$[18$ marks$]$ For this question you will be working with floating point numbers.

You must show how you determined the final answers for parts $($c$)$ through $($i$).$

The flosting point model uses $12$ bit sequences with $1$ bit for the sign, $5$ bits for the exponent with a blas of $15,$ and $6$ bits for the fraction.

The values for $0,$ infinily, NaN, and aubnarmal numbers are represented in a similiar way to IEEE standard for floating point numbers.

$.$ For any resilts that cannot include all frectional bits in the bit sequence representation, extre bits should be truncated.

Unless otherwise indicated, In the cases where the results are decimal values, these answers must be precise. Precise values may be shown as a fraction or by writing out the exact digits of the decimal number. The final decimal number cannot be written in scientific notation nor as a value multiplied by a power of $2.$

$($a$)$ What is the bit sequence representation of $-?$

$($b$)$ What is the bit sequence representation of $-0?$

$($c$)$ What is the fifth largest, positive normal number that can be represented? Do not count infinity as a normal number. Glve the bit sequence and the decimal value.

$($d$)$ What is the third, smallest, normal, positive number that can be represented? Do not count $40$ as a positive number. Glve the bit sequence and the decimal value as a fraction.

$($e$)$ What is the decimal equivalent of $101101010101?$

$($i$)$ What is the decimal equivalent of $010101011010?$

$($a$)$ What is the bit sequence representation of the decimal value $-17\mathrm{.}25?$

$($h$)$ What is the bit sequence representation of the decimal value $8197?$

$(0)$ What is the bit sequence representation of declmal value $-41\mathrm{.}6375?$

$(1)$ What is the bit sequence representation of the result of the following calculation? Your work shown for this question should be done as blnary values.

$101101101110+101001010100$