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Neutral and Mutually Exclusive Function
Before see the chapter please follow previous chapter: Canonical form of SOP and POS
Neutral function:
One function is called neutral function if number of minterm and number of maxterm is same.
Number of minterms = Number of maxterms.
Example:
| A | B | C | Y |
0 → 1 → 2 → 3 → 4 → 5 → 6 → 7 → | 0 0 0 0 1 1 1 1 | 0 0 1 1 0 0 1 1 | 0 1 0 1 0 1 0 1 | 1 0 1 0 0 1 0 1 |
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In that case,
Number of minterms = Number of maxterm = 04
So, it is a neutral function.
Mutually Exclusive Function:
In a function if a term and complement of this term present at the same time, this function is called mutually exclusive function.
Example:
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From the truth table we can define mutually exclusive like:
| A | B | C | Y |
0 → 1 → 2 → 3 → 4 → 5 → 6 → 7 → | 0 0 0 0 1 1 1 1 | 0 0 1 1 0 0 1 1 | 0 1 0 1 0 1 0 1 | 1 0 1 0 0 1 0 1 |
So, in the above truth table the mutually exclusive terms are:
(0, 7), (1, 6), (2, 5) and (3, 4)
Now if we write the SOP (minterms) from the above truth table:
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Above function contains two mutually exclusive terms (0,7) and (2, 5).
So, this function Y(SOP) is called mutually exclusive function.
