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Solved CSC 244 Homework 2 Boolean Algebra, Sum-of-Products, and Product-of-Sums

Solved CSC 244 Homework 2 Boolean Algebra, Sum-of-Products, and Product-of-Sums

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a) b) c)
A B Y
0 0 0
0 1 1
1 0 1
1 1 1
A B C Y
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 0
1 1 0 1
1 1 1 0
A B C Y
0 0 0 0
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 1

 

  1. For the above truth tables
    1. Write in sigma notation
    2. Write in canonical sum-of-products form
  • Draw the schematic for (b)

 

 

 

 

 

 

 

 

 

  1. For the above truth tables
    1. Write in Pi notation
    2. Write in canonical product of sums form
  • Draw the schematic for (a)

 

 

  1. For truth table c minimize using Boolean algebra theorems. Label each theorem/step used.
    1. Draw the schematic
    2. Compare the cost to the canonical form

 

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