Directions

Read each question and respond carefully. Once answered, follow the directions in Blackboard to submit

your answers. Each question is worth $20$ points.

Answer the following: $(20$ points$)$

a$)$ What is the decimal sign$-$and$-$magnitude value of the $8-$bit number represented

in $2\text{'}$s complement by $11010011?$

b$)$ What is the decimal sign$-$and$-$magnitude value of the $8-$bit number represented

in $2\text{'}$s complement by $01000011?$

Answer the following: $(20$ points$)$

a$)$ Find the $2\text{'}$s complementary representation in $8-$bits of the number $-51.$

b$)$ Find the $2\text{'}$s complementary representation in $16-$bits of the number $-331.$

Answer the following: $(20$ points$)$

a$)$ What is the sign$-$and$-$magnitude value of the three$-$digit number represented in

$9\text{'}$s complement by $461?$

b$)$ What is the sign$-$and$-$magnitude value of the three$-$digit number represented in

$9\text{'}$s complement by $747?$

Calculate largest positive integer that can be stored in $2$ bytes using: $(20$ points$)$

a$)$ an unsigned integer

b$)$ an integer using sign and magnitude

c$)$ an unsigned BCD number

Describe how "Overflow" may occur in adding signed binary numbers. Provide an

example of this. $(20$ points$)$