CMIS 310 – Homework Week 1 – Answer Key
Porto – Spring 2012
Instructions
This is an openbook
individual
homework assignment comprised of several objective
questions, focused on the content studied during this particular week. This is due at the
end of the week according to the class schedule.
Guidelines
1* You should submit your exam to your assignment folder in WebTycho in a MS
Word (.doc or .docx) file.
2* Reference the questions by their number, or by repeating their text.
3* Be as clear and objective as you can in all questions and be sure you are
answering what is asked.
4* Justify all your numerical answers, SHOWING CLEARLY HOW YOU
OBTAINED YOUR RESULTS.
5*
Put your name on your assignment
.
6* Remember, the assignment is to be taken in accordance with the UMUC honor
Code.
Questions
1.
Base conversions
. Consider the following numbers, with the base specified as a
subscript. Find X with the given base, and show your mental process and work to get
to the final answers.
a.
312
5
= X
8
Convert from base 5 to base 10, then from base 10 to base 8.
(3 * 5^2) + (1 * 5^1) + (2 * 5^0) =
(3 * 25)
+ (1 * 5)
+ (2 * 1)
=
(75)
+ (5)
+ (2)
= 82
10
I find it easier to go through the binary, but you don’t have to.
82 = 64 + 16 + 2 = 1(010)(010) in binary = 122 on base 8
312
5
= 82
10
= 122
8
b.
56
10
= X
4
I find it easier through binary.
56 = 32 + 16 + 8 = (11)(10)(00) in binary = 320 on base 4
2.
Decimal / BinaryOctalHexadecimal

Compute the following conversions, and
show your mental process and work to get to your final answers.
a.
100
2
in octal, in decimal and hexa: 4
b.
100
16
to binary, octal, & decimal
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View Full Document0001 0000 0000 in binary
16^2 = 256 in decimal
000(1 00)(00 0)(000) = 400 in octal
c.
75
10
75 = 64 + 8 + 2 + 1 = 1001011 in binary
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 Spring '09
 Binary numeral system, mental process, odd parity, Even Parity

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