Consider a $1$ bit error correcting Hamming code. Let the codeword be $7$ bits and the

message $1100.$ Find the codeword $-$ show all work $-$ use a diagram like in the book.

Consider a CRC code used at a receiver. Let $G(x)=10011$ and $R(x)=1011000$ where $G(x)$

is the generator and $R(x)$ is the received codeword. Is there an error in the received

codeword? Note: since this is a receiver problem the check bits are in $R(x),$ you do not

have to calculate them.

PLEASE SOLVE BOTH PARTS TO THIS POST