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Elec 2607 Digital Switching Circuits

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Presentation on theme: "Elec 2607 Digital Switching Circuits"— Presentation transcript:

1 Elec 2607 Digital Switching Circuits
Lecture 13 & 14: Digital Logic 26/12/2018 ELEC 2607 Lecture 13 & 14:

2 26/12/2018 ELEC 2607 Lecture 0:

3 ANOTHER FORM OF Digital Logic
26/12/2018 ELEC 2607 Lecture 13 & 14:

4 X Consider X = 0 Then change X = 1 26/12/2018
ELEC 2607 Lecture 13 & 14:

5 26/12/2018 ELEC 2607 Lecture 13 & 14:

6 Extra 1

7 Decoder from binary to octal
Timing problems Glitches reason hidden inside chip Extra 2 26/12/2018 ELEC 2607 Lecture 13 & 14:

8 Extra 3 26/12/2018 ELEC 2607 Lecture 13 & 14:
FIGURE Decoder waveform displays showing how transitional input states produce glitches in the output waveforms. Extra 3 26/12/2018 ELEC 2607 Lecture 13 & 14:

9 Decoder from binary to octal
Application of a strobe waveform to eliminate glitches on decoder outputs. Chip is active only when outputs are stable. Decoder from binary to octal Extra 4 26/12/2018 ELEC 2607 Lecture 13 & 14:

10 Have a better way to do this analysis
Output = XX Have a better way to do this analysis 26/12/2018 ELEC 2607 Lecture 13 & 14:

11 Consider X = 1 Then change X = 0 Output = X + X 26/12/2018
ELEC 2607 Lecture 13 & 14:

12 Don’t do simplification on output functions.
Output = X(X + X) Don’t do simplification on output functions. Simplification changes the circuit Output = X +(X X) 26/12/2018 ELEC 2607 Lecture 13 & 14:

13 Can you make a proper timing diagram?
recover 1 1 1 time X = 1 Change X = 0 Can you make a proper timing diagram? 26/12/2018 ELEC 2607 Lecture 13 & 14:

14 26/12/2018 ELEC 2607 Lecture 13 & 14:

15 Two terms in expression ORed together Two loops in KMap
Sum of product form Two terms in expression ORed together Two loops in KMap 26/12/2018 ELEC 2607 Lecture 13 & 14:

16 Also Consider A = 0, B = 0 A = 1, B = 0 A = 0, B = 1
Consider again A=1 B =1 26/12/2018 ELEC 2607 Lecture 13 & 14:

17 26/12/2018 ELEC 2607 Lecture 13 & 14:

18 (complement = ‘) Wrong colors in map Extra examples on this required
26/12/2018 ELEC 2607 Lecture 13 & 14:

19 26/12/2018 ELEC 2607 Lecture 13 & 14:

20 26/12/2018 ELEC 2607 Lecture 13 & 14:

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22 See slide 12 and extra notes Circuits are only representative
For DYNAMICS See slide 12 and extra notes Circuits are only representative They need the delays in lower path Delays in lower path do not change output expression 26/12/2018 ELEC 2607 Lecture 13 & 14:

23 Applying simplification rules or expanding the function
CHANGES THE CIRCUIT Be careful 26/12/2018 ELEC 2607 Lecture 13 & 14:

24 Applying DeMorgan’s Law
IS OK 26/12/2018 ELEC 2607 Lecture 13 & 14:

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31 Good place to take a break
Good place to start up again 26/12/2018 ELEC 2607 Lecture 13 & 14:

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39 Error: Should be 0 26/12/2018 ELEC 2607 Lecture 13 & 14:

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