The $9\text{'}$s complement of a decimal digit $($d$)$ is defined as $9-d.$ A logic circuit produces the $9\text{'}$s

complement of an input digit where the input and output digits are represented in BCD$.$ The

inputs are $A,B,C,$ and $D,$ and the outputs are $W,x,Y,$ and $Z.$ Design the logic circuit and

provide the following:

a$.$ Complete Truth Table

b$.$ Canonical Forms $($Sum of Minterms and Product of Maxterms$)$

c$.$ Minimum Expression for each output in Sum of Products obtained through Karnaugh

Maps.