1. In computing, floating-point arithmetic (FP) is arithmetic using formulaic representation of real numbers as an approximation. Read the excerpt below to fill in the blanks.
2. Over the years, a variety of floating-point representations have been used in computers. However, since the 1990s, the most commonly encountered representation is that defined by the IEEE 754 Standard
3. A simple method to add floating-point numbers is to first represent them with the same exponent. What is happening in this example?
4. To add two floating point numbers, the ___________needs to be aligned before normal binary addition takes place.
5. In the example below, what is happening at point 1 and 2?
6. Performing the following addition would give the answer: 0.11001111 011
7. What is the result of this addition?
8. What is the result of this binary point subtraction?
9. In floating point addition it is important to determine which exponent is the smaller. Rewrite that number using the larger exponent, so that the two exponents are now the same.
10. It is important to be careful when adding numbers with very different exponents since significant error can be introduced.
11. Fortunately, two things that can never occur when performing floating point binary addition is the problem of overflow and underflow.
12. In the above example, ‘a’ and ‘b’ are two fixed point inputs and 'c’ is the output of addition of a and b. Since both the inputs are
positive therefore output of a and b is ____________
13. Here a and b are negative
numbers, so addition of two negative numbers is always _____________
14. Here a and b are negative numbers, so subtraction of of two negative numbers is always ____________________
15. ‘a’ and ‘b’ are two fixed point inputs and
‘c’ is the output of subtraction of a and b. Since both the inputs are positive therefore output of a and b is ___________