plesse answer with steps

a. Given the Boolean Expression(BE) of Y=A+AB+ABC. i. Develop the true table for the given BE (4 marks) ii. Design the logic gates for the given BE (4 marks) a. Convert the following number to the new based as assigned below: i. AD4F.3A 16= (4 marks) ii. 745.238= (4 marks) iii. 4367.9810= (4 marks) Question 4 (20 Marks) a. Calculate the following based number: i. 101100112+100112+45.218= (5 marks) ii. A57.2B164BEF16+100111012= (5 marks) b. Given Y(A,B,C)=m(1,3,5,6). Identify the canonical/standard and minimal sum of product (SOP) form. (10 marks)