lecture11

# lecture11 - Lecture 11 Digital Logic Design Todays Focus...

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Lecture 11: Digital Logic Design

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CS 30 Today’s Focus: Truth Table  (Simplifed) Boolean Expression
From Truth Table Boolean Expression Sum of the Product F= ABC + BCD + DEF Product of the Sum F= (A+B+C) (B+C+D) (D+E+F) CS 30

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Sum of the Product Each row of the truth table represents a product term Product term -- each row in which the output column is a 1 contributes a single ANDed term of input variables to the Boolean expressions If the column associated with variable X has a 0 in it, the expression X’ is part of the ANDed term., otherwise, X is part of the ANDed term Sum of the product Product terms are ORed together CS 30
CS 30 Examples literal

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Another Example CS 30 1 1 Carry = A’B’+ AB Sum = A’B’ + A’B+ AB’ 0 0 1 0 1 0 0 1 Carry = A’B+AB’ Sum = AB
One More 1 1

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What About Product of the Sum CS 30 1 1 Carry = A’B’+ AB Sum = A’B’ + A’B+ AB’ Carry’= (A+B)(A’+B’) = C Sum’ = (A+B)(A+B’)(A’+B) =S 0 0 1 0 1 0 0 1 C = A’B+AB’ S = AB C S
Product of the Sum Each row of the truth table represents a sum term Sum term -- each row in which the output column is a 0

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## This note was uploaded on 12/27/2011 for the course CMPSC 64 taught by Professor Zheng during the Fall '09 term at UCSB.

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lecture11 - Lecture 11 Digital Logic Design Todays Focus...

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