Only Answer Part D! Thanks Floating Point Representation Consider a computer that stores information using 10...
Only Answer Part D! Thanks
Floating Point Representation
Consider a computer that stores information using 10 bits words. The first bit is for the sign of the number, the next 5 for the sign and magnitude of the exponent and the last 4 for the magnitude of the mantissa. The mantissa is normalized as described in class and in the textbook.
a. Convert 1 00010 1001 to a base-10 system
b. What is the highest number that can be stored on this computer?
c. What is the lowest positive number that can be stored on this computer?
d. Determine the machine epsilon.
Homework Answers
d. Mathematically, for each floating point type, it is equivalent to the difference between 1.0 and the smallest representable value that is greater than 1.0.
So, 1 00000 0001 = + 1.0625
So machine epsilon = 0.0625
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Only Answer Part D! Thanks
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