Digital Circuits
Boolean Algebra
67 questions By Tony R. Kuphaldt
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Question 34 of 67
Use Boolean algebra to simplify the following expression, then draw a logic gate circuit for the simplified expression:
$$\overline{A} \ \overline{B} \ \overline{C} + \overline{A} \ \overline{B}C+A\ \overline{B} \ \overline{C} + A\overline{B}C$$
Reveal answer
Notes:Have your students explain the entire process they used in answering this question: simplifying the expression using Boolean algebra techniques, and developing a gate circuit from the simplified Boolean expression. By having your students share their thought processes with the whole class, you will increase the level of learning on the parts of presenter and viewer alike. Students presenting their solutions will gain a better understanding of how it works because the act of presenting helps consolidate what they already know. Students viewing the presentation will get to see another person’s technique (rather than just the instructor’s), which will allow them to see examples of how to do these processes cast in slightly different terms.
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Question 35 of 67
Use Boolean algebra to simplify the following logic gate circuit:

Reveal answer
Notes:Have your students explain the entire process they used in simplifying the gate circuit: developing the Boolean expression, simplifying that expression using Boolean algebra techniques, and then developing a new gate circuit from the simplified Boolean expression. By having your students share their thought processes with the whole class, you will increase the level of learning on the parts of presenter and viewer alike. Students presenting their solutions will gain a better understanding of how it works because the act of presenting helps consolidate what they already know. Students viewing the presentation will get to see another person’s technique (rather than just the instructor’s), which will allow them to see examples of how to do these processes cast in slightly different terms.
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Question 36 of 67
Use Boolean algebra to simplify the following logic gate circuit:

Reveal answer
Notes:Have your students explain the entire process they used in simplifying the gate circuit: developing the Boolean expression, simplifying that expression using Boolean algebra techniques, and then developing a new gate circuit from the simplified Boolean expression. By having your students share their thought processes with the whole class, you will increase the level of learning on the parts of presenter and viewer alike. Students presenting their solutions will gain a better understanding of how it works because the act of presenting helps consolidate what they already know. Students viewing the presentation will get to see another person’s technique (rather than just the instructor’s), which will allow them to see examples of how to do these processes cast in slightly different terms.





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