11111 × 11111 = _____

Look at the following pattern: 1^(2) = 1 11^(2) =121 111^2 = 12321 1111^(2)=1234321 11111^2 = 123454321 Make a conjecture about about each of the following : 111111^2=.............. 1111111^2=........... Check if your conjecture is true .

Subtraction: (1000001)_(2)-(11111)_(2)

Addition: (1000001)_(2)+(11111)_(2)