Add the following $12-$bit binary $2\text{'}$s complement numbers. Then convert each number to decimal and check the results,

a$.011001101101+111010111011$

b$.101011001100+111111111100$

Use the format SEEEEMMMMMMM $(4$ bits exponent and $7$ bits Significand$/$Mantissa$).$ The exponent is stored excess$-6.$ The implied decimal point is at the beginning of the mantissa. The sign is $1$ for a negative number. Answer following questions:

a$.$ Convert the decimal number $235$ to floating point.

b$.$ What is the range of numbers that can be stored in this format?

c$.$ If we ask the computer to output the number stored as a$.$ in decimal format, what the display will be$?$