In each of the following you are given a bit sequencecorresponding to the IEEE single precisionrepresentation of a floating-point number. In eachcase determine the base 2 floating-point representationof the number and also the base 10 decimalrepresentation of the number: 10111100010110000000000000000000
In each of the following you are given a bit sequencecorresponding to the IEEE single precisionrepresentation of a floating-point number. In eachcase determine the base 2 floating-point representationof the number and also the base 10 decimalrepresentation of the number: 10111100010110000000000000000000
Chapter3: Data Representation
Section: Chapter Questions
Problem 4PE
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Question
In each of the following you are given a bit sequence
corresponding to the IEEE single precision
representation of a floating-point number. In each
case determine the base 2 floating-point representation
of the number and also the base 10 decimal
representation of the number: 10111100010110000000000000000000
Expert Solution
Step 1
IEEE SINGLE PRECISION:
- The IEEE single precision is a standard for computation for floating point computation given by IEEE standards.
- This is one of the most common floating point number representation which is used by most of the computer systems.
- IEEE standard consists of three components using which the representation is formed:
- Sign bit - This gives the detail about the sign of the number, 0 represents that it is a positive number while 1 represents that it is a negative number.
- Exponent - The biased number is added to the exponent to get the value of the stored exponent.
- Mantissa - This is the part of the number which represent the notation about the floating point number.
- It represent the dynamic range of values by the implementation of the floating radix point.
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