolean algebra to simplify logic expressions.
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Boolean Variable
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A variable having only two possible values, such as HIGH/LOW, 1/0, On/Off, or True/False.
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Commutative Property
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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).
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Decimal System
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Number system that uses 10 different digits or symbols to represent a quantity.
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DeMorgan’s Theorems
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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.
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Distributive Property
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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.
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Least Significant Bit (LSB)
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The rightmost bit of a binary num ber. This bit has the number’s smallest positional multiplier.
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Logic Circuit
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Any circuit that behaves according to a set of logic rules.
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Maxterm
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A sum term in a Boolean expression where all possible variables appear once in true or complement form.
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Minterm
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A product term in a Boolean expression where all possible variables appear once in true or complement form.
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Most Significant Bit (MSB)
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The leftmost bit in a binary number. This bit has the number’s loargest positional multiplier.
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Product Term
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A term in a Boolean expression where one or more true or complement variables are ANDed.
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Product-of-Sums (POS)
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A type of Boolean expression where several sum terms are multiplied (ANDed) together.
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Sum Term
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A term in a Boolean expression where one or more true or complement variables are ORed.
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Sum-of-Products (SOP)
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A type of Boolean expression where several product terms are summed (ORed) together.
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