PLEASE SOLVE ALL PARTS STEP BY STEP WILL RATE FAST $,$ WILL THUMBS UP DONT SKIP ANY PARTS PLEASE Design a combinational circuit that accepts a $3-$bit binary number $(I_2{I}_1{I}_0)$ and generates a $5-$bit

binary number $G(I_2,I_1,I_0)=O_4{O}_3{O}_2{O}_1{O}_0$ equal to double the input number plus $4.$ The function is

$G=2I+4$ where I is the value of the $3-$bit input.

a$.$ Generate the truth table for the circuit with least significant bits having subscript $0.$ Hint: be

careful and check your truth table in base $10.$ Enter your truth table below.

b$.$ Use K$-$maps to simplify functions as needed. You may not have to if you recognize the output bit

patterns compared to the inputs. Write the SOP expressions for your outputs below. Answers can

be handwritten.

$O_4=$

$O_1=$

$O_3=$

$O_0=$

$O_2=$

c$.$ Sketch the logic circuit that implements the final circuit. It can be hand drawn and you can insert

a scan.