In what base does the following addition NOT work: 13 + 13 = 26?
A) base six
B) base seven
C) base eight
D) base ten
E) It works in all of these bases.

Question

Quizplus · Accepted Answer

In base six, "13" represents one six and three units, so adding "13" to itself would result in "32" (since 6 + 6 = 12, and 3 + 3 = 6, which in base six would be written as "10" and "6" respectively, thus "32" in base six), not "26". In all other bases listed, "13" + "13" = "26" is valid because the base is high enough to accommodate the values without requiring a carry or adjustment.

In What Base Does the Following Addition NOT Work: 13