Download presentation

Presentation is loading. Please wait.

Published byReanna Baysden Modified over 3 years ago

1
ITEC 352 Lecture 2 Low level components

2
Review Electricity Math Components

3
Low level components Foundatio n Wires –Why are they coated with rubber? –Crossing wires are not connected –Terminated are –Curved bump is not connected –Represented as

4
Low level components Not Symbol that implies the inverse Add a circle before a connection on a diagram…

5
Low level components Transistor Critical piece of technology Faucet analogy Not gate

6
Low level components Gates Not Bill Graphical representation of groups of transistors And gate (Just like && in programming)

7
Low level components Or / Not Symbols Or NorXor Xnor

8
Low level components Hardware Not all hardware is constructed equally Some is easier than others Can construct all logic using limited set of gates (and/or/not, NAND) NAND gates –Easiest / cheapest to produce Problem –We dont naturally think in NAND gates

9
Low level components Math DeMorgans Theorem Not (P and Q) = (Not P) or (Not Q) Not (P or Q) = (Not P) and (Not Q)

10
Low level components Idempotenc e Fancy word, simple concept And a value, what do you get? Or a value what do you get? Useful for translating one gate type to another

11
Low level components Others Distributive Associative A and (B or C) = (A and B) or (A and C) A or (B and C) = (A or B) and (A or C) A and (B and C) = (A and B) and C A or (B or C) = (A or B) or C

12
Low level components Others Absorption Consensus A and ( A or B) = A A or (A and B) = A (A and B) Or (Not A and C) Or (B and C) = (A and B) Or (Not A and C) (A or B) and (Not A or C) and (B or C) = (A or B) and (Not A or C)

13
Low level components Process Transformation Using DeMorgans Law: A or B => Not ( Not (A + B) ) Not ( Not (A and B) )

14
Low level components Tedious Not difficult, just requires patience and practice Practice –Turn an AND gate into NAND gates ???

15
Low level components Answer Note: We need to invert the answer So and it with itself and invert it again

16
Low level components Why? Adding binary numbers What all do we have to consider for adding 2 numbers together? How do we represent this using gates?

17
Low level components Summary Transistors Wires Gates Math Example of why we learn about them

Similar presentations

OK

Lecture 17: Digital Design Today’s topic –Intro to Boolean functions Reminders –HW 4 due Wednesday 10/8/2014 (extended) –HW 5 due Wednesday 10/15/2014.

Lecture 17: Digital Design Today’s topic –Intro to Boolean functions Reminders –HW 4 due Wednesday 10/8/2014 (extended) –HW 5 due Wednesday 10/15/2014.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on rf based 8 channel remote control Ppt on review writing definition Ppt on festivals of punjab Ppt on amplitude shift keying remote Ppt on edge detection in image Ppt on object-oriented programming concepts ppt Ppt on coalition government examples Ppt on food supplements Ppt on life cycle of a star Ppt on shell scripting tutorial