For every frame below that we represent in decimal, specify if it is right or it is not right. If it is not right specify the right data block if it can be recovered. The data frame format is specified below, where the redundant CRC is the reminder of the binary division and the parity bit is duplicated at the end of the frame.

Mask for a $8-$bit frame: $2$ bits CRC $+3$ bits Data Block $+2$ bits CRC $+1$ bit Pb $($duplicated$)$

$1.-37311$

$2.-04000$

$3.-25200$

$4.-15211$

$5.-25100$

Solution:

For the analysis of the validity of data for every data frame we will take into consideration the following table to get the CRC associated to the data bits in the frame

Data bits$($decimal$)--$ Data$\_$bits$(3-$bit binary$)--$ CRC$($decimal$)--$ CRC$(2-$bit binary$)--$ Parity bit

$00000000$

$10011011$

$20102101$

$30113110$

$41000001$

$51011010$

$61102100$

$71113111$

By default a frame is considered free of errors if the CRCs and the Parity bits are the same and compatible with the data bits, in any other case we will take into consideration the valid options in an analysis of data, if the compatible solution is unique we can recover the frame otherwise the frame cannot be recovered.

$1.37311->111111111$

Error detection: VALID DATA FRAME

CRC: CRCs match and are consistent with the data bits in the frame.

Pb: The parity bits match and are consistent with even$-$parity in the frame.

Error correction: N$/$A

Data Analysis: N$/$A

$2.04000-->001000000$

Error detection:

CRC:

Pb:

Error correction:

Data Analysis:

$3.25200-->101011000$

Error detection:

CRC:

Pb:

Error correction:

Data Analysis:

$4.15211-->011011011$

Error detection:

CRC:

Pb:

Error correction:

Data Analysis:

$5.25100-->101010100$

Error detection:

CRC:

Pb:

Error correction:

Data Analysis:

Fill out the empty fields after : like Error detection, CRC$,$ Pb$,$ Error correction, Data Analysis.

Before solution: Are the $5$ we are checking