2. A computer memory system uses Hamming codes to detect and correct singlo-bit errors. The data words to be stored are 8-bits wide, as in D D,D&D,D4DsD2Di Do There are 4 parity bits (P, P2, P, P) combined with the 8 data bits to form the 12 bit word in the format shown in the first two rows of the Table shown next. This 12-bit word is then stored in memory Note that D, is the MSB for the actual data, and Do is the LSB for the actual data. The bottom row of the Table shows the 12-bits of a word as it was read from memory, which may or may not contain a single bit error. Assume that a multiple bit error did not occur; only a single bit error is possible for this case. 1 2 3 45 67 8 9 10 11 12 Bit position Bit type Word read from memory 0 10 0 1 (a) Is there or isn't there a single bit crror in the word as it was read from memory, and how (b) Based on your answer to part (a) above, what is the correct 8 bit data word (not including do you knou? the parity bits)