Implement the function: $G(A,B,C.D)=(3,6,7,10,1213)+d(0,8,14,15)$ using minimum

number of NAND gates.Let $A=A_1{A}_0$ be a number, where the four possible values of $A,$ namely, $00,01,10,$ and

represent the four numbers $0,1,2,$ and $3,$ respectively. Similarly, let $B=B_1{B}_0$

represent another number with the same four possible values.

Design a $2-$bit magnitude comparator circuit with three outputs $G,E,L,$ and four inputs

$A_1,A_0,B_1,$ and $B_0,$ based on the following conditions:

$G=1,$ if $A>B,$ otherwise $G=0$

$E=1,$ if $A=B,$ otherwise $E=0$

$L=1,$ if $L=0G,$ELA, otherwise $L=0$

$a.$ Obtain the truth table for outputs $G,E,$ and $L.$