A communication system uses a $CRC-8$ code. This $CRC$ code will detect:

$($a$)$ all bit errors $($b$)$ all error bursts greater than $9$ bits $($c$)$ all error bursts less than $9$ bits $($d$)$ most error burst greater than $8$ bits

$\backslash$table$[[12\mathrm{.}1,($a$),($b$),($c$),($d$)]]$

A CRC code uses $x^6+x^5+x^4+1$ as the generator polynomial. This CRC code will not detect the following error pattern:

$($a$)100001$

$($b$)1000010011$

$($c$)1110001$

$($d$)0000100000$

$\backslash$table$[[12\mathrm{.}2,($a$),($b$),($c$),($d$)]]$

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The syndrome calculated at the receiver is found to be equal to $1.$ In this case:

$($a$)$ Only the first bit is in error

$($b$)$ the received frame is in error

$($c$)$ only one bit is in error $($d$)$ neither a$,$ b or c

$\backslash$table$[[12\mathrm{.}3,($a$),($b$)),($c$),($d$)]]$