$1.$ Determine whether fl$(1+$ x$)>1$ in single$-$precision floating$-$point arithmetic, if

$($a$)$ x $=2^-24$

$($b$)$ x $=2^-24+2^-40$

$($c$)$ x $=2^-24+2^-50$

You will need to use the IEEE Rounding to Nearest Rule