Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols.
-base six, four distinct symbols
A)4095
B)4096
C)1296
D)1295

Question

Quizplus · Accepted Answer

In a base-six system with four distinct symbols (0, 1, 2, 3), the largest number expressible with these symbols would be "3333" (in base six). Converting "3333" from base six to base ten gives 3*(6^3) + 3*(6^2) + 3*(6^1) + 3*(6^0) = 1296 - 1 = 1295.

Identify the Largest Number Expressible in a Simple Grouping System