a$)$ For the NZP Tester$($Implementing the NZP TEST Component$),$ what are all the possible input combinations for the NZP input bits?

List each in a table and explain what they actually mean.

'Example: NZP$=011,$ this means: data $>=0$

b$)$ Implement the NZP Tester as shown on the slide titled $$Implementing the NZP TEST Component $($Part $1).$ This shows the partial implementation of the NZP tester, for this problem you are to implement the $$guts$$ of the box labeled Part $1$ at the logic gate level. Instead of taking in a $16-$bit number to test, take in only a $3-$bit number to test. Your circuit should have three inputs $($the $3-$bit number$)$ and three outputs $($Ni$,$ Zi$,$ and Pi$).($Could you make a drawing for these circuits?$)$