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A particular digital system called an “odd/even number checker” takes a 4-bit nu...

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A particular digital

system called an “odd/even number checker” takes a 4-bit number ‘A’ from the

range 1 - 10, analyzes it and indicated using two 1-bit ports whether the

number was an odd or even number.  The

two 1-bit ports are labelled ‘O’ and ‘E’. This represents Odd and Even. If a

number is analyzed and is found to be odd then ‘O’ is set to logic 1 while ‘E’

is set logic 0. On the other hand if a number is analyzed and is found to be

even then ‘O’ is set to logic 0 while ‘E’ is set logic 1.

What is the minimum sum-of-products expression for output ‘E’?

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