We want to use a ROM memory to implement a digital circuit that receives two $2-$bit numbers $x$ and $Y(x=x_1{x}_0,Y=y_1{y}_0)$ and detects whether $x$ is greater $($

$G=1),$ lower $(L=1)$ or equal $(E=1)$ to $Y.$ What information must be stored in the memory address words $0001$ and $1100?$

Note: The most significant bit of the address bus is $x_1.$

$001,100$

$010,010$

$110,100$

$010,100$