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2.1 Vocab Cards

TermDefinitionExample Sentence
DeMorgan’s Theorems 1. theorem stating that the complement of a sum (OR operation) equals the product (AND operation) of the compliments 2. Theorem stating that the complement of a product (AND operation) equals the sum (OR operation) of the complements DEMORGANS THEOREM provides an easy way to find th inverse of a boolean expression
Distributive property Full name: distributive property of multiplication over addition. the property that allows us to distribute (“multiplying 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 that has the number smallest positional multipler
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 we use a logic diagram to see the connection between the different gates
Max term a sum term in a boolean expression where all possible variables appear once in true or complement form
min term 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. the bit has the numbers largest positional multiplier
Product-of-sum (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 OR’ed
Sum-of-Products (SOP) a types 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 acsending binary order, and the output response for each input combination
the important form of the DISTRIBUTIVE PROPERTY is M(A+B) = MA+MB
the table list bits ranges from the LEAST SIGNIFICANT BIT to the most significant bit
we use the logic circuit to do what we want
Maxterm expansion for f’ contains those MAX TERMS not present f (f’ = M1M2M3M4M5M6M7)
the MINTERM expansion for f’ contains those minterms not present in f (f’ = M0 + M1 + M2)
the table list bits ranges from least significant bit to MOST SIGNIFICANT BIT
we use the PRODUCT OF SUM to see what we need to multiple together
a seller of a toothbrush not only offers the physical PORDUCT TERM but also the idea of improving ones teeth
Ana use the SUM OF PRODUCTS to see what is being summed up
being able to see the SUM TERM of a product
Alex uses the TRUTH TABLE to see what LEDs are being turned on and off
Created by: ayejas