Your task is to structurally create a comparator for signed numbers $(2$s complement representation$)$ and unsigned numbers. The circuit will have the following main inputs and outputs

$1-$ First number A: $6$ bits

$2-$ Second number B: $6$ bits

$3-$ Selection S: $1$ bit to select how to consider the numbers $($signed or unsigned$)$ and thus how comparator will work

$4-$ First output $$Equal$$ : will produce $1$ if A$=$B$.$

$5-$ Second output $$Greater$$: will produce $1$ if A$>$B$.$

$6-$ Third output $$Smaller$$: will produce $1$ if A$<$ B$.$Your task is to structurally create a comparator for signed numbers $(2$s complement representation$)$ and unsigned numbers. The circuit will have the following main inputs and outputs

$1-$ First number A: $6$ bits

$2-$ Second number B: $6$ bits

$3-$ Selection S: $1$ bit to select how to consider the numbers $($signed or unsigned$)$ and thus how comparator will work

$4-$ First output $$Equal$$ : will produce $1$ if A$=$B$.$

$5-$ Second output $$Greater$$: will produce $1$ if A$>$B$.$

$6-$ Third output $$Smaller$$: will produce $1$ if A$<$ B$.$