Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

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

A small cabin needs 24-kwh per day all of which is used in

A small cabin needs 2.4-kWh per day, all of which is used in the evening from 7 pm to 11 pm. If you decide to supply only enough 12-V battery storage to cover each evening, what should the minimum rated A-hr of batteries ...

The rate of shear work per unit volume is given by the

The rate of shear work per unit volume is given by the product tv. For a parabolic velocity profile in a circular tube (see given Example), determine the distance from the wall at which the shear work is maximum. Example ...

Consider a nonlinear elastic uniaxial bar element under tip

Consider a nonlinear elastic uniaxial bar element under tip force F = 100 N shown in Figure. The stress-strain relation is given in terms of Cauchy stress and engineering strain in the deformed geometry: σ11 = Eε 11 . Us ...

1 assume alice needs to send a confidential signed document

1. Assume Alice needs to send a confidential signed document to 100 people. How many keys does Alice need to use to prepare 100 copies if she uses asymmetric-key confidentiality? Explain. 2. In a club with 50 members, ho ...

1 if the plate shown is inclined at an angle as shown what

1. If the plate shown is inclined at an angle as shown, what are the forces F x  and F y  necessary to maintain its position? The flow is frictionless. 2. A steady, incompressible, frictionless, two-dimensional jet of fl ...

1 why is it necessary to have the minus sign associated

1. Why is it necessary to have the minus sign associated with the time rate of increase of magnetic flux on the right side of Faraday's law? 2. What is electromotive force? 3. What are the different ways in which an emf ...

1 state the relationship between polarization current

1. State the relationship between polarization current density and electric field intensity. How is it taken into account in Maxwell's equations? 2. What is the revised definition of D? 3. State the relationship between ...

For each of the following baseband signals i mt cos 1000t

For each of the following baseband signals (i) m(t) = cos 1000t, (ii) m(t) = 2cos 1000t + cos 2000t, and (iii) m(t) = cos 1000t cos 3000t: a. Sketch the spectrum of m(t). b. Sketch the spectrum of the DSB-SC signal m(t) ...

The performance of a journal bearing around a rotating

The performance of a journal bearing around a rotating shaft is a function of the following variables: Q, the rate of flow lubricating oil to the bearing in volume per unit time; D, the bearing diameter; N, the shaft spe ...

1 consider three equally spaced sources of strength m

1. Consider three equally spaced sources of strength m placed at (x, y) = ( a, 0),(0, 0), and (a, 0). Sketch the resulting streamline pattern. Are there any stagnation points? 2. Sketch the streamlines and potential line ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

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.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro