Digital Circuits
Boolean Algebra
67 questions By Tony R. Kuphaldt
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Question 67 of 67
Write the Boolean expression for this logic gate circuit, then reduce that expression to its simplest form using any applicable Boolean laws and theorems. Finally, draw a new gate circuit diagram based on the simplified Boolean expression that performs the exact same logic function.

Reveal answerOriginal Boolean expression: \(\overline{\overline{\overline{AB}C}A}\)
Reduced gate circuit:

Notes:This particular circuit is an example of how a combinational logic function may be implemented using nothing but NAND gates.
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Question 29, answer 3 has a typo - should be A*B + !(D)*E not A*B+!(D*E)