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, MDetailed 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

^{p-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})(B^{U+1}) which is (1- 4^{-2}) (0.0625)*(4^{3})= (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}