Answer:
The check digits
a) x₁₂ ≡ 5( mod 10 )
b) x₁₂ ≡ 2( mod 10 )
c) x₁₂ ≡ 0( mod 10 )
d) x₁₂ ≡ 3( mod 10 )
Step-by-step explanation:
Given the data in the question;
We know that the formula for determining the UPCs check is;
3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )
now we will substitute the given values to determine the value of the last bit
a)
73232184434
we substitute into the formula
3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 5( mod 10 )
b)
63623991346
we substitute into the formula
3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 2( mod 10 )
c)
04587320720
we substitute into the formula
3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 0( mod 10 )
d)
93764323341
we substitute into the formula
3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 3( mod 10 )
