Description

In this assignment you will create a combinational logic circuit that will

compare two $2$ bit binary numbers A$($a$1$a$0),$ B$($b$1$b$0)$ and make arithmetic

operation depending on the comparison result by utilizing truth table, Boolean

equations. You are required to transform Boolean equations to logic circuit

and implement them in Logisim.

System Description

The circuit has two $2$ bit inputs as binary numbers A$($a$1$a$0),$ B$($b$1$b$0).$ The circuit

compares this $2$ bit numbers A and B and makes arithmetic operations between

them as follows:

$$ If A $>$ B$,$ then calculate A$-$B $($binary substraction$)$

$$ If A $<$ B$,$ then calculate A$+$B $($binary addition$)$

$$ If A$=$B$,$ then calculate A$*$B $($binary multiplication$)$

For the calculations substraction, addition and multiplication, you are allowed to

use the built$-$in arithmetic blocks of logisim$.$

The circuit will have a single hex display to show the result of the mathematical

operation either substraction, multiplication or addition. You will use the same hex

display for all the arithmetic operation results.