Last three digits are 472

Consider the last 3 digits of your student ID composed of seven digits. Ignore all zeros, add 42, and convert the remaining digits to binary format (each digit is represented by a maximum of 4bits). For example, 6000385 is simplified to 385+42-427 and then converted to 0100 0010 0111. Assume now that we want to send your student ID while being able to detect and correct single bit errors. 1.1) Using two-dimensional parity check show what will be transmitted using datawords of size 4bits simplified binary student ID. Dataword size is 12bits. and from right). 1.2) Using the hamming code show what would be the codeword that corresponds to your 1.3) Assume that a single bit error occurred and corrupted the 8h bit (numbering starts from 1 a) Show that the receiver of such corrupted codeword will be able to correct the error when using the hamming code. b) Can this error be corrected if the two-dimensional pari how in details. ty check is used? If Yes say