Imagine a computer that stores floating point number system using $13$ bits. The

mantissa, $m$ satisfies the normalization criteria:

$\frac{1}{b}m<mn\; id="EditorElement\_3615780">1</mn>$

Where $b$ is the base. There are eight digits in the mantissa. Assume that two's

complement is not used $($like the examples we saw in lecture$).$

a$)$ What is the binary representation of the smallest positive number that

can be stored on this computer?

b$)$ What is the value of this smallest positive number in decimal?

c$)$ What is the binary representation of the negative number with largest

magnitude that can be stored using this representation?

d$)$ What is the value of the negative number with largest magnitude in dec$-$

imal?

e$)$ What is the machine epsilon for this system?