Download presentation

Presentation is loading. Please wait.

Published byKendal Oke Modified over 3 years ago

1
9/15/09 - L6 Other Gate typesCopyright 2009 - Joanne DeGroat, ECE, OSU1 Other gate types

2
9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU2 Class 9 outline Other gate types The XOR High Impedance Material from section 2-8 thru 2-11 of text

3
Other gate types So far have seen AND OR NOT There are some other basic gates besides these 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU3

4
Other basic gates The Buffer F=X The buffer is used when the signal needs redriven The Tri-State Buffer or 3-State Buffer Useful for busses where there are multiple drivers 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU4

5
More basic gates – Very popular NAND – Not AND NOR – Not OR 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU5

6
Complex Logic Gates XOR – Exclusive OR F = XY + XY = X Y XNOR – Exclusive NOR F = XY + XY = X Y 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU6

7
More complex logic gates AND-OR-INVERT (AOI) F=(WX+YZ) OR-AND-INVERT (OAI) F = ( (W+X)(Y+Z) ) 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU7

8
And some more complex gates AND-OR F = WX + YZ OR-AND F = (W+X)(Y+Z) 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU8

9
More complex gates In general, complex gates are used to reduce the circuit complexity needed to implement the Boolean function. In VLSI land AND-OR is implemented as NAND-NAND 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU9

10
Identities of the XOR operation The following identities apply to the XOR operation: X 0 = X X 1 = X X X = 0 X X = 1 X Y = (X Y) Any or all of these can be proven by truth table or algebraic manipulation 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU10

11
Another XOR relationship Show XNOR is the compliment of XOR. (X Y) = X Y (XY + XY) = XY + XY Use DeMorgans (XY)(XY) = XY + XY (X+Y)(X+Y) = XY + XY XX + XY + XY + YY = XY + XY 0 + XY + XY + 0 XY + XY 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU11

12
XOR K-maps 2-variable map Z = XY+YX Z = X Y 3-variable map Z=X Y Z 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU12

13
XOR K-maps (continued) 4-variable map Z=W X Y Z Note that function is a one for an odd number of 1s on the inputs 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU13

14
High Impedance Outputs Consider the following circuit with tri-state buffers 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU14

15
Class 9 assignment Covered sections 2-8 thru 2-10 Problems for hand in none Problems for practice 2-34 Reading for next class: none – midterm section 3-1 and 3-2 after midterm. 9/15/09 - L6 Other Gate types Copyright 2009 - Joanne DeGroat, ECE, OSU15

Similar presentations

Presentation is loading. Please wait....

OK

Morgan Kaufmann Publishers

Morgan Kaufmann Publishers

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on red data book of india Ppt on historical significance of taj mahal Ppt on indian stock market basics Ppt on boilers operations with integers Ppt on indian stock market Ppt on the rise of nationalism in europe Ppt on sources of energy for class 8th science Ppt on area of parallelogram and triangles worksheet Ppt on machine translation quality Download ppt on maths in our daily life