EE101Lecture8

EE101Lecture8 - C = P + P((V+B+T)+R) 4 Levels of Logic Mark...

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© Mark Redekopp, All rights reserved Introduction to Digital Logic Lecture 8: Negative Logic Circuit Manipulations 2-Level Implementations
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© Mark Redekopp, All rights reserved Negative Logic • In negative logic 0 means true and 1 means false volts time 1=true/on 0=false/off volts time 1=false/off 0=true/on Negative Logic Positive Logic (Value/Meaning) (Value/Meaning)
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© Mark Redekopp, All rights reserved Negative Logic A negative logic OR function is equivalent to an AND gate = = A negative logic AND function is equivalent to an OR gate
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© Mark Redekopp, All rights reserved Circuit Design • Take a problem description and create a circuit – “A car stereo display should show the c lock time (as opposed to other information) when the p ower is off or when the p ower is on and the s ound settings or r adio station are not being changed. The sound settings are considered as the v olume, b alance and t reble/bass.” C = P + P(S+R) = P + P((V+B+T)+R)
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© Mark Redekopp, All rights reserved Car Stereo Example C = P + P((V+B+T)+R)
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© Mark Redekopp, All rights reserved Car Stereo Example
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Unformatted text preview: C = P + P((V+B+T)+R) 4 Levels of Logic Mark Redekopp, All rights reserved 2-Level Implementation Converting to SOP or POS always yields a 2-level implementation C = P + P((V+B+T)+R) = P + P((VBT)+R) = P + PVBT + PR Mark Redekopp, All rights reserved AND-OR / NAND-NAND S O P = > AND-OR Implementation NAND-NAND Implementation = Mark Redekopp, All rights reserved OR-AND / NOR-NOR P O S = > OR-AND Implementation NOR-NOR Implementation Mark Redekopp, All rights reserved AND-NOR / NAND-AND Suppose we wanted to implement a function with AND-NOR Implement F via SOP, AND-OR Change last OR gate to NOR and you will have F. AND-NOR can then be converted by NAND-AND Mark Redekopp, All rights reserved OR-NAND / NOR-OR Suppose we wanted to implement a function with OR-NAND Implement F via POS, OR-AND Change last AND gate to NAND and you will have F. OR-NAND can then be converted by NOR-OR...
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This note was uploaded on 02/27/2008 for the course EE 101 taught by Professor Redekopp during the Fall '06 term at USC.

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EE101Lecture8 - C = P + P((V+B+T)+R) 4 Levels of Logic Mark...

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