Information Retrieval

Chris is sending a string of length 14 consisting 7 1 s and 7 0 s to Agnishom. However, there was an error in the process. All the bits after a point is toggled ( 1 to 0 and vice versa). When Agnishom received the string, it looks like this :

1 1 0 1 1 0 0 1 1 1 0 0 1 0

How many bits can Agnishom confirm its value?

Details and Assumptions

• There is one and only one error occurs.
• Agnishom knows that initially there is 7 1 s and 7 0 s.
• The string starts from left to right. If position $p$ has an error, then bits in position $p, p+1, p+2, ...$ are toggled.