Higher+Real+Number+Questions

1. Why is there a need to represent numbers using floating point representation ?

2. What is the effect of increasing the number of bits used to store the mantissa in a floating point number ?

3. What is the effect of increasing the number of bits used to store the exponent in a floating point number ?

4. 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

5. If you have 12 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 range of positive and negative numbers that you can use?