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# Class Note for ECE 380 at UA-Digital Logic(17)

Marketplace > University of Alabama - Tuscaloosa > Class Note for ECE 380 at UA Digital Logic 17

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Alabama - Tuscaloosa taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 02/06/15
Lookup tables ECE380 Digital Logic Implementation Technology Look up Tables XOR and XNOR gates o A logic block commonly used in FPGA devices is the lookup table LUT 0 An LUT contains storage cells that are used to implement small logic functions 0 Each cell is capable of storing a single logic value 0 or 1 o Multiplexers are used to select one of the storage cells for output 0 Essentially the cells store the truth table for a function and the multiplexers select a particular cell for output based on a set of select control inputs new a Cunning Enune ng m n 1 helmquot Levine 11 1 name a calming Enslnealm m n 1 191m Lain 11 2 Twoinput LUT structure Programmed LUT fa ba b most significant variable controls last multiplexer In a new a Cunning Enune ng m n 1 helmquot Levine 11 1 name a calming Enslnealm m n 1 191m Lain 11 a Threeinput LUT structure Threeinput LUT example X1 0 Show the diagram for a programmed LUT 2 that implements the function 0 o fabca bcabc ac 1 01 39 I f quot1 01 I l in X3 I ElectricalampCompmerEngineering Dr D J Jackson Lecture 11 5 ElectricalampComputer Engineering Dr D JJackson Lecture 11 6 Exclusive OR XOR gate Example XOR usage 0 Another basic element very useful in building 0 Recall the adder circuit circuits that perform arithmetic operations is the sumxy x y exclusive OR XOR gate carryxy o XOR function is denoted with the a symbol 0 In SOP form a G9 b ab a b 0 Output is 1 only if the inputs are different X D Igt Sle y E carry 0 0 1 1 HOl O 1 ajxgtaeb 0 Electrical ampCompmer Engineering Dr D J Jackson Lecture 11 7 Electrical amp Computer Engineering Dr D J Jackson Lecture 11 B XOR of three variables o What is the canonical SOP form for the following expression fabc a e b e c Electrical ampCompmer Engineering Dr D J Jackson Lecture 11 9 Exclusive NOR XNOR gate o Derived from the XOR function XNOR is the complement of XOR o XNOR function is denoted with the asymbol o In SOP form a a b a EB b aba b 0 Output is 1 only if the inputs are the same 0 Also called an equivalence function a 0 0 1 1 H O O H III 79 9 III 039 HOl O Electrical amp Computer Engineering Dr D J Jackson Lecture 11 10 XNOR of three variables o What is the canonical SOP form for the following expression fabc a a b a c Electrical ampCompmer Engineering Dr D J Jackson Lecture 11 11

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