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 Prescribes In rank Activity and Homework els w The forthcoming 5 questions pertain to the normalized floating-point enumerate prescribe F with B-4, p = 2, m=-1,and M = 2: 1. How numerous dogmatic enumerates are there in F? 48 2. List full of these dogmatic enumerates, in some sedate prescribe (in infamous 4, of route). 3. What is the meanest dogmatic enumerate? 4. What is the largest enumerate? 330 C6os 4 5. What are the spacings among enumerates in each interim limited by the manifold consideration de ent effectivenesss of 4?

    Detailed please

    The forthcoming 5 questions pertain to the normalized floating-point enumerate prescribe F with B = 4, p = 2, m = -1, and M = 2: 1. How numerous dogmatic enumerates are there in F? 2. List full of these dogmatic enumerates, in some sedate prescribe (in infamous 4, of route). 3. What is the meanest dogmatic enumerate? 4. What is the largest enumerate? 5. What are the spacings among enumerates in each interim limited by the manifold consideration effectivenesss of 4? A Floating-point enumerate prescribe is the regular of enumerates defined by the forthcoming sound parameters: A infamous, B A preciseness, p A restriction interpreter, m (usually indirect) A acme interpreter, M

    Expert Response

     

    Entirety enumerates in the prescribe is abandoned by 2(B-1)(Bp-1)(M-m+1)+1
    1. This gives the entirety enumerates be 97(which includes cipher); Therefore entirety dogmatic enumerates is (97-1)/2 which gives 48.
    2. Dogmatic enumerate in the prescribe 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. Meanest 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 interim limited by the effectiveness of 4 is (1/4)10 which is (0.01)4