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Simplify $A'B'C'D' + A'B'

时间:2025-10-07 04:33来源: 作者:admin 点击: 1 次
It looks great. The one improvement that could be made is that the $C'$ is redundant, owing to an identity: $$ZY'+Y=Z+Y$$ You can deduce this using

It looks great. The one improvement that could be made is that the $C'$ is redundant, owing to an identity:

$$ZY'+Y=Z+Y$$

You can deduce this using the absorbtion law $ZY+Y=Y$, and the complementary law $Y+Y'=1$.

Intuitively, when adding part of $Z$ outside of $C$ to $C$, you may as well add all of $Z$ to $C$, because the part already inside $C$ will be abosorbed anyway.

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