$1.$ Design and implement a Pseudo Random Number Generator $($PRNG$)$ using AES in OFB mode. You can use any publicly available code or a library function for AES. Demonstrate that your implemented PRNG can output at least $10$ random numbers $($each with $128$ bits$).$

$2.$ For these $10$ numbers, calculate the Fraction of One Bits, and the Fraction of Bits that Match with the Preceding Block.