Question $10$

$5$ pts

Convert the following single precision floating point Hex representation into decimal $($base $10)$ number using IEEE $754$ standard.

$0$x$02$BA$0000$

Some powers of $2$ for your convenience: $2^{-1}=0\mathrm{.}5,2^{-2}=0\mathrm{.}25,2^{-3}=0\mathrm{.}125,2^{-4}=0\mathrm{.}0625,2^{-5}=0\mathrm{.}03125,2^{-6}=0\mathrm{.}015625,2^{-7}=0\mathrm{.}0078125,2^{-8}=0\mathrm{.}00390625,2^{-9}=0\mathrm{.}001953125,2^{-10}=0\mathrm{.}0009765625,2^{-11}=0\mathrm{.}00048828125.$

Enter your answers in the blanks as specified.

Sign bit:

Exponent bits $($NO SPACE$)$: $$

Significand bits $($only write out the leftmost $6$ bits, NO SPACE$)00000000000000000$

Decimal value in scientific notation: $21($all blanks in base $10)$