Question

Note 1: Write on both sides of the paper to save some trees and also stationery for the department Note 2: In the answers, you need to show the work out: jotting down the answers simply will not do Note 3: Don't scribble answers on this sheet Note 4: This page should be submitted along with your answers; don 'Y take it away Q.1. Find the minimum POS form of the following switching function using Karnaugh map: f(lr. x.nz)2m(1.3.5.67,1 3,14) + d(8,10,12) (6 Marks) Hint: Your solution will be a product of 4 factors. Three of these factors will be summations of 2 tariables each and 1 factor will be summation of 3 variables. The variables could be in either true or complement form. Q2. Find the minimum POS form of the switching function given in Q.1 using the Quine- McClusky's method and verify that your answer tallies with the one you got in your answer to Q.1. using Karnaugh's map. (6 Marks) Hint 1:You can either start with zeros of the function and directly get the combinations of the mas terms or find the SOP solution of f (NOT and invert it using De Morgan's laus to get the POS expression Hint 2: The don't care terms are used for combining terms, but don't appear in the columns of PI- chart because you are not obliged to cover don't-cares. Q.3. Using an 8-way multiplexer (with 3 control and 8 data input lines, and 1 data output line), show how the switching function in Q.1 (without don't-cares) this realized by appropriately connecting 0 or I or d or d. 3 Marks)

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Answer 1

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