Do the IONUM wing functions using K-maps. The minterns listed under d..) stand for don't 1-Simplify the following functions, cares. b/ f(a,b,c,d,e)=m( 7,8,9,12,13,14 10 c/ f(u,v,w,x,y,z) = m(0,2,14,18,21.2732 d/ f(x1,x2,X3,X4)= IIM(1,3,9,11,13) x.v.z) = m( 4,5,7,12,14,150+ d( 3,8,10) 5 (7,8,9,12,13,14,19,23,24,27,29,30) + d(1,10,17,26,28,31) ES (0,2,14,18,21,27,32,41,49,53,62) + d( 6,9,25,34,55,57,61) IM (0,2,6,8,9,10) D(5,12,13,14,15) (D: don't cares) e) =Mo.M.M9..M11,M12.M13.M14.M16.M17.M22.M23.M25.M27, M28 e/ g(a,b,c,d,e) =Mo.M.M.M11MM ration of function 1(b) as a two-level of NAND-NAND gates. 2-Obtain a realization of function 1(b) as a tu Hint: Use De Morgan Theorem 3-In a car security system, the siren will usually com tu system, the siren will usually come on when it is triggered by one or more pouts. In addition there will be a master switch to turn on and off the system. Let's assume that there is a car door switch D, a vibration detector switch V, and the master switch M We will use the convention that when the door is opened D=1. otherwise. D=0 Similarly, when the car is being shaken, V=1,otherwise, V=0. Thus, we want the siren S to com on that is set S=1, when either D=1, or V=1, but this is only for when the system is turned on. that is M=1. When M=0 as in when we are entering the car or when we are driving, we don't want the siren to come on. Given the above description of the system, we can build a digital circuit that has the required functionality. a/ Build a truth table to precisely state the operations for the device. The table has three inputs columns M, D and V and an output column S. b/ Show a realization of the circuit