Although it is not commonly used, MATLAB allows numbers to be expressed in single precision. Each value is stored in $4$ bytes with bit for the sign, $23$ bits for the mantissa, and $8$ bits for the signed exponent. Determine the smallest and largest positive floating$-$point numbers as well as the machine epsilon for single precision representation. Note that the exponents range from $-126$ to $127.($Round the final answers to four decimal places.$)$

The smallest positive integer value is ${10}^{-38}$

The largest positive integer value is ${10}^{38}$

The machine epsilon in single precision is ${10}^{-7}.$