Difference between revisions of "CSC270 Homework 2 2011"

From dftwiki3
Jump to: navigation, search
(Problem #1)
(Problem #1)
Line 12: Line 12:
 
=Problem #1=
 
=Problem #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.
+
* 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.
  
 
<br />
 
<br />
 
<center>[[Image:notnotand.png]]</center>
 
<center>[[Image:notnotand.png]]</center>
 +
<br />
 +
 +
* Make sure you explain why this gate is, or is not, a universal gate.  A yes or no answer will not get any credit!
 +
 +
=Problem #2=
 +
 +
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 ).
  
 +
<br />
 +
<center>[[File:CSC270LogicCircuitHomework1.jpg|300px]]</center>
 
<br />
 
<br />
  
* Make sure you explain why this gate is, or is not, a universal gate.  A yes or no answer will not get any credit!
+
 
 +
=Problem 3=
 +
<br />
 +
<center>
 +
[[Image:CSC270_gates3.gif | 200px]]
 +
</center>
 +
<br />
 +
* What is the function Q( A, B, C ) implemented by the circuit shown above, where the gates are NAND gates ?
 +
* What is the diagram of Q using only NOT, OR, and AND gates?
 +
* What is the '''minterm canonical form''' of Q?
 +
* What is its minterm canonical form?
 +
 
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
[[Category:CSC270]][[Category:Homework]]

Revision as of 15:48, 3 February 2011

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


Page under construction!
UnderConstruction.jpg

This assignment deals with minterms, Maxterms, Nands and Nors.

Problem #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.


Notnotand.png


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

Problem #2

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 ).


CSC270LogicCircuitHomework1.jpg



Problem 3


CSC270 gates3.gif


  • What is the function Q( A, B, C ) implemented by the circuit shown above, where the gates are NAND gates ?
  • What is the diagram of Q using only NOT, OR, and AND gates?
  • What is the minterm canonical form of Q?
  • What is its minterm canonical form?