Question $9$

$6$ pts

Convert the following base $10$ number into single precision floating point Binary representation using IEEE $754$ standard.

$-18\mathrm{.}59375$

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

For $1,$ fill in the binary number by entering the bits in the blank with no spaces or leading $0\text{'}$s$.$ E$.$g$.$ if your answer is $101,$ enter it as is$.$ DO NOT write it as $..\mathrm{.}0101.$

For $2,$ fill in the binary number by entering the correct number of bits in the blank with no spaces, no decimal point, or trailing O$\text{'}$s$.$ E$.$g$.$ if your answer is $001,$ enter it as is$.$ DO NOT write it as $0010...$ or $\mathrm{.}001.$ Note that the leading O$\text{'}$s are necessary here.

For $5,$ fill in the binary number by entering the correct number of bits in the blank with no spaces. E$.$g$.$ if your answer is $01010000,$ enter it as is$.$ DO NOT write it as $01010000$ or $1010000.$ Note that the leading $0\text{'}$s $($if present$)$ are necessary here.

Enter your answers in the blanks as specified.

Binary of integer portion $(18)$: $($NO SPACE. Do not include extra O$\text{'}$s$)$

Binary of fractional portion $(0\mathrm{.}59375)$: $($NO SPACE. Do not include extra O$\text{'}$s$)$

Sign bit: $$

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

Significand bits $($only write out the leftmost $11$ bits, NO SPACE$)$: $000000000000$

Floating point in Hex: Ox $$