Solving Boolean Equation: A̅D + AB̅C̅D

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The discussion focuses on simplifying the Boolean equation A̅D + AB̅C̅D. Participants analyze the application of Boolean algebra rules, particularly questioning the correctness of the transformation to D(A̅ + AB̅C̅). There is a debate about whether A̅ + A simplifies to 1, leading to the conclusion that the expression could be reduced to D(1). Clarifications on the rules of Boolean algebra are emphasized, particularly regarding the use of the OR operation. The conversation highlights the importance of accurately applying Boolean simplification rules in problem-solving.
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boolean equation

= A̅D + AB̅C̅D
= D (A̅ + AB̅C̅) * rule A + A̅B = AB ?
= A̅D + B̅C̅D

am i using the rule correct or does A̅ + A make it a 1 and answer D(1)
 
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I think your rule on the second line should be:

A or (not A) B = A or B
 

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