SD+&+D+Real+Numbers

media type="custom" key="27898261"


 * Questions**

1. Use an example to illustrate the mantissa of a floating point number?

2. Use an example to illustrate the exponent of a floating point number?

3. Convert the following binary numbers into floating point representation (using 8 bits for the mantissa and 4 bits for the exponent) (a) 111.1011 (b) 100001.11 (c) 11.1011 (d) 101.0001 (e) 10001.101

4. Convert the following decimal numbers to binary floating point representation using 8 bits for the mantissa and 4 bits for the exponent (a) 17.5 (b) 81.25 (c) 200.75 (d) 0.125

5. If you have 8 bits for your mantissa and 4 bits for your exponent, what is the largest and smallest positive number that you can have?

6. If you have 8 bits for your mantissa and 6 bits for your exponent, what is the largest and smallest positive number that you can have?

7. State an advantage of using floating point representation

8. State a disadvantage of using floating point representation

9. What is the effect of increasing the number of bits used to represent the mantissa?

10. What is the effect of increasing the number of bits used to represent the exponent?