Homework Solution: The following 5 questions pertain to the normalized floating-point number system F with B = 4, p = 2, m…

    Module 2-Floating-point Number Systems In class Activity and Homework els w The following 5 questions pertain to the normalized floating-point number system F with B-4, p = 2, m=-1,and M = 2: 1. How many positive numbers are there in F? 48 2. List all of these positive numbers, in some reasonable order (in base 4, of course). 3. What is the smallest positive number? 4. What is the largest number? 330 C6os 4 5. What are the spacings between numbers in each interval bounded by the various table de ent powers of 4? Detailed please
    The following 5 questions pertain to the normalized floating-point number system F with B = 4, p = 2, m = -1, and M = 2: 1. How many positive numbers are there in F? 2. List all of these positive numbers, in some reasonable order (in base 4, of course). 3. What is the smallest positive number? 4. What is the largest number? 5. What are the spacings between numbers in each interval bounded by the various table powers of 4? A Floating-point number system is the set of numbers defined by the following integral parameters: A base, B A precision, p A minimum exponent, m (usually negative) A maximum exponent, M

    Expert Answer

     
    Total numbers in the system is given by 2(B-1)(Bp-1)(M-m+1)+1 1. This gives the total numbers be 97(which includes zero); Therefor

    Module 2-Floating-point Enumerate Arrangements In arrange Activity and Homework els w The forthcoming 5 questions pertain to the normalized floating-point enumerate arrangemirritate F with B-4, p = 2, m=-1,and M = 2: 1. How frequirritate direct enumerates are there in F? 48 2. List complete of these direct enumerates, in some temperate appoint (in ignoble 4, of method). 3. What is the last direct enumerate? 4. What is the largest enumerate? 330 C6os 4 5. What are the spacings among enumerates in each meantime restricted by the diversified consultation de irritate mights of 4?

    Detailed please

    The forthcoming 5 questions pertain to the normalized floating-point enumerate arrangemirritate F with B = 4, p = 2, m = -1, and M = 2: 1. How frequirritate direct enumerates are there in F? 2. List complete of these direct enumerates, in some temperate appoint (in ignoble 4, of method). 3. What is the last direct enumerate? 4. What is the largest enumerate? 5. What are the spacings among enumerates in each meantime restricted by the diversified consultation mights of 4? A Floating-point enumerate arrangemirritate is the established of enumerates defined by the forthcoming undivided parameters: A ignoble, B A preciseness, p A insufficiency advocate, m (usually indirect) A culmination advocate, M

    Expert Tally

     

    Sum enumerates in the arrangemirritate is loving by 2(B-1)(Bp-1)(M-m+1)+1
    1. This gives the sum enumerates be 97(which includes naught); Therefore sum direct enumerates is (97-1)/2 which gives 48.
    2. Direct enumerate in the arrangemirritate is 0.01, 0.02, 0.03, 0.10, 0.11, 0.12, 0.13, 0.20, 0.21, 0.22, 0.23, 0.30, 0.31, 0.32, 0.33, 1.0, 1.01, 1.02, 1.03, 1.10, 1.11, 1.12, 1.13, 1.20, 1.21, 1.22, 1.23, 1.30, 1.31, 1.32, 1.33, 2.0, 2.01, 2.02, 2.03, 2.10, 2.11, 2.12, 2.13, 2.20, 2.21, 2.22, 2.23, 2.30, 2.31, 2.32, 2.33, 3.0, 3.10, 3.11, 3.12, 3.13, 3.20, 3.21, 3.22, 3.23, 3.30, 3.31, 3.32, 3.33, 10
    3. Last enumerate is B^m which is 4-1 which is 1/4= (0.25)10 = (0.1000)4 ;
    4. Largest enumerate is (1-B-p)(BU+1) which is (1- 4-2) (0.0625)*(43)= (4)10 = (10)4;
    5. Spacings among enumerates in each meantime restricted by the might of 4 is (1/4)10 which is (0.01)4