Question

(b) Write the next whole number after A59C thirteen in the base-thirteen system.

Answer 1

In base 13, we use the digits 0-9 along with A for 10, B for 11, and C for 12.

Then the number that comes after A59C₁₃ is

A59C₁₃ + 1₁₃ = A59(C + 1)₁₃

… = A59(10)₁₃

… = A5(9 + 1)0₁₃

… = A5A0₁₃

where I use parentheses to indicate we're adding C and 1 in the same digits place, then carry the 1 into the next digits place.