2.a)Consider a system which indicates which part of a laptop is damaged. There are sixpossible events here: fan damaged (F-001), keyboard damaged (K-111), speaker damaged(S-010), track-pad damaged...

2.a)Consider a system which indicates which part of a laptop is damaged. There are sixpossible events here: fan damaged (F-001), keyboard damaged (K-111), speaker damaged(S-010), track-pad damaged (T-101), ethernet port damaged (E-011) and USB port damaged(U-100). Here, the first letter is the input and the three bits are the output. For example, inF-001, F is the input and001is the output. To maintain priority during the occurrence ofmultiple events at the same time, the priority sequence followed isF > K > T > E > U > S.Design an encoder that can encode the events based on given priority.You have to answerthe followings:

i) Derive the truth table of the priority encoder including valid bit.

ii) Derive the Boolean expressions for all the outputs.

b)Design a 3 bit asynchronous down counter with positive edge triggered JK Flip flops.