We use again the binary floating point number system $$ from Q$2$

$($with $1$ bit for sign, $7$ bits for mantissa and $5$ bits for exponent$).$ And consider now another

binary floating point number system $$ with $1$ bit for sign, $11$ bits for mantissa and $5$ bits for

exponent. How many normalized numbers in $$ can you find in $(1,2),$ with $1$ and $2$ being

two consecutive normalized numbers in $?$ You will only earn $1$ point if you correctly list

out two example adjacent numbers in $$ and then count the $$ numbers in between.