2. A child's arithmetic homework is sent encoded as a binary string according to the Hamming (7,4) system. The 'messages' are defined be low. Encode the questions: 13 + 49, 259 -7 7, and decode and answer if possible the three questions:

00011100000010001110010001111100001000111001 00011110010010110101110001100100111010101111111 Do you suspect any uncorrectable errors?

Transcribed Image Text:

'Message' 0 1 2 3 4 5 6 7 4-bit string 0000 0001 0010 0011 0100 0101 0110 0111 'Message' 8 9 + - X space 4-bit string 1000 1001 1010 1011 1100 1101 1110