© 2006 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 4, Lecture D Approximate Running Time is 25 Minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: 1.Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” 2.You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” 3.You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.

© 2006 Baylor University Slide 2 Number Systems Digits Base 10 Base 2 “Binary Digits” = bits 8 bits = binary word = Byte 4 bit word = “nibble” 8 bit word = 2 8 = 256

© 2006 Baylor University Slide 3 Counting in Binary Flip-Flop Two “States” ON = 1 OFF = 0 4 Flip-Flops to make a 4-bit word

© 2006 Baylor University Slide 4 Binary Counting Order Three Events Truth Tables are always listed in Binary Counting Order. 2 possible states - 2 n 3 events with 2 states = 2 3 = 8 different events

© 2006 Baylor University Slide 5 Computer Accuracy of Binary Numbers

© 2006 Baylor University Slide 6 A Bit of Computer History Lady Ada Lovelace Charles Babbage Herman Hollerith Jack Kilby Tabulating Machine Co.

© 2006 Baylor University Slide 7 Truth Table for the OR Operation This symbol has different meanings, depending on where it is used. For this course, we will follow the text usage. Truth Table Rules: True = 1 = ON False = 0 = OFF

© 2006 Baylor University Slide 8 Truth Table for the AND Operation Truth Table Rules:

© 2006 Baylor University Slide 9 Truth Table for the NOT Operation Truth Table Rules:

© 2006 Baylor University Slide 10 Logical Identities

© 2006 Baylor University Slide 11 Absorption Laws DeMorgan’s Laws

© 2006 Baylor University Slide 12 Electronic Gate Circuits OR AND NOT Inverter

© 2006 Baylor University Slide 13 Variations on the Basic Gate Circuits NOT OR NOR gate NOT AND NAND gate

© 2006 Baylor University Slide 14 This concludes Unit 4, Lecture D