Homework#$1$

Note: Submission must be done using BlackBoard.

Convert the following binary numbers into their decimal format:

$($a$)101010\mathrm{.}1100$

$($d$)111000111100$

$($b$)111000\mathrm{.}0110$

$($e$)0\mathrm{.}10101011$

$($c$)11111100$

Convert the following decimal numbers into their binary equivalent:

$($a$)12$

$($d$)46\mathrm{.}32$

$($b$)64$

$($e$)29\mathrm{.}1875$

$($c$)8812$

Convert the following hexadecimal numbers into their decimal equivalent:

$($a$)AB$

$($c$)3F.AD$

$($b$)1970$

$($d$)C2\mathrm{.}4$

Convert the following decimal numbers into their hexadecimal format:

$($a$)10$

$($c$)360\mathrm{.}5$

$($b$)110$

$($d$)33\mathrm{.}71875$

Find the $2\text{'}$s complement representation in $8$ bits for the following decimal numbers:

$($a$)12$

$($c$)60$

$($b$)-45$

$($d$)-120$

Find the decimal equivalent of the following signed binary numbers $(2\text{'}$s complement form$)$:

$($a$)01010101$

$($c$)10000001$

$($b$)11111111$

$($d$)10101010$

$A=5D$ and $B=CA$ that are $8$ bit numbers in $2\text{'}$s complement system. Perform each of the indicated

operations and determine the value of X in HEX and in Decimal. For each case indicate if an

overflow occurs or not:

$($a$)x=-A$

$($c$)x=A-B$

$($b$)x=A+B$