Question

Design a circuit that can be built using and, or and invertor gates that will output...

Design a circuit that can be built using and, or and invertor gates that will output a High (1) whenever the 4-bit hexadecimal input is an odd number from 0-9
Hint: You need to ask yourself, how many combinations do I have? How many I am using from them? What should you do with the rest?

Minimize the design. Then implement it using Vivado

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Answer #1

The circuit will output high when the number is odd number, between 0-9. This will contain 5 odd numbers : 1,3,5,7,9 rest will have output 0. Hexadecimal 4 bit values are from 0 to F but we are not using A-F numbers so they will be don't care condition represented by X. Digital circuits use don't care in conditions where output is not considered. It can be assumed to have either 0 or 1 value as per the necessity during use of k-maps for reduction. Truth table for the question along with k-map reduction and circuit using and, or and invertor for minimized SOP is below.

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