+61-413 786 465

info@mywordsolution.com

## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

Assignment: Combinational Logic

Your logic function for this assignment is to be derived from your own student number. The number 1224583 will be used as an ex as to how you should derive your function and exs are given in brackets for this number. You should however use YOUR OWN NUMBER.

Take your student number (1224583), and add your date of birth, using 2 digits for the day, 2 for the month and the last 2 digits of the year. If your birthday is 21st January 1993, then the number you should add, is 210193, giving you 1434776. If you do not wish to use your own birthday date, use a friend’s. Place the different digits in ascending order (1, 3, 4, 6, 7).

Add 5 to each of the individual digits of your ascending set (6, 8, 9, 11, 12,) and include any new numbers, starting from the highest in your set of ascending numbers until you have a set of eight numbers. In this ex you need three more numbers (9, 11, 12) to give the set (1, 3, 4, 6, 7, 9, 11, 12,).

YOU need a set of EIGHT ascending numbers in the range 0 to 15. If your set still contains LESS than eight numbers, add 2 to the individual digits of your original ascending set, look for new digits, and continue until you have a set of eight numbers. This is the set of terms in the 1st canonical form of your function. In this ex, the resulting 4-variabled function would be:

F  =  f(ABCD)  = ∑(1, 3, 4, 6, 7,  9, 11, 12)

1) prepare down the shorthand 1st canonical form equation of your own personal function derived as above.

2) Obtain the full 1st canonical form Boolean equation of your function in AND/OR/NOT form and draw its gate-level circuit diagram.

3) Obtain the shorthand equation of the 2nd canonical form of your function.

4) Obtain the full 2nd canonical form Boolean equation of your function in AND/OR/NOT form and draw its gate-level circuit diagram.

5) Enter your function on a fully labelled K-Map.

6) Obtain the minimal 1st canonical form (AND/OR/NOT)  of your function and draw its circuit diagram.

7) Obtain the minimal 2nd canonical form (AND/OR/NOT) of your function and draw its circuit diagram.

8) Use truth table equivalence to show that your minimal 1st and 2nd canonical forms do perform the same function.

9) Obtain the minimal NAND version of your function and draw its circuit diagram.

10) Obtain the minimal NOR version of your function and draw its circuit diagram.

11) Select at random, 4 terms NOT included in your original 1st canonical form shorthand equation in problem 1, to be don’t care states. (NOTE: Once these don’t cares have been defined they remain don’t care inputs for problems 12, 13 and 14  of this assignment).  Obtain the minimal 1st canonical form (AND/OR/NOT) using the original terms and, where appropriate, the don’t care conditions. Draw the circuit diagram.

12) Obtain the minimal 2nd canonical form (AND/OR/NOT) using the original terms and where appropriate, the don’t care conditions. Draw the circuit diagram.

13) Obtain the minimal NAND form using the original terms and where appropriate, the don’t care conditions. Draw the circuit diagram.

14) Obtain the minimal NOR form using the original terms and, where appropriate, the don’t care conditions. Draw the circuit diagram.

15) Assess all the circuits you have designed so far, and make a recommendation as to which circuit would be best for mass production.

16) Assuming that all the logic you have been using so far, is positive coded logic (0 volts represents binary 0 and 5 volts represents binary1), determine the logic function the minimal 1st canonical form circuit obtained in problem 6 performs if negative logic coding is used. (0 volts represents binary 1 and 5 volts represents binary 0). You should obtain the voltage truth table of the circuit, recode it for negative logic and obtain its minimal 1st canonical form. Draw the circuit diagram.

Devise a rule to obtain the truth table of the negative logic coded system directly from the positive coded truth table WITHOUT having to generate the voltage truth table.

17) Compare the layouts of the circuits derived in problem 6 and problem 16 and comment on any anomalies. (If in the unlikely event that they have identical shapes, see me, as you have a symmetrical circuit).

18) Compare the circuits derived in problem 16 and problem 7 and derive a design rule to obtain the exact equation, the circuit performs when the logic coding changes using ONLY the original equation and NO truth tables.

19) Check the circuits in problem 6 and problem7 for timing hazards and if necessary modify the circuits to remove them, giving the Boolean equations for the hazard-free circuits

20) Use Boolean algebra to convert the minimal 1st canonical form circuit in problem 6 to a NOR only logic circuit. Draw its circuit diagram and give two reasons why this design strategy would NOT be used in custom logic design.

Electrical & Electronics, Engineering

• Category:- Electrical & Electronics
• Reference No.:- M9397

Have any Question?

## Related Questions in Electrical & Electronics

### 1 goalin this project you will solve a non-trivial design

1 Goal In this project you will solve a non-trivial design problem explicitly using the divide-and-conquer (D&C) approach. The main reason for using the D&C approach is the ease of the design process and the streamlined ...

### Questions -problem 1 - solve for i0 in fig using mesh

Questions - Problem 1 - Solve for i 0 in Fig. using mesh analysis. Problem 2 - Use mesh analysis to find current i 0 in the circuit. Problem 3 - Use mesh analysis to find v 0 in the circuit. Let v s1 = 120 cos(100t+ 90 o ...

### Problems -problem 1 - find v0 in the op amp circuit of fig

Problems - Problem 1 - Find v 0 in the op amp circuit of Fig. 1. Problem 2 - Compute i 0 (t) in the op amp circuit in Fig. 2 if v s = 4 cos(10 4 t). Problem 3 - If the input impedance is defined as Z in = v s /I s , find ...

### Problem 1 a two-phase servomotor has rated voltage applied

Problem 1: A two-phase servomotor has rated voltage applied to its excitation winding. The torque speed characteristic of the motor with Vc = 220 V, 60 Hz applied to its control phase winding is shown in Fig.1. The momen ...

### Question -i a star-connected three-phase synchronous

Question - (i) A star-connected, three-phase synchronous induction motor takes a current of 10 amps from a 415 volt supply at unity power factor when supplying a steady load. If the synchronous reactance is 5 ohms/phase ...

### Question 1for the ce amplifier in figure 1 given the

Question 1 For the CE amplifier in Figure (1), given the following component parameters: Parameter Value β DC , β AC 150 V BE 0 . 7 V V CC 12 V R C 820 ? R E 1 100 ? R E 2 220 ? R 1 20 k? R 2 5 . 2 k? R L 100 k? C 1 , C ...

### Summative assessmentin 2017 sej101 assessment will consist

Summative Assessment In 2017 SEJ101 assessment will consist of nine tasks that will develop a portfolio of your assessed work. Throughout the trimester you will have the opportunity for feedback on all nine tasks before ...

### Problem 1given a sequence xn for 0lenle3 where x0 1 x1 1

Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Problem # 2: Use inverse DFT and apply it on the Fourier ...

### Discuss the role of load factor on the cost of electrical

Discuss the role of load factor on the cost of electrical energy.

### A four-pole star-connected squirrel-cage induction motor

A four-pole, star-connected, squirrel-cage induction motor operates from a variable voltage 50 Hz three-phase supply. The following results were obtained as the supply voltage was gradually reduced with the motor running ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As