IEEE 754 Standard Floating Point Representation

1) Convert the value 23.62510 to its binary representation.

2) Normalize the above value so that the most significant 1 is immediately to the left of the radix point. Include the corresponding exponent value to indicate the motion of the radix point.

3) Write the corresponding 32-bit IEEE 754 floating point representation for 23.62510.

4) Write the corresponding 64-bit IEEE 754 floating point representation for 23.62510.

5) What would be the smallest positive normalized 32-bit IEEE 754 floating point value?

6) The smallest positive denormalized 32-bit IEEE 754 floating point value has representation of

What value would it represent?

7) What would be the representation for the largest positive denormalized 32-bit IEEE 754 floating point?

8) How would you add two IEEE 754 floating point numbers?

9) How would you multiply two IEEE 754 floating point numbers?