A machine stores floating point numbers in $7-$bit word. The first bit is stored for the sign of the number, the next three for the biased exponent and the next three for the magnitude of the mantissa. You are asked to represent $33\mathrm{.}35$ in the above word. The error you will get in this case would beIn $32$ bit representation the scale factor as a range of $\_\_\_\_\_\_\_\_$