B $4-25.$ Figure $4-75$ represents a relative$-$magnitude detector that takes two three$-$bit binary numbers, $x_2{x}_1{x}_0$ and $y_2{y}_1{y}_0,$ and determines whether they are equal and, if not, which one is larger. There are three outputs, defined as follows:

$M=1$ only if the two input numbers are equal.

$N=1$ only if $x_2{x}_1{x}_0$ is greater than $y_2{y}_1{y}_0.$

$P=1$ only if $y_2{y}_1{y}_0$ is greater than $x_2{x}_1{x}_0.$