(a) Consider the Boolean expression F = AC + AB + CB (b) i) Draw the...

 

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(a) Consider the Boolean expression F = AC + AB + CB (b) i) Draw the equivalent logic gate circuit diagram. ii) Write the truth-table for this circuit. An unknown Boolean circuit has the following truth table, where F is the output: A B C F 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 [4%] [4%] i) From the truth table, draw the equivalent Karnaugh map with all its labels. Also, draw a line around each group you find. ii) Using the Karnaugh map you drew, find the simplest sum of products Boolean expression that would give the truth table above. Show all your work and explain your reasoning. [5%] [5%] Act Go t (a) Consider the Boolean expression F = AC + AB + CB (b) i) Draw the equivalent logic gate circuit diagram. ii) Write the truth-table for this circuit. An unknown Boolean circuit has the following truth table, where F is the output: A B C F 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 [4%] [4%] i) From the truth table, draw the equivalent Karnaugh map with all its labels. Also, draw a line around each group you find. ii) Using the Karnaugh map you drew, find the simplest sum of products Boolean expression that would give the truth table above. Show all your work and explain your reasoning. [5%] [5%] Act Go t