Final Project. Project Idea. Sample Project Idea 2/11/2019. CS 362: Computer Design Lecture 7: DeMorgan s, XOR, Universal Gates

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1 Final Project CS 362: Computer Design Lecture 7: DeMorgan s, XOR, Universal Gates Original by: Mitchell Theys University of Illinois at Chicago September 18, 2018 Groups of 2 4 Number people x requirement If you're group of 3 people, then you need to use 3 arduinos and a total of 6 different external devices Make use of an arduino (or similar) microcontroller Utilize at least two different external devices (16x2 display, LEDs, pushbuttons, touch sensors, etc) Utilize some communication mechanism (ethernet, bluetooth, serial, etc) Involve some original work Project Idea Due Friday 2/15 before 11:59pm Find your group partners (if you haven t already) As a Group, post The names and NetID s of all group partners A working title for your Project A 1 paragraph write up of a project idea on piazza as a follow up to the pproject Milestone #2 post Ok to have multiple groups doing similar projects Sample Project Idea For the project I would like to build a fingerprint garage door opener. With the UNO R3 Board 1602 LCD Display module acting as an instruction setup, instructing the user to place finger, as well as display verified or unverified fingerprint messages. In order to authorize fingerprints, a fingerprint scanning module with a built in optical sensor will be needed to read and identify the fingerprints. The LCD display and the fingerprint scanning module will be powered by a battery to maximize mobility, provide compactness and increase efficiency... Questions on Project? Minimal Cover The expression for the function which has the fewest terms, each with the fewest literals Used to create the smallest circuit for the function On a k map: the solution using the fewest, largest circles 1

2 Every function has exactly one minimal cover A. True B. False What is the minimal cover? A. a c + bc + ac B. a c + ab + ac C. a c + ac + abc D. More than one of the above a\bc a b c f literal K maps Repeat gray code along both axis Wrap arounds are harder to see sometimes wx\yz Example continued How many essential prime implicants are there for this function? A 1 B 2 C 3 D 4 E something else Questions about K Maps? DeMorgan s Law: OR (a+b) = a b a b a+b (a+b) a b a b a b 2

3 (ab) = (a +b ) DeMorgan s Law: AND A. a b c Apply DeMorgan s to (a+bc ) a b ab (ab) a b a b (a +b ) B. a +b c C. a (b +c ) D. a (b +c) Recall: Xor 1 XOR 1 XOR Algebraic representation: A^B or A. 0 B XOR is equivalent to XNOR A. a b + ab B. (a +b)(a+b ) C. (ab) +(a b ) D. None of the above 3

4 1 XNOR 0 XNOR 0 XNOR is equivalent to A. 0 A. ab + a b B B. (a b + ab ) C. (a+b)(a +b ) D. More than one of the above Recall: Universal Gates: All Other Gates Can Be Created From NAND (or NOR) Creating NOT from NAND a nand a is also equivalent to not a A. True B. False Not A X Creating AND from NAND And Which is equivalent to A OR B? A. A NAND B B. NOT (A NAND B) Or C. (NOT A) NAND (NOT B) D. NOT ((NOT A) NAND (NOT B))

5 ASICs NANDS & ASICs Application Specific Integrated Circuits Used when you need hardware customdesigned for an application Bitcoin mining Embedded systems Can pre fabricate a chip with millions of NAND gates Wire up the NANDs differently to create any custom circuit! Only Circuits Converting a circuit to NANDS Converting AND/OR/NOT circuits to NAND only circuits can result in simpler circuits NANDs are easier to build from transistors a b c d Can eliminate unnecessary NAND gates from the circuit Converting a circuit to NANDS a b c d 5

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