Question

Name two reasons to store floating-point numbers in normalized form. What is the advantage of using a bias as opposed to adding a sign bit to the exponent?

What is the most common representation used in most computers to store signed integer values? Give at least 3 reasons for your answer.

Answer 1

Numbers can be made into normalized form such that a normalized number provides more accuracy than the de-normalized number. The implied most significant bit can be used to represent even more accurate significand which is known as subnormal representation. floating point numbers should to be represented in the normalized form only.

The subnormal numbers fall into the de-normalized numbers. The subnormal representation slightly reduces the exponent range and that could result in an exponent which doesn’t fit in the field. Subnormal numbers are less accurate. Moreover, the subnormal representation is used in filing gaps of floating point scale near zero.

The advantage of using bias is that it could represent wide range of numbers and calculations ,such that they can be done faster.The purpose of this is that it enables high speed comparisons between floating point numbers.

2.Two's complement is the most common representation used in the most computers to store signed integer values.

1.Computer can't represent negative integers,so by using this method we can represent the negetive integers.

2.It is not only used for signed integers,it is also used for unsigned integers.

3.This method is more effective, while performing operations like addition and subtraction.