Difference between revisions of "CSC270 Midterm Exam Prep"

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(Created page with "--~~~~ ---- * Assume a boolean function f = Σ(1,3,5). Give the maxterm canonical form of f. * Implement f above with NANDs only. With NORs only. * Implement the function...")
 
 
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--[[User:Thiebaut|D. Thiebaut]] 14:33, 28 February 2011 (EST)
 
--[[User:Thiebaut|D. Thiebaut]] 14:33, 28 February 2011 (EST)
 
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Below are typical questions that have been taken from previous midterm exams. 
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* Assume you have a boolean function f defined as:
  
* Assume a boolean function f = &Sigma;(1,3,5). Give the maxterm canonical form of f.
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:::  f = &Sigma;(1,3,5).
  
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: Give the maxterm canonical form of f.
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<br />
 
* Implement f above with NANDs only. With NORs only.
 
* Implement f above with NANDs only. With NORs only.
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<br />
  
 
* Implement the function below with a 4-to-16 decoder. Be efficient in your design.
 
* Implement the function below with a 4-to-16 decoder. Be efficient in your design.
  
 
::: f = &Sigma;(0,1,3,4,5,6,7,8,9,10,11,12,14)
 
::: f = &Sigma;(0,1,3,4,5,6,7,8,9,10,11,12,14)
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<br />
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<br />
  
 
* Implement a 3-to-8 decoder with several 2-to-4 decoders. You may assume that the decoders have
 
* Implement a 3-to-8 decoder with several 2-to-4 decoders. You may assume that the decoders have
 
enable inputs, and you are free to choose active-high or active-low signals.
 
enable inputs, and you are free to choose active-high or active-low signals.
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<br />
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<br />
  
 
*  What is the boolean representation of the function f shown in the figure below? Express f in its
 
*  What is the boolean representation of the function f shown in the figure below? Express f in its
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<center>[[Image:CSC270MidtermPrep1.png]]</center>
 
<center>[[Image:CSC270MidtermPrep1.png]]</center>
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<br />
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<br />
  
 
* What is the state diagram of the sequential circuit shown below, if D2 is set to 1 always?  If D2 is set to
 
* What is the state diagram of the sequential circuit shown below, if D2 is set to 1 always?  If D2 is set to

Latest revision as of 07:09, 1 March 2011

--D. Thiebaut 14:33, 28 February 2011 (EST)


Below are typical questions that have been taken from previous midterm exams.

  • Assume you have a boolean function f defined as:
f = Σ(1,3,5).
Give the maxterm canonical form of f.


  • Implement f above with NANDs only. With NORs only.


  • Implement the function below with a 4-to-16 decoder. Be efficient in your design.
f = Σ(0,1,3,4,5,6,7,8,9,10,11,12,14)



  • Implement a 3-to-8 decoder with several 2-to-4 decoders. You may assume that the decoders have

enable inputs, and you are free to choose active-high or active-low signals.

  • What is the boolean representation of the function f shown in the figure below? Express f in its

simplest form.

CSC270MidtermPrep1.png



  • What is the state diagram of the sequential circuit shown below, if D2 is set to 1 always? If D2 is set to

0 always?

CSC270MidtermPrep2.png