## CSE370 Assignment 3

### Distributed: 11 April 2007 Due: 18 April 2007

1. Katz/Borriello, Contemporary Logic Design 2e, remainder of Chapter 2
2. Katz/Borriello, Contemporary Logic Design 2e, Chapter 3, sections 3.1 and 3.2 (pp. 93-114)

#### Exercises:

1. CLD-II, Chapter 2, problem 2.31, parts a and b
2. CLD-II, Chapter 2, problem 2.35.
3. CLD-II, Chapter 2, problem 2.44.
4. CLD-II, Chapter 3, problem 3.3, part a,b,c.
5. CLD-II, Chapter 3, problem 3.4, part b.

a) Translate this circuit directly to a Boolean expression that computes the same function.
b) Express this function as a canonical Sum of Products.
c) Express this function as a canonical Product of Sums.
d) Using a K-map, find the minimal Sum of Products expression for this function.
e) Using a K-map, find the minimal Product of Sums expression for this function.
f) Draw the circuit corresponding to the minimal Sum of Products representation.

7.

a) Redraw this circuit using the deMorgan equivalent for gates where appropriate, so that the function computed can be read directly from the circuit diagram. (Meaning you shouldn’t have negated inputs or outputs on your gates, but you can feed inverted signals to the circuit.)
b) Find the minimal Sum of Products form for this function.
c) Draw the circuit for this minimal Sum of Products using only NAND gates (and inverters).

#### Rationale:

• To apply minimization techniques using Karnaugh maps.
• To gain experience minimizing circuits