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EE
Digital Systems Design
Burak ÇEVİK 041702025 / Yağız BALTACI 041702009
MEF University 24/10/
Teaching Assistant: Diren Erdem Aydın
Teaching Assistant: Ayşenaz Ezgi Ergin
Instructor: Dr. Şuayb Ş. Arslan
1-)Consider the following Boolean function. F(a, b, c, d) = b(ad0 + c(d + a) 0 ). (1) Find the SOP and POS forms of F. Simplify F as much as possible. Which form (SOP or POS) is easier to implement? Please compare them in terms of V /L, G and GN metrics defined in class.
a b C d SOP POS 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1
SOP = a’bcd’ + abc’d’ + abcd’
POS = (a’+b’+c’+d’) (a’+b’+c’+d) (a’+b’+c+d’) (a’+b’+c+d) (a’+b+c’+d’) (a’+b+c’+d) (a’+b+c+d) (a+b’+c’+d’) (a+b’+c’+d) (a+b’+c+d’) (a+b’+c+d) (a+b+c’+d) (a+b+c+d)
(V = 12) (G = 15 )(GN = 18)
Diagram of F
2-) Show that the optimum implementation of F costs the same as implementing the following function. Find the values of V /L, G and GN to quantify the complexity of the circuits.
G(a, b, c, d) = ab’(c + d)
(V = 12) (G = 15) (GN = 18)
board. The input should also be connected to the 7-segment LED display on the prototyping board for verification purposes.
Fill the table shown in Fig. 1. You have to design your circuit
- using any minimum number of Gates.
- using only minimum NAND Gates
A0.A
A2.A3 0.0 1 0 X 1
0.1 0 1 X 1
1.1 1 1 X X
1.0 1 1 X x
K-Maps of A = B3 + B1 + B2’B0’ + B2 B
B0.B
B2.B3 0.0 1 1 1 1
K-Maps of B = B2’B3’ + B2’B0 B1 + B0’B1’B2’ + B0’ B2 B3’
C0.C 0.0 0.1 1.1 1. C2.C3 0.0 1 0 1 1 0.1 1 0 0 1 1.1 0 0 0 0 1.0 1 1 1 1
K-Maps of C = C3’C2 + C2’C0’C1’ + C2’C3’C0 + C2’C0 C1’
D0.D
D2.D3 0.0 1 1 1 0
H
K- Maps of D = D0’D1’D2’ + D2’D3’D1 + D3’D0’D1 + D2 D3’D0 D1’
E0.E
E2.E3 0.0 1 1 0 0
K-Maps of E = E0’E1’E2’ + E0’E1 E3’
F0.F
F2.F3 0.0 1 0 0 0
K-Maps of F =F0’F1’F2’ + F2’F3 F1’ +F2 F3’F0’ + F2 F3’F1’
G0.G
G2.G3 0.0 0 1 1 1
1.1 1 0 0 X
1.0 1 1 0 X
K-Maps of G = G0 + G2 G3’ + G1 G2’ + G2 G1’
2.5-) Draw digital logic circuits for the questions 2.1 and 2.4 in Multisim and generate some test cases to evaluate the accuracy of your logic implementation. For 2.4, you can use seven segment display available in Multisim. If it accepts binary input (4-bits) please use a decoder to convert your output to appropriate binary coded signal
Circuit on Breadboard
The purpose of the experiment is to understand how the basic gates work general.and also this experiment is one of the basic experiment. at the beginning of the experiment, we research Gates datasheet on the internent. I have 4 digits. These are S, S’, A and B. The formula is SB+S’A we use 1 INVERTER Gate 1 AND Gates and 1 OR Gate. At the end of the experiment, we have given an exit with a cable.
2-)Implement the circuit of 2.3 using quad MUX component 74157S. Also use 74LS04 (or 7404) if need be. Write down how many ICs you use to implement the function.
Circuit on multism
Circuit on breadboard
The purpose of the experiment is to understand how the multiplexer gate work general.. At the begin of the experiment, we research datasheet of multiplexer on the internet. We have 4 digits on breadboard, these are B,0,C,1 and also we have 2 select input on breadboard. In this experiment, we use 3 multiplexer Gates. At the end of the experiment, we have given an exit with a cable.
3.2-)Implementing all seven segments of the circuit 2.4 might be too complex on breadboard. Let us implement segments A and G using minimum number of ICs. Determine and test the input sequences that will display 1, 0, 4, 8, 9 in order on the 7-segment LED display. Specify in which of these number will A and G segments must be turned on.
Circuit on multism
Circuit on breadboard
G0.G 0.0 0.1 1.1 1. G2.G3 0.0 0 1 1 0 0.1 1 0 0 1 1.1 0 0 0 0 1.0 1 1 0 1
The purpose of the experiment is to understand how the gates work general.. Before the experiment we drawed Karnaugh Maps for G. At the begin of the experiment, we research datasheet of multiplexer on the internet We have 4 digits, these are G0, G1, G2, G3. In the experiment, we use 3 Gates, these are INVERTER AND OR Gates. At the end of the experiment, we have given an exit with a cable.
Discussion of Experiment Results =
1-) Please discuss the results of the experiments. Generate three questions on your own and provide the right answers for them.
In this lab, we did first experiment so it is not too hard.However pre-lab is a little hard. First question is basic experiment and we learned how to use Gates and coonnected on breadboard. Question 2 is harder than first question also we used multiplexer. Last question, we used truth table and we did A and G on truth table.
a-) Before the lab, Should we do something? İf yes, what should we do?
Before the lab, teacher is sharing a paper before the lab on the blackboard. We study pre-lab section on paper
b-) There are lots of legs on gate. How can you understand, this is input leg and this is output gate?
Before start the experiment we research datasheet of gate on internet
c-) How did you do question 3, can you explain briefly?
First of all,
2-) A bill of materials (sometimes bill of material, BOM or associated list) is a list of the raw materials, sub-assemblies, intermediate assemblies, sub-components, extra parts and the quantities of each needed to manufacture/implement a certain functionality or a product. Generate and discuss the BOM for this laboratory.
We did experiments on breadboard so
Breadboard =
0R Gate (SN74F32N) =
AND Gate (SN74ACT08) =
INVERTER Gate (SN74LVC1G04) =
Yağız = Researching and 3.2 A – G explaing.
We did drawing multism, doing circuit on breadboard and other task we did together.
Burak’s signature =
Yağız’s signature =
REFERENCES
https://mazharlaliwala.wordpress.com/ http://www.datasheetdir.com/ https://www.edn.com/electronics-blogs/scope-guru-on-signal-integrity/4311943/ Measuring-propagation-delay-in-a-device https://www.sciencedirect.com/topics/engineering/propagation-delay
