) What is the amallest positive e) How to represent-1/87(3 points) Question 7(18

Question

) What is the amallest positive e) How to represent-1/87(3 points) Question 7(18points) lfwe use 4 bits EEE Std 754-1985·imilar oating point number represen- tation. We have 1-ga bit, 2 bits lor Exponat-nd 1 bits for Fraction. Exponents 00 and 11 are NOT reserved. Biss is 1. Here are questions: a) List all the NONNEGATIVE Boating point mamber representation by using 4 bits IEEE Std 754-1985 simir Boating point munmber sepresenta- tion: (5 points) b) If we are using the binary number system which use the left most one bit as the sign bit and the last one bit as the fraction part and the rest two bits as the integer part. List all the NONNEGATIVE Bloating point number representation by using this one.(5 points) e) Suppose we want to resolve a real problem and want to select a floating point representation. The typical values that we will use for this variable are:

Explanation / Answer

Solution:

a)

The standard floating point representation IEEE Std 754-1985 for all non-negative numbers will be:

0

b)

There are 4 bits i.e. 24=16. One bit is used as the sign bit and last bit is used as fraction bit. So, 14 bits are left and in this 7 bits are positive numbers and rest of 7 are negative numbers.

c part question is not completely provided.

I hope this helps, please let me know in case of any doubt. Thumbs up if this helped.

Sign Exponent Mantissa 0 00 0

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