$($Exercises $1$ and $2$ share the same statement$)$

We want to use a ROM to implement the following circuit:

$81-$bit inputs, $x_7,x_6,x_5,x_4,x_3,x_2,x_1,x_0$

$31-$bit outputs, Parity $x_7{x}_4,$ Parity $x_3{x}_4,$ OddPositionsParity $x_7{x}_4$

Parity $x_7{x}_4=1$ when there is an even number of $15$ in the set of inputs $\{x_7,x_6,x_5,x_4\}$; and $0$ otherwise.

Parity $x_3{x}_4=1$ when there is an even number of $1$ s in the set of inputs $\{x_3,x_2,x_1,x_0\}$; and $0$ otherwise.

OddPositionsParity $x_7{x}_4=1$ when there is an even number of $1$ s in the set of inputs $\{\begin{array}{c}{x}_6\\ x_4\\ x_2\\ x_0\end{array}$

$\}$; and $0$ otherwise.

ROM memory must meet the following requirements $($mark the correct answer$)$

$($hint: Review lecture L$2\mathrm{.}1$ if you do not know how to approach this question$)$

Size: $1283-$bit words $/$ Address bus: $7-$bits $/$ Data bus: $8-$bits

Size: $2563-$bit words $/$ Address bus: $2^8-$bits $/$ Data bus: $3-$bits

Size: $2563-$bit words $/$ Address bus: $8-$bits $/$ Data bus: $3-$bits

Size: $2563-$bit words $/$ Address bus: $8-$bits $/$ Data bus: $8-$bits