The IEEE 754 floating point standard for computers with 16 bit words represents floating point numbers by a 10 bit fractional part and an 5 bit exponent. There is a sign bit and a hidden bit of 1 before the binary point is assumed. Exponents are stored as excess 15 with the highest value indicating overflow and the lowest value (i.e. 0) used for representation of 0.

Q: Give the least positive machine number on such computers with the property that adding one to the number obtains the same machine number on the computer