How to Calculate Total Sum of Products (TSOP)?

Short tutorial on How to Calculate Total Sum of Products (TSOP).

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

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