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Designing digital logic gate, 3 bit two's complement as input x then output is F =...

Designing digital logic gate, 3 bit two's complement as input x then output is F = x^2-1.
a)F's Truth table
b)show F as SOP(Sum of product)
c)show F only using NAND
d)show F only using NOR
e)show F using only one Decoder and less gates as possible

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