1. How many milliseconds (ms) are there in one second? _________

2. How many microseconds (us) are there in one second? _________

3.How many bytes are there in 20 megabytes? _________

4. Convert the number below from a binary number to its hexadecimal equivalent 1 0 0 1 1 0 1 0 1 1 0 1 1 . 0 1 1 0 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 0011 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.

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

8.

+26
+15
=

9.

+26
- 15
=

10.

- 26
+15
=

11.Convert 316.15 from a decimal to a binary number with three places to the right of the binary point. Then convert the binary number to a hexadecimal number. Then convert the hexadecimal number to a floating point number. Show your work.

12. 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 2s 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.

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