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Computer Science, Numerical Computing
Year 3
Determining the bias, largest and smallest floating point number and machine precision in IEEE single precision system.
Suppose in IEEE single precision, the width of the exponent field is 3, not 8, and the width of the fraction field is 5, not 23.
(a) What should the exponent bias be?
(b) What are the largest and smallest nonnegative normalized floating point numbers in this system?
(c) What is the machine epsilon of this system?
By OTA: Jie Xiong, MSc (IP)
OTA Rating: 3.1/5
What's included:
- Plain text response
Computing the number of intergers that can be represented using sign or two's complement. - Using a 32-bit word, how many different integers can be represented by
(a) sign and modulus;
(b) 2's complement? Express the answer using
powers of 2.
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