Question $2$: $[5$ marks$]$

a$)[2]$ What is the greatest positive decimal integer value that could be stored in a $10-$bit one's complement form? Give the actual number and explain briefly how you obtained it$.$

b$)[3]$ Determine the base b$.$ You must demonstrate how you can get the value of $b$ from basic principles $($using algebra$)$ rather than by trial and error.

$(55{)}_b(61{)}_b=(2695{)}_b$

$3$

Question $2$: $[5$ marks$]$

a$)[2]$ What is the greatest positive decimal integer value that could be stored in a $10-$bit one's complement form? Give the actual number and explain briefly how you obtained it$.$

b$)[3]$ Determine the base b$.$ You must demonstrate how you can get the value of $b$ from basic principles $($using algebra$)$ rather than by trial and error.

$(55{)}_b(61{)}_b=(2695{)}_b$

$3$