Evaluate 15+23+44-55+19 where all the numbers are in base 6 system giving your answer in the same system
To evaluate the expression 15+23+44-55+19 in the base 6 system, we need to convert all the numbers into base 10, perform the arithmetic operation, and finally convert the result back into base 6.
Converting the given numbers into base 10:
15 in base 6 = 5*6^0 = 5
23 in base 6 = 3*6^1 + 2*6^0 = 18 + 2 = 20
44 in base 6 = 4*6^1 + 4*6^0 = 24 + 4 = 28
55 in base 6 = 5*6^1 + 5*6^0 = 30 + 5 = 35
19 in base 6 = 1*6^1 + 9*6^0 = 6 + 9 = 15
Performing the arithmetic operation in base 10:
5 + 20 + 28 - 35 + 15 = 33
Converting the result back into base 6:
33 divided by 6 is equal to 5 with a remainder of 3.
Thus, the result is 53 in base 6.