Evaluate 15+23+44-55+10 where all the e numbers are in base 6 system giving your answer in the same system
To evaluate the expression 15 + 23 + 44 - 55 + 10 in base 6 system, we first convert each number to base 10, perform the calculations, and then convert the final result back to base 6.
Converting the numbers to base 10:
15 (base 6) = 1 * 6^1 + 5 * 6^0 = 6 + 5 = 11
23 (base 6) = 2 * 6^1 + 3 * 6^0 = 12 + 3 = 15
44 (base 6) = 4 * 6^1 + 4 * 6^0 = 24 + 4 = 28
55 (base 6) = 5 * 6^1 + 5 * 6^0 = 30 + 5 = 35
10 (base 6) = 1 * 6^1 + 0 * 6^0 = 6 + 0 = 6
Performing the calculations in base 10:
11 + 15 + 28 - 35 + 6 = 25
Converting the result back to base 6:
25 (base 10) = 4 * 6^1 + 1 * 6^0 = 24 + 1 = 41 (base 6)
Therefore, the final result of 15 + 23 + 44 - 55 + 10 in base 6 system is 41.