Your logic function for this assignment is to be derived from your own student number. The number 1224583 will be used as an example as to how you should derive your function and examples are given in brackets for this number. You should however use YOUR OWN NUMBER. If you do not then you will be awarded zero marks

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 21^st 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 example 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 1^st canonical form of your function. In this example, the resulting 4-variabled function would be

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

 

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

2 Obtain the full 1^st 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 2^nd canonical form of your function.

4 Obtain the full 2^nd 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 1^st canonical form (AND/OR/NOT)  of your function and draw its circuit diagram. (NOTE.  If at this point your personal function simplifies to a single variable or a single gate function, contact me and I will give you a more challenging function.)

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

8 . Use truth table equivalence to show that your minimal 1^st and 2^nd 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 1^st canonical form shorthand equation in Question 1, to be don't care states. (NOTE: Once these don't cares have been defined they remain don't care inputs for questions 12, 13 and 14  of this assignment).  Obtain the minimal 1^st 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 2^nd canonical form (AND/OR/NOT) using the original terms and where appropriate, the don't care conditions. Draw the circuit diagram.

Posted Date: 3/21/2013 2:55:19 AM | Location : United States

Ask an Expert

Related Discussions:- Digital systems and microprocessors, Assignment Help, Ask Question on Digital systems and microprocessors, Get Answer, Expert's Help, Digital systems and microprocessors Discussions

Write discussion on Digital systems and microprocessors
Your posts are moderated

Write your message here..

Related Questions

How semaphores implement mutual exclusion, How semaphores implement mutual ... How semaphores implement mutual exclusion? Mutual-exclusion implementation along with semaphores: Assume that there are n-processes and they share a semaphore, mutex (stan

What is swimlane, What is swimlane? In business model, it is often help... What is swimlane? In business model, it is often helpful to know which human organization is responsible for activity. Show the partition of activities into columns and lines.

A subroutine can contain nested form and endform blocks, A subroutine can c... A subroutine can contain nested form and endform blocks. False.

What functions connect( )& accept( ) call in socket interfac, What function... What functions connect( ) and accept ( ) call in Socket interfacing? connect() system call: Clients use procedures connect to initiate connection with an exact server. The

Explain fixed point representation, Q. Explain Fixed Point Representation? ... Q. Explain Fixed Point Representation? The fixed-point numbers in binary has a sign bit. A positive number has a sign bit 0 whereas negative number has a sign bit 1. In fixed-p

Levels of parallel processing, Levels Of Parallel Processing Depending ... Levels Of Parallel Processing Depending upon the difficulty under consideration, parallelism in the answer of the problem may be achieved at dissimilar levels and in different

Serial port communication, The 68HC11F1 has two types of serial ports namel... The 68HC11F1 has two types of serial ports namely asynchronous (SCI) and synchronous (SPI). The most common form of communication device used in control is the SCI as this provides

Rectifier output with fitters, Rectifier output with fitters: When hal... Rectifier output with fitters: When half-wave and full-wave rectification suffice to deliver a type of DC output, neither produces constant-voltage DC (direct current). To gen

Inspirations of artificial intelligence, Inspirations of artificial intelli... Inspirations of artificial intelligence: Artificial Intelligence research can be easily understood by following example in terms of how the following question has been answere

State the term- $display and $write, State the term- $display and $write ... State the term- $display and $write $display and $write two are the same except which $display always prints a newline character at the end of its execution.