Suppose we have just found yet another representation for floating point numbers. Using this representation, a $12-$bit floating point number has $1$ bit for the sign of the number, $4$ bits for the exponent and $7$ bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radix points must be a $1.$ Numbers in the exponent are in Excess$-7$ representation.

EXAMPLE

Represent: $12($i$.$e$.0010011)$

Represent it in Scientific Binary Notation: $1\mathrm{.}52^3=12$

COMPLETE THE FOLLOWING

Represent: $-8$

Represent it in Scientific Binary Notation: