Design a circuit that adds a $7-$bit unsigned integer to a $5-$bit unsigned integers using two $74$LS$2834$ bit Full Adder chip.

a$.$ Why aren$$t we adding two $8-$bit unsigned integers? $($Hint: Check the photo of the Magic Box$$ circuit in the manual$)$

b$.$ Draw the circuit for this circuit using two $4-$bit adders. Note: both our numbers need to be prefaced by zeros to make an equivalent $8-$bit number.

c$.$ Draw the circuit.

d$.$ Work with another student to build the corresponding circuit. Use the $74$LS$2834$ bit Full Adder chip from one kit with the hardware and chips from the other kit. Be sure to indicate who you worked with in both your lab reports. DO NOT try to use two circuit boards together.

e$.$ Design and implement a test procedure together. Both students must include the test procedure and each other$$s names in their Lab Reports