Prime Implicant
Prime Implicant
Prime Implicant
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Simplification Using Map-Entered<br />
Map Entered<br />
Variables<br />
Map-Entered Entered Variables<br />
Map<br />
Example: Use Map-entered Map entered Variables to simplify<br />
the function<br />
F ( A,<br />
B,<br />
C,<br />
D)<br />
= A′<br />
B′<br />
C + A′<br />
BC + A′<br />
BC′<br />
D + ABCD+<br />
( AB′<br />
C)<br />
where (AB’C) (AB C) is don’t don t care.<br />
Sol: D appears in only two terms, choose D as a map-entered<br />
map entered<br />
variable. variable.<br />
Sol:<br />
F(<br />
A,<br />
B,<br />
C,<br />
D)<br />
=<br />
A′<br />
B′<br />
C+<br />
A′<br />
BC+<br />
A′<br />
BC′<br />
D+<br />
ABCD+<br />
( AB′<br />
C)<br />
= A′<br />
B′<br />
C+<br />
A′<br />
BC+<br />
( A′<br />
BC′<br />
) D+<br />
( ABC)<br />
D+<br />
( AB′<br />
C)<br />
=<br />
m<br />
1<br />
+<br />
m<br />
3<br />
+<br />
m<br />
2<br />
D<br />
+<br />
( m<br />
Unit 06 36<br />
m<br />
7<br />
D<br />
+<br />
5<br />
)