7. Let H0110011 be the parity check matrix of (4) whose columns 1 01 0101 are the integers from l to 7 written in their natural order in base 2. Let x = x1 x2 X3 x4 with Hx - 0. Suppose exactly one of xi,x2,x3,..., x7 is transmitted Xs X6 incorrectly. Explain why Hx identifles the wrong diglt. IHint: Since only Os and 1s are being transmitted, if xi is wrong, the digit sent is xi 1.]