{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIDTERMw05-ANS

# MIDTERMw05-ANS - ECSE-323 Electrical and Computer...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Question 1 :Boolean Logic Theory (10 points) (5 points) a) Find P and Q such that A C + B f8e5 C + f8e5 B f8e5 C D = B P + f8e5 B Q. (5 points) b) Find X and Y such that A C + B f8e5 C + f8e5 B f8e5 C D = (A + X) ( f8e5 A + Y). NOTE: To obtain full mark it is mandatory to explain clearly the steps followed. ____________________________________________________ _ ANSWER a) The Shannon Expansion with respect to B gives: B [AC + f8e5 C] + f8e5 B [AC + f8e5 C D]. Thus P = [AC + f8e5 C] and Q = [AC + f8e5 C D. b) Using the K-map of F , we find the expression for f8e5 F f8e5 F = f8e5 AC + f8e5 B f8e5 C f8e5 D. Expanding f8e5 F with respect to A, we obtain f8e5 F = f8e5 A [C + f8e5 B f8e5 C f8e5 D] + A [ f8e5 B f8e5 C f8e5 D ]. Using the DeMorgan’s Theorem on f8e5 F ,we obtain: ____________ ________ F = (A + [C + f8e5 B f8e5 C f8e5 D] ) ( f8e5 A + [ f8e5 B f8e5 C f8e5 D ] ), which is of the form (A + X ) ( f8e5 A + Y). Thus: X = f8e5 C B + f8e5 C D and Y = B + C + D. 2
Question 2 : CMOS Circuit Technology (15 points) Consider the function of 4 variables F(A,B,C,D) = Σ m (3,5,6,7,9,10,11,12,13,14,15). Design a CMOS circuit that produces the function

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 10

MIDTERMw05-ANS - ECSE-323 Electrical and Computer...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online