Question 5 (a) Use DeMorgan's laws to simplify the following expressions: i. (a.b.c) + (c.d) ii....

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Question 5 (a) Use DeMorgan's laws to simplify the following expressions: i. (a.b.c) + (c.d) ii. a+b.b+c.c+d (b) Given the following logic circuit: A Bo Co i. Find a Boolean expression for the output Q for this logic circuit ii. Use the laws of boolean algebra and give to simplify this expression (c) Use the duality principle to find out the dual of the following equation: a.b+c.d = (a + c).(a +d).(b + c).(b+d) (d) For the following Boolean expression, give: F(a, b, c, d) = (a + b.d).(c.b.a. +.d) i. The truth table ii. The Karnaugh map iii. The minimal sum of products expression [6] [4] [2] [8] Question 5 (a) Use DeMorgan's laws to simplify the following expressions: i. (a.b.c) + (c.d) ii. a+b.b+c.c+d (b) Given the following logic circuit: A Bo Co i. Find a Boolean expression for the output Q for this logic circuit ii. Use the laws of boolean algebra and give to simplify this expression (c) Use the duality principle to find out the dual of the following equation: a.b+c.d = (a + c).(a +d).(b + c).(b+d) (d) For the following Boolean expression, give: F(a, b, c, d) = (a + b.d).(c.b.a. +.d) i. The truth table ii. The Karnaugh map iii. The minimal sum of products expression [6] [4] [2] [8]