Department of Computer Science and Engineering, CUHK
ERG2020A (Fall 2007): Revision Exercise # 1
Posted: 4th Oct, 2007
1. Convert the following decimal numbers to binary: 1776, 1812, 1969, and 2000. Please
show your steps.
2. Convert the following numbers from the given base to the other three bases listed in the
table: (correct to 3 decimal places)
Decimal
Binary
Octal
Hexadecimal
289.42
?
?
?
?
1000101.101
?
?
?
?
235.6
?
?
?
?
E5A8.B
3. Convert the following decimal numbers to the indicated bases using the methods of
Lecture Note 1 page 18. (correct to 3 decimal places)
(a) 6789.6 to octal
(b) 1842.359 to hexadecimal
(c) 83.82 to binary
4. Division is composed of multiplications and subtractions. Perform the binary division
1011110
÷
101 to obtain a quotient and remainder.
5. The following calculation was performed by a particular breed of unusually intelligent
chicken. If the radix
r
used by the chicken corresponds to its total number of toes, how
many toes does the chicken have on each foot?
((35)
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 Spring '07
 LeeKinHong
 Computer Science, Binary numeral system, Decimal, following decimal numbers, following Boolean, following Boolean equations

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