Imagine a computer that stores floating point number system using $10$ bits. The mantissa, m satisfies the

normalization criteria:

$($

$)<1,$

where b is the base. There are four digits in the mantissa. Assume that two$$s complement is not used, and

that the computer uses chopping.

a$)$ What is the decimal representation of the floating$-$point number represented by $0001011011?$