Read each problem carefully.

1.    How many milliseconds (ms) are in one second?   _________
2.    How many microseconds (us) are in one second? _________      
3. How many bytes are in 20 megabytes? _________
4. Convert the number below from a binary number to a hexadecimal number.
1 0 0 1 1 0 1 0 1 1 0 1 1 . 0 1 1 1 1
5.    Convert the number below from a binary number to a decimal number.
1 0 0 0 0 0 0 0 1 1 0 . 0 1 1
6.    Convert the hexadecimal number below to a binary number.
8 9 A. 0 C
7. What is the decimal equivalent of the IEEE 754 binary floating point number shown below?
0 1000 0001 0110 0000 0000 0000 0000 000

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

Remember that positive numbers are represented in sign-magnitude format in 2's complement math


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Discussion questions:

Part I - Number Conversions
Pick the amount from one of the checks in your checkbook.
1) Convert the decimal number into a binary number with three places to the right of the binary point.
2) Convert the binary number into a hexadecimal number.
3) Convert the binary number to a floating-point number using the IEEE -754 Floating-Point Standard      

Part II - Adding Binary Numbers
Select two decimal numbers between -60 and +60. One should be positive and the other should be negative.
Convert the numbers into 8-bit unsigned numbers with negative numbers in the 2’s complement form. (Remember that positive numbers have the leftmost bit =0 and negative numbers have the leftmost bit =1).
Add the two numbers together to generate an eight-bit binary result. Show your work.

Part III
If a computer is capable only of manipulating and storing integers, what difficulties present themselves? How are these difficulties overcome.

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This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

1. The answer is 1000
2. The answer is 1000000
3. The answer is 20480...
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