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2.1.1 Vocab

TermDefinitionExamples
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 a(b+c)=ab+ac
Least Significant Bit The rightmost bit of binary number. This bit has the number's smallest positional multiplier In the least significant bit the number has to end with a 1
Logic Circuit Any circuit that behaves according to a set of logic rules. Half adders, full adders, multiplexers
Logic Diagram A diagram, similar to a schematic, showing the connection of logic gates. An absrtact or non spatial diagram
Maxterm A sum term in a boolean expression where all possible variables appear once in true or complement form. Where all outcomes end in zero
Minterm A product term in boolean expression where all possible variables appear once in true or compliment form. Where all outcomes end in one
Most Significant Bit The leftmost bit in a binary number. This bit has the number's largest positional multiplier. The largest value on the far left
Product of Sums A type of boolean expression where several sum terms are multiplied (AND'ed) together A boolean expression consisting of Maxterms
Product Term A term in a boolean expression where one or more true or comlplement variables are AND'ed A conjunction of literals
Sum of Products A type of boolean expression where several product terms are summed (OR'ed) together AB+ABC+AC
Sum Terms A term in a boolean expression where one or more true or complement variables are OR'ed A canonical expression
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. Four rows in the table raised to the power of 2
DeMorgan Theorems Theorem stating that the complement of a sum(OR operation)equals the product (AND operration) of the complements, and theorem stating that the complement of a product (AND operation) equals the sum (OR operations )ff the components. input: F1(X*Y)*(Y+Z)
Created by: Joanthan