Digital Circuits
Boolean Algebra
67 questions By Tony R. Kuphaldt
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Question 10 of 67
Write the Boolean expression for each of these logic gates, showing how the output (Q) algebraically relates to the inputs (A and B):

Reveal answer
Notes:In order to familiarize students with Boolean algebra and how it relates to logic gate circuitry, I like to give them daily practice with questions such as this. Students need to be able to recognize these logic gate types at a glance, and also be able to associate the proper Boolean expression with each one, or else they will have difficulty analyzing logic circuits later on.
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Question 11 of 67
Write the Boolean expression for each of these relay logic circuits, showing how the output (Q) algebraically relates to the inputs (A and B):

Reveal answer
Notes:In order to familiarize students with Boolean algebra and how it relates to relay logic circuitry, I like to give them daily practice with questions such as this. Students need to be able to figure out how each one of these ladder logic circuits works, and also be able to associate the proper Boolean expression with each one, or else they will have difficulty analyzing more complex relay circuits later on.
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Question 12 of 67
Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram:

Reveal answer
Notes:The process of converting gate circuits into Boolean expressions is really quite simple, if you proceed gate by gate. Have your students share whatever methods or “tricks” they use to write the expressions with the rest of the class.






Question 29, answer 3 has a typo - should be A*B + !(D)*E not A*B+!(D*E)