Please hurry $2.$ A $12-$bit Hamming$-$code word containing $8$ bits of data and $4$ check bits is read from memory. What was the original $8-$bit data word that was written into memory if the $12-$bit word read out is as follows:

$($a$)000011101010$

$($b$)101110000110$

$($c$)101111110100$

$3.$ For the $8-$bit word $00111001,$ the check bits stored with it would be $0111.$ Suppose when the word is read from memory, the check bits are re$-$calculated to be $1101.$ What is the data word that was read from memory?