need help with e-i please

5) Design a 3-input/2-out system that counts the number of i's in a 3-bit number: a) Write the truth table. Use A, B, C as inputs and XY for the 2-bit output b) Write the equations for each the outputs X and Y. c) Write the expressions for the complement of each output and from them the expressions for each output. d) Draw the circuit obtained in b) above. Count gates and chips. e) Draw the circuit obtained in c) above. Count gates and chips. f) Simplify the output expressions from b) algebraically 8) Simplify the output expressions from c) algebraically h) Draw the simplified circuit from f. Count gates and chips i) Draw the simplified circuit from g. Count gates and chips. S. CA 2 g 0 o 7 -ooool OOO OOOO o 2 / 9 ? 9 4 w fo 0 10 o sla / 2 1 0 0 X-BC+ ACUAB * CC44%)43 y= A'B'CA'BC'+ AB'C'H AXE = A'CoX+BH AEB'C'ABC) (C) x= c'* CA 'BICA + B) g's A+CCB76') 6840) (CB2)C342) X=CCABAS C. A- D go A'COCA BCI) +ACB!C4 BC) D A