Number systems and Hamming code Computer uses ASCII code to represent each English letter. For example, Lowercase G is represented by 71 in decimal.

a) Convert the decimal number 71 to binary, which is the representation of G in binary. It should have 7 bits.

b)Construct a Hamming Code with 1-bit error correction capability for letter G (please use odd parity check). The checking information of each checking bit is given as follows. c) ] If the memory storing the Hamming code of G suffers a power surge and the 6th bit from the left-most of the Hamming code is flipped over accidently, please briefly describe how the system catches this one-bit error and corrects it. Bit 1 checks bits 1,3,5,7,9,11,13,15,17,19,21, Bit 2 checks bits 2,3,6,7,10,11,14,15,18,19, Bit 4 checks bits 4,5,6,7,12,13,14,15,20,21, Bit 8 checks bits 8,9,10,11,12,13,14,15, Bit 16 checks bits 16,17,18,19,20,21,