A kitchen timer that can count up to 159 minuttes will be implemented with two 4-bit counters. One counter will hold the decimal value of the rightmost digit for the minutes (least significant) and will count up from 0 to 9. (This counter can be easily built as a BCD counter, so we will ignore this counter. Later in the quarter we will talk about BCD counters.) The second counter holds the value for the remaining digits and can count up to 15. Its value represents "tens of minutes." The time will be displayed on the counter in the standard H:MM format. For example, 72 minutes would b displayed as 1:12, 148 minutes would be 2:28, and 37 minutes would be 0:37. Hence we need logic to convert the 4 bits of the second counter, C=(n3,c2,c1,c0) to a format that displays hours and tens of minutes, H=(h1,h0) and T=(t2,t1,t0). So for example, if C=11 then H=1 and T=5, or if C=13 then H=2 and T=1 or if C=5 then H=0 and T=5. a. . . , Fill in a truth table for the outputs (h1,h0,t2,t1,t0) as a function of the inputs (c3,c2,c1.c0) for all 16 possible input values. b _ Using Karnaugh maps obtain minimal SOP expressions for each of the 5 outputs