c) A combinational circuit is described by this Boolean Expression: F(A,B,C,D) = Em(0,2,4,8,9) i) Minimise the Boolean Expression given above using a Karnaugh map.

Electric Motor Control
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Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Question 1
a) Perform the following positional number system conversions. Show all your working,
otherwise, no marks will be given.
i) 23410 to hexadecimal
ii) FE1216 to decimal
b) Calculate 10810 – 4710 using 2's complement. Show all your working.
c) A combinational circuit is described by this Boolean Expression:
F(A,B,C,D) = Em(0,2,4,8,9)
i) Minimise the Boolean Expression given above using a Karnaugh map.
ii) Given Don't Care conditions d = Em (10,11,12), use a separate Kamaugh map to
demonstrate how you would further simplify the expression in part i).
i) Use Switching Algebra to show how you would implement the function obtained in
part ii) by using NAND gates only.
Provide a circuit diagram in your answer. Show all your working.
Transcribed Image Text:Question 1 a) Perform the following positional number system conversions. Show all your working, otherwise, no marks will be given. i) 23410 to hexadecimal ii) FE1216 to decimal b) Calculate 10810 – 4710 using 2's complement. Show all your working. c) A combinational circuit is described by this Boolean Expression: F(A,B,C,D) = Em(0,2,4,8,9) i) Minimise the Boolean Expression given above using a Karnaugh map. ii) Given Don't Care conditions d = Em (10,11,12), use a separate Kamaugh map to demonstrate how you would further simplify the expression in part i). i) Use Switching Algebra to show how you would implement the function obtained in part ii) by using NAND gates only. Provide a circuit diagram in your answer. Show all your working.
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