I am trying to design a calculator circuit that adds 2 four-bit 2's-complement binary numbers as its input and outputs an 8-bit 2's-complement number when the control bits equal 01.
Here's what I have done so far using a software called Logisim. I am really stuck when I found out that I cannot put the other 4 output buttons (colored in blue) in my full adder. I am stumped on how to approach this problem now.
I have tested a few 2's-complement numbers and got the output I wanted and some 2's-complement numbers that did not go so well like (having 0100 as the first input and 0110 as the second input did not give me 1010 but gave me 1011.
I just need help, suggestions and guidance on how to move forward.
Best Answer
You have a 4-bit full adder, so far OK. Then you connected a control input to the carry-in of the lowest bit. When you keep that control at 0 you still have your 4-bit adder. When you put it at 1 you will get the addition + 1, just as you described. Putting an inverter after the first output bit will 'solve' this ONLY for additions that had a 0 in the lowest bit (go figure out why).
If you want the control = 1 to give you the addition, and control = 0 must give 'something else, does not matter what' you could put the inverter in the control line.
BTW a 4-bit added will give you a 5-bit result. If you need an 8-bit 2s-complement result look up 'sign extension'. (This smells of homework, so I won't give away everything.)