The transmitted polynomial is found to be equal to $x^6+x^5+1.$ In this case the transmitted information bits are:

$($a$)1100001$

$($b$)00011000000$

$($c$)000011000001$

$($d$)$ neither $a,b$ or $c$

$\backslash$table$[[15\mathrm{.}2,($a$),($b$),($c$),($d$)]]$

Page $9$ of $16$

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At the receiver, the syndrome polynomial $S(x)$ is found to be equal to $x$ or $010.$ In this case:

$($a$)$ the $2^{nd}$ bit of the received frame is in error $($b$)$ the received frame is in error $($c$)$ both the received frame and the $2^{nd}$ bit are in error $($d$)$ the received frame is correct

$\backslash$table$[[15\mathrm{.}3,($a$),($b$),($c$),($d$)]]$