maxterm code. Verification of this function is also accomplished in six steps:
I=(A +B+XY)(
¯
A+ B +
¯
X Z)(
¯
A+
¯
B+Y Z)(1) From K-map
=(A +B+XY) (
¯
A+ B +
¯
X Z)(
¯
A+
¯
B+Y Z)(2) By Eq. (3.26)
=(A +B+X) (A + B +Y) (
¯
A + B +
¯
X) (
¯
A+ B + Z)
(
¯
A+
¯
B+Y) (
¯
A+
¯
B+Z)(3) By Eqs. (3.19)
=[B+(A + X) (
¯
A+
¯
X)] [Y+(A +B) (
¯
A+
¯
B)]
[
¯
A+ Z+(B
¯
B)](4) By Eqs. (3.19)
=[B+(A + X)(
¯
A+
¯
X)] [Y+(A +B)(
¯
A+
¯
B)] [
¯
A+ Z](5) By Eq. (3.26)
=[B+(A ⊕ X)] [Y+(A ⊕B)] [
¯
A+ Z](6) By Eqs. (3.4)
In going from step3 to step4, commutivity was applied before application ...
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