Consider the two numbers A=3.0 and B=−3.5. We would like to use the IEEE 754 standard representation. In this problem, we assume an 8-bit representation with 1 bit for sign, 3 for exponent in excess-3 notation (means the bias is 3), and 4 bits for the mantissa.

1. What is the minimum positive number that can be represented if the significand is normalized?
2. What is the maximum positive number that can be represented?
3. What decimal number is represented by the bit pattern 10000001 ?
4. Find the IEEE 754 binary representation of the numbers A and B.
5. Compute P=A×B using the binary (not decimal) floating-point representations of A and B.