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Instructor: Alexander Stoytchev

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1 Instructor: Alexander Stoytchev
CprE 281: Digital Logic Instructor: Alexander Stoytchev

2 Logic Gates CprE 281: Digital Logic Iowa State University, Ames, IA
Copyright © Alexander Stoytchev

3 Administrative Stuff This is the official class web page:
A link was ed to you on Monday. Let me know if you did not get that .

4 Administrative Stuff HW1 is out It is due on Wednesday Sep 4 @ 4pm.
Submit it on paper before the start of the lecture

5 Administrative Stuff HW2 is out It is due on Monday Sep 9 @ 4pm.
Submit it on paper before the start of the lecture

6 Administrative Stuff The labs and recitations start next week:
Section N: Mondays, 9: :50am (Coover Hall, room 2050) Section M: Tuesdays, 2:10 - 5:00pm (Coover Hall, room 2050) Section J: Wednesdays, 8: :50am (Coover Hall, room 2050) Section L: Thursdays, 2:10 - 5:00pm (Coover Hall, room 2050) Section K: Thursdays, 5:10 - 8:00pm (Coover Hall, room 2050) Section G: Fridays, 11:00am - 1:50pm (Coover Hall, room 2050)

7 Figure 1.5 in the textbook: An FPGA board.
Labs Next Week Figure 1.5 in the textbook: An FPGA board.

8 Labs Next Week Please download and read the lab assignment for next week before you go to your lab section. You must print the answer sheet and do the prelab before you go to the lab. The TAs will check your answers at the beginning of the lab.

9 Administrative Stuff No class next Monday (Labor Day)
If you are in the Monday Lab, please go to one of the other five labs next week. The lab schedule is posted on the class web page

10 A Binary Switch x = x = 1 (a) Two states of a switch S x
x = 1 (a) Two states of a switch S x (b) Symbol for a switch [ Figure 2.1 from the textbook ]

11 A Light Controlled by a Switch
(a) Simple connection to a battery S Battery Light x [ Figure 2.2a from the textbook ]

12 A Light Controlled by a Switch
(b) Using a ground connection as the return path Power supply S Light x [ Figure 2.2b from the textbook ]

13 The Logical AND function (series connection of the switches)
Power supply Light x1 x2 [ Figure 2.3a from the textbook ]

14 The Logical OR function (parallel connection of the switches)
Power supply Light x1 x2 [ Figure 2.3b from the textbook ]

15 A series-parallel connection
of the switches S Power supply Light X1 X2 X3 [ Figure 2.4 from the textbook ]

16 An Inverting Circuit R Power supply S Light x
[ Figure 2.5 from the textbook ]

17 The Three Basic Logic Gates
x 1 2 × x 1 2 + x NOT gate AND gate OR gate [ Figure 2.8 from the textbook ]

18 Truth Table for NOT x 1 x

19 Truth Table for AND x 1 2 ×

20 Truth Table for OR x 1 2 +

21 Truth Tables for AND and OR
[ Figure 2.6b from the textbook ]

22 Logic Gates with n Inputs
x 1 2 n × x 1 2 n + AND gate OR gate [ Figure 2.8 from the textbook ]

23 Truth Table for 3-input AND and OR
[ Figure 2.7 from the textbook ]

24 Example of a Logic Circuit Implemented with Logic Gates
1 2 3 f + ( ) × = [ Figure 2.8 from the textbook ]

25 Example of a Logic Circuit Implemented with Logic Gates
1 2 3 f + ( ) × = [ Figure 2.8 from the textbook ]

26 Network Analysis [ Figure 2.10 from the textbook ]

27 Network Analysis [ Figure 2.10 from the textbook ]

28 Network Analysis [ Figure 2.10 from the textbook ]

29 Network Analysis [ Figure 2.10 from the textbook ]

30 Network Analysis [ Figure 2.10 from the textbook ]

31 Timing Diagram [ Figure 2.10 from the textbook ]

32 Truth Table for this Network
[ Figure 2.10 from the textbook ]

33 Functionally Equivalent Networks
[ Figure 2.10 from the textbook ]

34 Functionally Equivalent Networks
[ Figure 2.10 from the textbook ]

35 The XOR Logic Gate [ Figure 2.11 from the textbook ]

36 The XOR Logic Gate [ Figure 2.11 from the textbook ]

37 Addition of Binary Numbers
[ Figure 2.12 from the textbook ]

38 Addition of Binary Numbers
[ Figure 2.12 from the textbook ]

39 Addition of Binary Numbers

40 Addition of Binary Numbers

41 Addition of Binary Numbers

42 Addition of Binary Numbers

43 Addition of Binary Numbers

44 Addition of Binary Numbers

45 Addition of Binary Numbers

46 Addition of Binary Numbers

47 Addition of Binary Numbers

48 Addition of Binary Numbers

49 Addition of Binary Numbers

50 Addition of Binary Numbers

51 Addition of Binary Numbers

52 Addition of Binary Numbers
?

53 Addition of Binary Numbers
AND

54 Addition of Binary Numbers

55 Addition of Binary Numbers
?

56 Addition of Binary Numbers
XOR

57 Addition of Binary Numbers

58 Addition of Binary Numbers

59 Addition of Binary Numbers

60 The following examples came from this book

61 [ Platt 2013 ]

62 [ Platt 2013 ]

63 [ Platt 2013 ]

64 Questions?

65 THE END


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