Problem 4: (25 points) Consider a computer that uses the IEEE 754 standard to represent numbers in terms of a 20-bit word: it stores numbers using the convention where s is the sign bit, fis the fraction, c is the characteristic and b is the bias, equal to 31. The 20 bits are allocated as follows: the first bit is the sign bit, the next 6 bits relate to the characteristic, and the last 13 give the fraction. In accordance with the IEEE standard, infinity corresponds to all the characteristic bits equal to 1 (c-1 1 1 1 1 1 ), and zero corresponds to all the characteristic bits equal to 0 (c-0 0 0 0 0 0 ). For this computer, determine: a) the largest positive number b) the smallest positive number c) the machine epsilorn For a) and b), show the computer word as well as the equivalent decimal value, and show all your work to relate the two. Express the decimal values with 5 significant figures and use chopping. To simplify your calculations, you may find the following relationships useful: 2' = 2n+1-1