Logic Gates And Truth Tables Logic Table

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Logic gates and truth tablesDefine digital logic states for the lab we will use the following definitions for VTL (Virginia Tech Logic)True ” 1” voltage between 6.95V and 9VFalse “0” voltage between 0V and 2.95VThe logic table will show the possible input states (0 or 1) and the resultants output states.Inverter (NOT function)The circle denotes inversion or NOT. The bar over the logic variable denotes inversion.̅ (NOT A) Inverted output.AB AInput AOutput B0110Inverter logic tableInput AOutput BFalseTrueTrueFalseInverter truth tableInput AOutput B0V9V9V0VInverter function tablePage 1 of 5Fall 2010/rfc

OR functionC A BAC A BBInput A0011Input B0101OR gate logic tableOutput C0111Input AFalseFalseTrueTrueInput BFalseTrueFalseTrueOR gate truth tableOutput CFalseTrueTrueTrueInput A0V0v9V9VInput B0V9V0V9VOR gate function TableOutput C0V9V9V9VNOR function̅̅̅̅̅̅̅ This is an OR function with resultant output inverted ( not OR ) NORABC A BPage 2 of 5Fall 2010/rfc

Input A0011Input B0101NOR gate logic tableOutput C1000Input ̅FalseFalseTrueTrueInput ̅FalseTrueFalseTrueNOR gate truth tableOutput CTrueFalseFalseFalseInput A0V0V9V9VInput B0V9V0V9VNOR gate function tableOutput C9V0V0V0VAND functionC ABABC ABInput A0011Input B0101AND gate logic tableOutput C0001Input AFalseFalseTrueTrueInput BFalseTrueFalseTrueAND gate truth tableOutput CFalseFalseFalseTruePage 3 of 5Fall 2010/rfc

Input A0V0V9V9VInput B0V9V0V9VAND gate function tableOutput C0V0V0V9VNAND function̅̅̅̅̅ This is an AND function with resultant output inverted ( not AND ) NANDABC ABInput A0011Input ̅FalseFalseTrueTrueInput A0V0V9V9VInput B0101NAND logic tableInput ̅FalseTrueFalseTrueNAND truth tableInput B0V9V0V9VNAND function tableOutput C1000Output CTrueFalseFalseFalseOutput C9V0V0V0VPage 4 of 5Fall 2010/rfc

S R LatchSSQQQRRQThe inputs set ̅ and reset ̅ will change the output Q and ̅ when they are taken low0V. The outputs Q and ̅ are complementary of each other.Note when both ̅ and ̅ inputs are at 0V when they are released back to 5V the outputQ and ̅ will be determined by a race condition i.e. the last one to return to 5V will determinethe output latch stateInput ̅0011Output QInput ̅0111001Q (No change)S R Latch Logic tableOutput ̅101̅ (no change)Input ̅0V0V9V9VOutput QInput ̅0V9V9V9V0V0V9VQ (No change)S R Latch Function tableOutput ̅9V0V9V̅ (no change)Page 5 of 5Fall 2010/rfc

NOR gate logic table Input ̅ Input ̅ Output C False False True False True False True False False True True False NOR gate truth table . AND gate function table NAND function ̅̅̅ ̅ ̅ This is an AND function with resultant output inverted ( not AND )

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