Note: Assume the numbers to be rounded, the formula for computing the bias is the same as utilized in IEEE $754$ format, the leading $1.$ is not included in the bit fields, and result to be in Big Endian byte ordering.

Convert the following number, $12\mathrm{.}3875$ base $10$ to the following floating point format: first $19$ bits is the mantissa, next bit is the sign bit, and remaining $12$ bits is the exponent. Which of the following options is the correct choice?

Group of answer choices

$41463333$

$8$C$666802$

$33334641$

$0268668$C

$8$C$677802$