A hypothetical 12-bit computer represents floating point numbers with one sign bit, six bits of exponent in twos complement format, and five bits of significand (fraction.) That is, S EEEEEE FFFFF. The exponent represents a power of two. The fractional part is normalized and there is a no "hidden" bit; all fractional bits are explicitly stored.

First, convert the exponent and significand of the following number, separately, to decimal; show your work. (Hint: don't forget that the significand has an implied binary point.)

0 000010 10000

Now, compute the decimal value of this number using the exponent and significand from the previous part; show your work.

Note: This is an invented format, designed to make problems such as this one easy to work. Real computers use one of the IEEE 754 formats.