pleasee 4 questions

1. Your customer (me, for example) requested a dice game machine that is described as: When a "start" button is pressed, then it does its functions given below: ott accepts two 2-digit binary numbers. Each number can be one of 1, 2 or 3. The input of O will illuminate an error LED. If the total of these 2 numbers are 4, then it illuminates a winner LED. If the total of these 2 numbers are 6, then it illuminates an ultra-winner LED. Other total results will illuminate a loser LED. Please design and draw the logic circuit (30 pts). 2- Someone draws the following flowchart figure to help you in your design. Please design and draw the logic circuits using JK-type flip-flops (20 pts) and D-type flip-flops (20 pts). x0 = 0 XO=0 and x2=1 every inputs x1=1 and x0=0 x0=1 X0=1 x0=0 and *2=0 x1=1 and x0=1 x1=0 3- Please find the simplest "sum-of-products" expression of f(A, B, C, D) = (1,4,6,8,11,13,14)-817,12) using Karnaugh map (5 pts), draw the circuit using NOR gates only (5 pts), and write the code as a VHDL module (5 pts). 4- Please find the simplest "product-of-sums" expression of f(A, B, C, D) = {(1,4,6,8,11,13,14)-87,12) using Karnaugh map (5 pts), draw the circuit using NAND gates only (5 pts), and write the code as a VHDL module (5 pts). Write your hand-written answers on A4 papers with page numbers, fill department & name & student ID to all pages, sign all pages with date before Feb 5, 2021. All answers will also be evaluated by regarding content similarities