Int+2+Real+Number+Questions

1. What is the purpose of using floating point representation in binary numbering systems?

2. How many Bytes are commonly allowed by the computer system to store the mantissa?

3. How many Bytes are commonly allowed by the computer system to store the exponent?

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 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?