This homework assignment is worth $10\%$ of your course grade..

Read each problem carefully. Failure to follow the instructions for a problem will result in a zero score for that problem.

Submit the completed Homework via Assignment in LEO

$1.$ How many milliseconds $($ms$)$ are in one second? $\_\_\_\_\_\_\_\_\_$

$2.$ How many microseconds $($us$)$ are in one second? $\_\_\_\_\_\_\_\_\_$

$3.$ How many bytes are in $40$ megabytes? $\_\_\_\_\_\_\_\_\_$

$4.$ Convert the number below from a binary number to a hexadecimal number

$1001101011011.0111$

$5.$ Convert the number below from a binary number to a decimal number.

$10000000110.0101$

$6.$ Convert the hexadecimal number below to a binary number

$89$ A$.0$ C

$7.$ What is the decimal equivalent of the IEEE $754$ binary floating point number shown below?

$01000000101100000000000000000000$

For problems $8,9$ and $10,$ convert the following decimal numbers into $8$ bit binary numbers as required for $2\text{'}$s complement math, and perform the indicated operations. Circle or bold your binary answer and show your work.

Notes:

$$ Remember that positive numbers are represented in sign$-$magnitude format in $2\text{'}$s complement math

$8.$

$+48$

$+30$

$=$

$9.$

$+48$

$-30$

$=$

$10.$

$-48$

$+30$

$=$