Page 71 - Handout Digital Electronics

Figure 7: Tabular method minimizing chart

The x‟s are essential implicates. The implicants marked  are most essential which must always feature
in the final answer.
From the above chart, identify essential implications, for example BD is an essential primimplicationte as
it
is the only prime implication that covers the minterm decimal 15 and includes 5, 7 and 13. BD is
also, an essential prime implicant. It is the only prime implication that covers the minterm denoted by
decimal 10 and it also includes the terms 0, 2 and 8. The other minterms of the function are 1, 3 and 12.
Minterm 1 is present in AB and AD . The same is for minterm 3. Therefore, either of these prime

implicants can be used for these minterms. Minterm 12 is present in ACD and ABC , so either one of
them can be used.

The essential implicants marked with the symbol  must always be part of the final answer

So we have more than one final answer:

F = BD + BD + AB + ACD
F = BD + BD + AD + ABC

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