If the floating-point number storage on a certain system has a sign bit, a 3-bit exponent, and a 4-bit significand:
问题 (Assume no bits are implied, there is no biasing, exponents use two’s complement notation, and exponents of all zeros and all ones are allowed.) I am trying to find the largest and smallest number that can be represented if the system is normalized. I thought that the largest number would be: .1111 x 2^4 = 0 100 1111 = 15 and the smallest: 1.0 x 2^-4 = 0 000 0001 = 0.0625 But the answers that I saw were: Largest: .1111 x 2^3 = 111.1 = 7.5 Smallest: 0.1 x 2^-4 = .00001 = 0.03125 I do not