$1.$ Convert the following decimal fractions to binary with a maximum of five places

to the right of the decimal point:

a$.25\mathrm{.}84375$

b$.57\mathrm{.}55$

$2.$ Convert the following numbers to binary:

a$.($AC$12)16$

b$.(536)8$

$3.$ Convert the decimal number $(122)10$ into:

a$.$ Octal

b$.$ Hexadecimal

$4.$ Represent the following decimal numbers into binary using $8-$bit singed

magnitude, one$$s complement, and two$$s complement:

a$.60$

b$.-60$

c$.20$

d$.-20$

$5.$ What decimal value does the $8-$bit binary number $10011110$ have if:

a$.$ It is interpreted as an unsigned number?

b$.$ It is on a computer using signed$-$magnitude representation?

c$.$ It is on a computer using one$$s complement representation?

d$.$ It is on a computer using two$$s complement representation?

$6.$ Subtract $(18)10$ from $(53)10$ in an $8-$bit system using:

a$.$ Sign$-$Magnitude

b$.$ One$$s Complement

c$.$ Two$$s Complement

$7.$ Multiply $(5)10$ by $(-12)10$ in a $5-$bit system using Booth Algorithm