I have attempted to solve a digital design problem where I need to create a counter using JK flip flops. The counters behavior depends on an external input: it either follows a sequence of numbers in order or in reverse, based on my university ID$.$ So if the external input is $0$ the numbers in my ID$,$ which is $20230429$ will be in order, if the external input will be $1,$ the numbers in my ID will be in reverse order. I would like to verify my work and better understand the solution process. Could you please solve the problem fully, including:$1.$ The state diagram, $2.$ The state table, $3.$ K map $-$ minimization,$4.$ JK flip flop implementation table,$5.$ The minimized logic equations and circuit diagram?I will use this solution to cross check my approach and identify any errors I may have made. This makes it clear that the request is for learning and comparison purposes, which helps align with policies promoting integrity