Talk:2023 AMC 8 Problems/Problem 8

solution 4 (binary addition)

We can start by assuming that Lola and Lolo remain undefeated across all 6 matches (although impossible with the conditions given) and take the sum of the four competitors score after changing them from binary to base 10,We get ( 111111_{2} + 0 + 0)=

\[126_{10}

So the solution to this problem is\] (Error compiling LaTeX. Unknown error_msg)

126_{10} - 101010_{2} -

\[010100_{2}= 126-59-42-20=126-(59+42+20）=126-121=5
now we transfer 5 into binary to get the result\] (Error compiling LaTeX. Unknown error_msg)

101_{2},we add the supplementary zeros to get our answer \boxed{A000101}$