CSC270 Homework 2 2011

--D. Thiebaut 15:40, 3 February 2011 (EST)

---

This assignment deals with minterms, Maxterms, Nands and Nors. You can work on this assignment in pairs. The due date is Friday 2/11 at midnight.

Problem #1

Question 1

Is the gate below a universal gate? It is an AND gate that inverts its input. If a and b are on the other side of the left red wires, the output will be not a and not b.

Make sure you explain why this gate is, or is not, a universal gate. A simple yes or no answer will not get any credit!

Question 2

Is the XOR gate (Y =a'.b + a.b' ) a universal gate? Why or why not?

Problem #2

Question 1

Implement the circuit of Homework #1 with NANDs only. One way to do so is to figure out a way to rewrite the expression for the circuit is such a way that it is a combination of terms of the form not( X and Y ):

 _____
 X . Y

Problem #3

Question 1

What is the function Q( A, B, C ) implemented by the circuit shown above, where the gates are NAND gates ?

Question 2

What is the diagram of Q using only NOT, OR, and AND gates?

Question 3

What is the minterm canonical form of Q?

Question 4

What is its Maxterm canonical form?

Submission

• Store your answers in a pdf called hw2.pdf that you can rsync to your 270b-xx account. Once in your account, simply submit it as follows:

    rsubmit hw2 hw2.pdf

• Note: if you are experiencing problem with the transfer to your account, then email me your file. In this case, call your file 270b-xx_hw2.pdf, please, where you will replace xx with your account number.