August
1999 QUESTION 2 Total Marks: 20 Marks |
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| (a) | Explain how to perform negation in each of the
three fixed-point representations sign-modules, one's-complement and two's-complement.
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[3] |
| (b) | Express the number -5 in 4 bits in each of
these three representations.
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[3] |
| (c) | Give one advantage of one's-complement and
two's-complement representations over sign-modules.
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[1] |
| (d) | Give one advantage of one's-complement
representation over two's-complement.
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[1] |
| (e) | Give one advantage of two's-complement
representation over one's-complement.
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[1] |
| (f) | Explain how to convert a multi-digit decimal
number into binary-coded decimal and back again, and how to add two multi-digit BCD
numbers.
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[3] |
| (g) | Express the numbers B.AD16
and -1.238 in normalized floating-point format, using an 11-bit mantissa and
5-bit exponent, each in two's-complement format.
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[4] |
| (h) | Add the above two numbers, and give the result
in the same floating-point format.
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[4] |