# week04_soln.pdf - Mat1101 Tutorial Week 4 Bases and Number...

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Mat1101 Tutorial Week 4Bases and Number RepresentationGrossman Chapter 31. Find the 16-bit computer representation of the following integers.(a)1880
(b)−1880
(c)519
(d)−519
2. How do the representations in Question 1 change if the computeruses 32-bits to represent integers?(a)1880
(b)−1880
(c)519
(d)−519
3. Write the following binary numbers in normalised exponentialform.(a)1110100112
(b)0.000011101012
(c)1101.0011012= 0.11010011012× 24(d)111010011.000110101112= 0.111010011000110101112× 294. Assume that on a particular 16-bit computer, 7 bits are reservedfor the mantissa.(a) Compute the exponent bias for this computer.
(b) Find the floating point (real) number computer representa-tion of the four numbers given in Question 1 above.
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Term
Fall
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Tags
Decimal, Rational number, Complex number
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