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Chapter: Digital Electronics : Minimization Techniques and Logic Gates

Product-of-Sums (POS) Form

Two or more sum terms multiplied by Boolean multiplication.

PRODUCT-OF-SUMS (POS) FORM:

 

               Two or more sum terms multiplied by Boolean multiplication

 

               Any expression -> POS using Boolean algebra

 

               Examples:

 

(A+B)(B+C)(A+B+C)

 

1. PRODUCT-OF-SUMS (POS) FORM:

 

               Conversion to POS Form:

 

*              AB+ B(C + D) = B(A + C + D)

 

*              AB+ ACD = A(B + CD) = A(B + C)(B + D)

 


 

2. IMPLEMENTATION OF POS EXPRESSION:

 

(A+B)(B+C+D)(A+C)

 

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Digital Electronics : Minimization Techniques and Logic Gates : Product-of-Sums (POS) Form |


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