Using some test cases, match these bit operations to their associated function:

$1.$ x & $1$ a$)$ Return x without trailing $1$s $($e$.$g$.11011111$ be comes $11000000)$

$2.$ x & $(1$ n$)$ b$)$ Unset the nth bit

$3.$ x & ~$(1$ n$)$ c$)$ Return true if nth bit is set $4.($x $$ y$)<0$

$4.($x $$ y$)<0$ d$)$ Return the minimum of x and y $5.$ y $(($x $$ y$)$ & $-($x $<$ y$))$

$5.$ y $(($x $$ y$)$ & $-($x $<$ y$))$ e$)$ Return true if x and y have opposite signs $6.$ x & $($x $-1)$

$6.$ x & $($x $-1)$ f$)$ Return true if x is odd, false if x is even $7.$ x & $($x $+1)$

$7.$ x & $($x $+1)$ g$)$ Return $0$ if x is a power of $2$ for x $>0$