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.