ECE 27000- Final Exam Guide - Comprehensive Notes for the exam ( 75 pages long!)

• School: Purdue University
• Department: Electrical & Computer Engr
• Course: ECE 27000
• Professor: Meyer

Document Summary

O i (cid:272)a(cid:374) tell that w * y" + x" * y" + w * x" * )" + w" * x * y + y" * ) The key is that instead of grouping 1s we are going to group 0s. We know how to apply de morga(cid:374)"s la(cid:449) to get f. that"s (cid:449)hat (cid:449)e do. There is a non-esse(cid:374)tial pri(cid:373)e i(cid:373)pli(cid:272)a(cid:374)t. but all the zeros are (cid:272)o(cid:448)ered so (cid:449)e do(cid:374)"t (cid:374)eed the (cid:374)o(cid:374)- essential prime implicant here at all. Now i can write the expression: f = (w" + y"(cid:895) * (cid:894)x + y"(cid:895) * (cid:894)w + x" + )(cid:895) after (cid:449)e apply demorga(cid:374)"s la(cid:449). Now the circuit implementation has 10 inputs and 4 outputs which is a cost of 14 and demorgans law does(cid:374)"t i(cid:374)flue(cid:374)(cid:272)e the (cid:272)ost. O if you (cid:272)o(cid:373)pare the (cid:1006), you see that this has a less (cid:272)ost tha(cid:374) the sum of product realizations.