Short tutorial on How to Calculate Total Sum of Products (TSOP).
Total Sum of Product (TSOP) is widely used for the canonical form that is a disjunction (OR) of minterms.
This short tutorial will help you explain how to calculate the total sum of products (TSOP) with a neat and simple example.
Formula:
Sum of Products (SOP) = N/x = y
Total Sum of Products (TSOP) = y1 + y2 + y3....
Example:
Consider a statistical data 1,3,5. Calculate Total Sum of Products (TSOP).
Given:
Statistical Data = 1,3,5
Total Data = 3
To Find:
Total Sum of Products TSOP
Solution:
Applying the values in the formula,
1/1 = 1 = 1x1 = 1
3/1 = 3 = 1x3 = 3
3/2 = 1 = 2x1 = 2
3/3 = 1 = 3x1 = 3
Sum of Products = 3 + 2 + 3 = 8
5/1 = 5 = 1x5 = 5
5/2 = 2 = 2x2 = 4
5/3 = 1 = 3x1 = 3
5/4 = 1 = 4x1 = 4
5/5 = 1 = 5x1 = 5
Sum of Products = 5 + 4 + 3 + 4 + 5 = 21
Total Sum of Products (TSOP) = 1 + 8 + 21
Total Sum of Products (TSOP) = 30