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# CS302 Assignment no:1 Fall 2016

Assignment No. 01
Semester: Fall  2016
Digital Logic Design – CS302

Topics Covered: Number systems to

Boolean Algebra & Logic Simplification

Total Marks: 20

Due Date: 14 Nov, 2016

Objectives:

To understand different Number Systems with its conversion from one to another and Boolean Algebra with its implementation with Logic Gates.

Instructions:

It should be clear that your assignment will not get any credit if:

• The assignment is submitted after due date.
• The assignment is submitted via email.
• The assignment is copied from Internet or from any other student.
• The submitted assignment does not open or file is corrupt.
• It is in some format other than .doc/docx.

Note: All types of plagiarism are strictly prohibited.

For any query about the assignment, contact at CS302@vu.edu.pk

Important!

You have to provide all the steps of processing in all questions otherwise, marks will be deducted.

Question No. 01                                                                                                                          5 Marks

In the binary number system, we represent numeric values using two different symbols which is typically 0 and 1. Suppose we have a tertiary number system, which consists of three different symbols i.e. 0, 1 and 2. You have to perform the following operation defined in a given expression where we have to subtract a tertiary number from a decimal number and have to express the output in a binary number system.

(576)10 – (110002)3 = (_?_)2

Question No. 02 (a)                                                                                                                     7 Marks

Suppose we have a digital circuit expressed through the following truth table. You have to write simplified Boolean expression using Boolean Algebra.

Note: You have to write the Boolean Algebra Rule name for each simplification step.

 A B C D Output=Y 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0

Question No. 02 (b)                                                                                                                    8 Marks

Draw the circuit diagram for the simplified Boolean expression obtained from Question No. 02 (a).

BEST OF LUCK

Views: 11267

### Replies to This Discussion

Dear Students Don’t wait for solution post your problems here and discuss ... after discussion a perfect solution will come in a result. So, Start it now, replies here give your comments according to your knowledge and understandings....

mn ne 2nd question kr lia hai..pr confrm ni hai

can u share ,Is ki smajh nhi a rhi.

first or last expression send post kr dn.. ap chk kr dena

Attachments:

CS302

Attachments:

i thnk yeh circuit lgt hai..blky waqai ghlt hai.. mtlb k jo end p simplified expression aye g us ka circuit bnana hai na k first wali expression ka

sir ye to multiplexer h with abel code past assignment

B'C'+A'BD ka circuit bnana hai na?

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