Posted: December 7th, 2013
Binary numbers
Objectives
- Utilize the ASCII (American Standard Code for Information Exchange) coding scheme
- Demonstrate understanding of the binary and hexadecimal number systems
- Convert between binary and decimal numbers
- Convert between hexadecimal and decimal numbers
- Convert between hexadecimal and binary numbers
Assignment
Answer the questions listed below.
Write your answers on 8½ x 11 paper (lined or unlined) or print out this page and write your answers on it. When answering questions number the answer to match the question and state the answer in a complete sentence such that the reader will have a good idea of what the original question was.
Example:
Question:
1. What is an algorithm?
Answer:
1. An algorithm is a list of steps to solve a problem in a finite
amount of time.
Section A: Complete the exercise below utilizing the ASCII (American Standard Code for Information Exchange) coding scheme handed out in class, . Write your answer in the space provided.
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Exercise using ASCII Code – 10 points
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Write a short sentence in English (4 or more words). Translate each letter of each word including spaces and punctuation into its binary representation using the ASCII chart you were given. Note that lower case and upper case letters have different codes! (Don’t forget about spaces!)
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Section B: Working with Binary and Hexadecimal Numbers – 100 points
For the following questions show your work, that is, how you arrived at your answers. Use additional sheets of paper as needed to show your work.
- How many different symbols are used in the decimal (base 10) number system? (3 points total) ___________
- How many different symbols are used in the binary (base 2) number system? Write your answer in decimal and binary: (2 points total)
- Decimal: ___________
- Binary: ___________
- Decimal: ___________
- How many different symbols are used in the hexadecimal (base 16) number system? Write your answer in decimal and hexadecimal: (2 points total)
- Decimal: ___________
- Hexadecimal: ___________
- Decimal: ___________
- Consider the decimal (base 10) number system: (3 points per question, 9 points total)
- How many different values can be represented in 3 decimal digits? ___________
- What is the lowest (starting) value? ___________
- What is the highest (ending) value? ___________
- How many different values can be represented in 3 decimal digits? ___________
- Consider the binary (base 2) number system: (3 points per question, 15 points total)
- How many different values can be represented in 6 binary digits (bits)? ___________
- What is the lowest (starting) value? ___________
Write it as a binary number. ___________
- What is the highest (ending) value? ___________
Write it as a binary number. ___________
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- How many different values can be represented in 6 binary digits (bits)? ___________
- Convert the decimal number 66 to binary and find the ASCII character represented by this number. (3 points per question, 6 points total)
- 66
10 > binary: ___________ - 6610 is the ASCII character code for: ___________
- 66
- Convert the decimal number 98 to binary and find the ASCII character represented by this number. (3 points per question, 6 points total)
- 9810 > binary: ___________
- 9810 is the ASCII character code for: ___________
- 9810 > binary: ___________
- Convert the following decimal numbers to binary.
Show your work. (3 points per question, 15 points total)
- 1010 > binary: ___________
- 1610 > binary: ___________
- 5710 > binary: ___________
- 10310 > binary: ___________
- 25510 > binary: ___________
- 1010 > binary: ___________
- Convert the following binary numbers to decimal and hexadecimal.
Show your work. (3 points per question, 18 total points)
- 011110102 > decimal: ___________
- 011110102 > hexadecimal: ___________
- 000111112 > decimal: ___________
- 000111112 > hexadecimal: ___________
- 101101012 > decimal: ___________
- 101101012 > hexadecimal: ___________
- 011110102 > decimal: ___________
- Convert the following hexadecimal numbers to decimal and binary.
Show your work. (3 points per question, 24 points total)
- CA > decimal: ___________ binary: ___________
- B0 > decimal: ___________ binary: ___________
- A1 > decimal: ___________ binary: ___________
- 49 > decimal: ___________ binary: ___________ Click here for more on this paper>>>>
- CA > decimal: ___________ binary: ___________
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