Can you help solve this

Chapter $11$ Exercises

Represent the following decimal numbers in both binary sign$/$magnitude and twos

complement using $16$ bits:

a$.+512$

b$.-29$

Represent the following twos complement values in decimal:

a$.1101011$

b$.0101101$

Consider the following operation on a binary word. Start with the least significant bit.

Copy all bits that are $0$ until the first bit is reached and copy that bit, too. Then take the

complement of each bit thereafter. What is the result?.

Assume numbers are represented in $8-$bit twos complement representation. Show the

calculation of the following:

a$.6+13$

b$.-6+13$

c$.613$

d$.-6-13$

Find the following differences using twos complement arithmetic:

a$.111000$

c$.111100001111$

$-110011$

$110011110011$

b$.11001100$

d$.11000011$

$-101110$

$-11101000$

Express the following numbers in IEEE $32-$bit floating$-$point format:

a$.-5$

b$.-6$

c$.-1\mathrm{.}5$

d$.384$

e$.\frac{1}{16}$

f$.-$

$\frac{1}{32}$

The following numbers use the IEEE $32-$bit floating$-$point format. What is the equivalent

decimal value?

a$.,11000001111000000000000000000000$

b$.,00111111010100000000000000000000$

c$.,01000000000000000000000000000000$