Question $1.$

a$.$ Convert the decimal number $17895567\mathrm{.}4828{10}^{20}$ to the format SEEMMMM with the

exponent stored excess$-55.$ The implied decimal point is to the right of the first mantissa

digit. Use the standard $0$ for positive numbers and $1$ for negative. Note carefully the

number of digits in the mantissa.

b$.$ What is the smallest number $($i$.$e$.$ closest to zero$)$ you can use with this format before

underflow occurs? There should be a positive and a negative version of this smallest num$-$

ber.

c$.$ What is the largest number $($i$.$e$.$ furthest away from zero$)$ you can use with this

format before overflow occurs? There should be a positive and a negative version of this

largest number.

Question $2.$

a$.$ Convert the decimal number $-0\mathrm{.}00000007830465805{10}^{-15}$ to the format

SEEMMMMMM with the exponent stored excess$-25.$ The implied decimal point is at the

start of the mantissa. Use the standard $0$ for positive numbers and $1$ for negative. Note

carefully the number of digits in the mantissa.

b$.$ What is the smallest number $($i$.$e$.$ closest to zero$)$ you can use with this format before

underflow occurs? There should be a positive and a negative version of this smallest num$-$

ber.

c$.$ What is the largest number $($i$.$e$.$ furthest away from zero$)$ you can use with this

format before overflow occurs? There should be a positive and a negative version of this

largest number.