6. |(a) (i) Draw the logic diagram of the following Boolean expression (1 mark) X = (A + AB)(AB + B) (ii) Simplify the above Boolean expression(1 mark) (iii) Draw the logic diagram after the simplification. (1 mark)
6. |(a) (i) Draw the logic diagram of the following Boolean expression (1 mark) X = (A + AB)(AB + B) (ii) Simplify the above Boolean expression(1 mark) (iii) Draw the logic diagram after the simplification. (1 mark)
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Transcribed Image Text:6.
(a) (i) Draw the logic diagram of the following Boolean expression.(1 mark)
X = (Ā + AB)(AB + B)
(ii) Simplify the above Boolean expression(1 mark)
(iii) Draw the logic diagram after the simplification. (1 mark)
(b) Draw the logic circuit of the following Boolean expression after simplifying using Laws of
Boolean AlgebraABC + B + BD + ABD + ĀC{2 marks)
(c) Simplify the Boolean expression using K-map (2 marks)
F(A,B, C , D) = Em(0,1,2,4,5,8,10)
(d)Four inputs A,B,C,D are fed to logic circuit, which produces an output Y which operate
relay.
The relay turns on when Y = 1 for the inputs(ABCD):0011,0100,0111,1001,1010,1011
Further the inputs '0000,0001,0010,1101,1110,1111can be treated as don't cares (d).
For the remaining states, the relay is off. (Y = 0)
(i)
Draw a Truth table for this condition and write an expression for Y.
(ii)
Draw a K map for this condition, and simplify the expression
(3 marks)
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