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4.1 When implemented, a minterm Boolean expression produces what pattern of logic gates? 4.2 When implemented, a maxterm Boolean expression produces what pattern of logic gates? 4.3 Simplify the Boolean expression _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ A ∙ B ∙ C ∙ D + A ∙ B ∙ C ∙ D + A ∙ B ∙ C ∙ D + A ∙ B ∙ C ∙ D + A ∙ B ∙ C ∙D + A ∙ B ∙ C ∙ D + A ∙ B ∙ C ∙ D = Y. 4.4 Do you think it is possible to develop a maxterm (product-of- sums) Boolean expression from a truth table? 4.5 Do you think the Karnaugh map shown in Fig. 4-21(b) can be used to simplify either minterm or maxterm Boolean expressions? FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic Gates 1 FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic Gates Name: Date:

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Page 1: mrgep.weebly.com · Web view4.9 Using DeMorgan’s theorems(or circuit simulator software if available) write the minterm Boolean expression that would describe the logic function

4.1 When implemented, a minterm Boolean expression produces what pattern of logic gates?

4.2 When implemented, a maxterm Boolean expression produces what pattern of logic gates?

4.3 Simplify the Boolean expression _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _A B C D + A B C D + A B C D + A B C D + A B C D + A B C D + A ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙

B C D = Y.∙ ∙ ∙

4.4 Do you think it is possible to develop a maxterm (product-of-sums) Boolean expression from a truth table?

4.5 Do you think the Karnaugh map shown in Fig. 4-21(b) can be used to simplify either minterm or maxterm Boolean expressions?

FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic Gates 1

FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic GatesName: Date:

Page 2: mrgep.weebly.com · Web view4.9 Using DeMorgan’s theorems(or circuit simulator software if available) write the minterm Boolean expression that would describe the logic function

4.6 A six-variable truth table would have how many combinations?

__ __ __ __4.7 Write the keyboard version of the Boolean expression A B C + A B C + A B C = Y as∙ ∙ ∙ ∙ ∙ ∙ you may have to do when entering information into a computer circuit simulator.

4.8 Write a maxterm Boolean expression for the logic diagram shown in Fig. 4-58.FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic Gates 2

Page 3: mrgep.weebly.com · Web view4.9 Using DeMorgan’s theorems(or circuit simulator software if available) write the minterm Boolean expression that would describe the logic function

4.9 Using DeMorgan’s theorems(or circuit simulator software if available) write the minterm Boolean expression that would describe the logic function of the circuit in Fig. 4-58.

Hint: Use the maxterm expression developed in question 4-8.

4.10 Draw a three-variable truth table that would describe the logic function of the circuit in Fig. 4-58.

Hint: Work from the minterm expression developed in question 4-9.

FTCc ELE2053 Week#4 Homework Chapter 4 Combining Logic Gates 3