3. A new building with 14 floors will have its floors numbered 1 through 15 skipping 13 (there will be no 13th floo). There wil be a 0 floor (basement). As part of the elevator system (as wel as other systems) a logic module is needed that will convert the numbers 0 through 14 to 0 through 15 where 1 is added to every number above 12 (namely 13 and 14) To be precise, this logic module should map 0 through 14 to 0,1,2,3,4,5,6,7,8,9,10,11,12,14,15 in order; the number 13 is skipped. So as shown below the input is a 4 bit number d3,d di do) and there are 4 outputs s3,s2 si s The values 0 through 12 are mapped to themselves, 13 s ma ped to 14. 14 s mapped to 15. and 15 is a don't care input. ds floor converter do a. (2 points) Fil in a truth table for all 4 outputs (s3.S2,S1,so) as functions of (d3,dz.di.do) for all 16 possible input values. b. (9 points) Using K-maps obtain minimal SOP expressions for each of these four outputs