Here are the steps to validate Canadian Social Insurance Number SIN. A potential employee has provided their SIN number as $123456782.$ Here are the steps to verify whether the SIN provided is correct. Understand the following six steps followed by the Validity algorithm.

a$.$ Remove the check digit $($the last digit$)123456782$

b$.$ Now, extract the even placed digits: $12345678$

c$.$ Double them:

$2468$

$||||$

$481216$

d$.$ Add these digits together:

$4+8+1+2+1+6=22$

e$.$ Add the Odd placed digits:

$1+3+5+7=16$

f$.$ Total: $38$

Validity Algorithm:

a$.$ If the total is a multiple of $10,$ the check digit should be zero.

b$.$ Otherwise, Subtract the Total from the next highest multiple of $10(40$ in this case$)$

c$.$ The check digit for this SIN must be equal to the difference of the number and the totals from earlier $($in this case, $40-38=2$; check digit is $2,$ so the number is valid$)$