ITEC 1000 York University Decimal Numbers Systems Assignment 3. [2marks] Convert the binary number 0.1001101 to Base10 fraction; show your work indicating

ITEC 1000 York University Decimal Numbers Systems Assignment 3. [2marks] Convert the binary number 0.1001101 to Base10 fraction; show your work indicating the values
in play. Give your answer as a fraction; do not convert using a calculator.
4. [ 2 marks] Convert the binary number 100101.11011 to Base10; show your work indicating the values in
play. Give your answer as an integer and a fraction; do not convert using a calculator.
5. [4 marks] Convert decimal numbers, 35, 29, 15, 3 to standard binary numbers and sum all four numbers
together (not individual pairs). Show your work by aligning each value appropriately to each other
indicating the appropriate carry and sum values for each column.
• Use non-proportional font Courier New, 14pts. to line up each column in showing your operation.
6. [5 marks] Using the minimum required number of bits in 2’s complement notation, perform 22 – 15
by preserving addition. Show the relevant process for deriving the final 2’s complement number. Again,
as you did in #5 above, use non-proportional font Courier New, 14pts. to line up each column in your
operation.
7. [5 marks] Refer to the ASCII Code table in the Englander text Chapter 4 (Figure 4.3 p.106 5th ed.) and
decode the ASCII (hex) message below:
576F726B20536D6172746572204E6F7420486172646572203B6F29
8. [5 marks] On average, a typical page of text holds roughly 2000 characters. Approximately how many
pages of Unicode text can a storage media with 4 Gigabyte of free space hold? Describe clearly each step
in the process of unit conversions and calculations required for full marks.
Note: A calculator should not be used in answering this question; only an approximation is required –
each prefix unit increases by roughly 1000 times; identify them as you proceed. Also the result does
not include space used for illustrations and the like or fonts and graphic formatting used for
WYSIWYG display, which would require some space. Nonetheless, the result gives a good idea of
the incredible capacity.
9. [2 marks] The MP3 audio format is described as “almost CD quality”. What characteristic of
MP3 makes this description accurate? SU20 ITEC1000A Assignment #1
Due June 10, 10 PM: No late submissions
Problems: [35 Marks Total]
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•
•
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Use a word processor (e.g. MS Word) and present the problems and solutions that include
properly formatted tables, aligned digits, etc.
Inserted images, hand-written or drawn material is not allowed.
File must be saved in one of the following formats: .doc, .docx, .rtf or .pdf
Name the file with your full name, e.g., Irv_Englander.docx
Upload via the link provided before system shuts down May 10 precisely at 10PM; no
exceptions.
1. [4 marks] Complete the table below and convert the binary number 10011110 to decimal.
Position/Exponent
Position #
7
6
5
4
3
2
1
0
Digit Value
Binary
Number
2. [6 marks] Using the grouping technique, convert the binary number 1101101001010111 to the
base system number indicated. Explain your strategies for each conversion.
•
Quaternary: group and evaluate each 2 digits right to left
•
Octal: group and evaluate each 3digits right to left
•
Hexadecimal: group and evaluate each 4 digits right to left
Quarternary (4)
Octal (8)
Hexadecimal (16)
1 of 2
3. [2marks] Convert the binary number 0.1001101 to Base10 fraction; show your work indicating the values
in play. Give your answer as a fraction; do not convert using a calculator.
4. [ 2 marks] Convert the binary number 100101.11011 to Base10; show your work indicating the values in
play. Give your answer as an integer and a fraction; do not convert using a calculator.
5. [4 marks] Convert decimal numbers, 35, 29, 15, 3 to standard binary numbers and sum all four numbers
together (not individual pairs). Show your work by aligning each value appropriately to each other
indicating the appropriate carry and sum values for each column.
• Use non-proportional font Courier New, 14pts. to line up each column in showing your operation.
6. [5 marks] Using the minimum required number of bits in 2’s complement notation, perform 22 – 15
by preserving addition. Show the relevant process for deriving the final 2’s complement number. Again,
as you did in #5 above, use non-proportional font Courier New, 14pts. to line up each column in your
operation.
7. [5 marks] Refer to the ASCII Code table in the Englander text Chapter 4 (Figure 4.3 p.106 5th ed.) and
decode the ASCII (hex) message below:
576F726B20536D6172746572204E6F7420486172646572203B6F29
8. [5 marks] On average, a typical page of text holds roughly 2000 characters. Approximately how many
pages of Unicode text can a storage media with 4 Gigabyte of free space hold? Describe clearly each step
in the process of unit conversions and calculations required for full marks.
Note: A calculator should not be used in answering this question; only an approximation is required –
each prefix unit increases by roughly 1000 times; identify them as you proceed. Also the result does
not include space used for illustrations and the like or fonts and graphic formatting used for
WYSIWYG display, which would require some space. Nonetheless, the result gives a good idea of
the incredible capacity.
9. [2 marks] The MP3 audio format is described as “almost CD quality”. What characteristic of
MP3 makes this description accurate?
2 of 2

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