Auto Corrector Using the Hamming Code: You have received a $7-$bit data, R$6$R$5$R$4$R$3$R$2$R$1$R$0,$

from a remote site. You know that this data has been coded using the Hamming code. Bit

positions of the data used for the Hamming code are shown below. Design an auto corrector

circuit that will correct a false bit. Assume that either no error can occur or only one error can

occur in this system. This circuit should not change the received data if no error is detected.

However, it should correct the false bit in the received data if an error $($single error$)$ is detected.

Draw the circuit schematic. You can use any digital gate or component.