Question

I need help 5.11
http://prntscr.com/5ubojg

Answer 1

\(message =11000010\\
m_0=0\\
m_1=1\\
m_2=0\\
m_3=0\\
m_4=0\\
m_5=0\\
m_6=1\\
m_7=1\\
8+k>2^k\\
k=4 \\
c_0=m_0+m_1+m_3+m_4+m_6=0+1+0+0+1=0\\
c_1=m_0+m_2+m_3+m_5+m_6=0+0+0+0+1=1\\
c_2=m_1+m_2+m_3+m_7=1+0+0+1=0\\
c_3=m_4+m_5+m_6+m_7=0+0+1+1=0\\ \)

so check bits are 0010
and message would be
110000010010

Answer 2

i think there is something wrong though

Answer 3

Yeah you wrote 8+k>2^k and k=4...

12 > 16

Haha I don't really know though, I learned very little of this when I was trying to research modular arithmetic in matrices and that's how I learned about hamming codes a little, idk maybe this helps: http://michael.dipperstein.com/hamming/#example1

I don't know though, it seems like what you're doing is different since from what I learned in there is that for every 4 bits you have to send 3 check bits, so if you're sending 8 bits, then I would have guessed you need to send 6 check bits, but I don't know if that's how it actually works..

Answer 4

@Kainui haha
that was a typo
8+k<2^k