Since we have only one bit for the exponent, but allow it to be positive or negative, whatever number is given by the mantissa is multiplied by = 1, or . With 5 bits for the mantissa, the largest that can be is . Since that can be multiplied by 2, the largest number that can be represented in that way is 2(63)= 126 and, of course, 127 will cause overflow. The smallest non-zero mantissa is, of course, 00001= 1. Since it can be multiplied by 1/2, the smallest positive number that can be represented in that way is 1/2. There are different mantisas of which 31 are non-zero. Those, combined with the three possible mantissas, gives 3(31)= 93 different positive numbers. Adding the 93 different negative number, and, of course, 0, there are 187 different numbers representable in this way.