1. What is the smallest positive number in the single precision IEEE standard? 2

ID: 1861515 • Letter: 1

Question

1. What is the smallest positive number in the single precision IEEE standard?

2. What is the largest positive number in the single precision IEEE standard?

3. What is the smallest normal number in the single precision IEEE standard?

4. What is the value of the relative round off error (eps) in the single precision IEEE standard?

5. What is the value of infinity in the single precision IEEE standard?

6. How many sub ranges are defined in the single precision IEEE standard?

7. How many numbers are defined within each subrange for single precision IEEE standard?

8. How many numbers are defined, between 0 and ?, in the IEEE single precision standard?

9. How many decimal places of accuracy can be achieved in the single precision standard?

10. What is the ratio infinity in the double precision standard to infinity in the single precision standard?

1. 0 00000000 00000000000000000000001 = +1 * 2**(-126) *0.00000000000000000000001 =

4.The relative error (assuming u 6= 0) is |u?v|/u

where u quantity

and its approximation v.

5. 7f80 0000 = infinity

ff80 0000 = -infinity

0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

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