4. A new building with 15 floors will have its floors numbered 0 through 15 skipping 13 (there will be no 13th floor). There will be a 0 floor (basement). As part of the elevator system (as well 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,,d1,do) and there are 4 outputs. ($3,52,51,50). The values 0 through 12 are mapped to themselves. 13 is mapped to 14. 14 is mapped to 15. and 15 is a don't care input. d d d floor converter do a. (2 points) Fill in a truth table for all 4 outputs (53,52,51,50) as functions of (d3,d,,d1.do) for all 16 possible input values. b. (9 points) Using K-maps obtain minimal SOP expressions for each of these four outputs