1. Explain with examples the terms:

i. Error

ii. Absolute error

iii. Relative error

iv. Significant figures in a number

2. The number 122.25 is an approximation of 122.24562. Find:

i. Error

ii. Absolute error

3. A real number x is represented approximately by 5. If the relative error is 1%, what is x? Show computation.

4. Round 1050.709123 to:

i. A whole number

ii. Three decimal places

iii. Three significant figures

5.

i. Write 307.218 in scientific notation.

ii. Write 0.00307218 in normalized scientific notation.

6. In IEEE Standard 32 bit floating point representation:

i. How many bits are used for the mantissa?

ii. How many bits are used for the exponent?

iii. Which bit is used as the sign bit?