A circuit which takes a binary-coded decimal (BCD) number as input s to be designed such that the single output Q is true if the input is a prime number (remerber that 0 and 1 count as prime numbers). (a)Draw a truth table that specifies the above circuit (b)Using the truth table you have constructed and the Karnaugh map method find the minimised Boolean  expression for the output Q. (c)Implement the digital circuit using the minimum number of 2-input logic AND, OR gates and inverters (NOT.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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A circuit which takes a binary-coded decimal (BCD) number as input s to be designed such that the single output Q is true if the input is a prime number (remerber that 0 and 1 count as prime numbers).

(a)Draw a truth table that specifies the above circuit

(b)Using the truth table you have constructed and the Karnaugh map method find the minimised Boolean  expression for the output Q.

(c)Implement the digital circuit using the minimum number of 2-input logic AND, OR gates and inverters (NOT.

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