Show truth tables for each of the following.

b$)$ The system has four inputs and three outputs. The first two inputs, a and b$,$ represent a $2-$bit

binary number $($range of $0$ to $3).$ A second binary number $($same range$)$ is represented by the

other two inputs, c and d$.$ The output f is to be $1$ if and only if the two numbers differ by exactly

$2.$ Output g is to be $1$ if and only if the numbers are equal. Output h is to be $1$ if and only of the

second number is larger than the first