Add 124 +4021+42+424 in base 5?

In base 5, we have:

124 + 4021 + 42 + 424

Converting each number to base 10:

124 = 1*5^2 + 2*5^1 + 4*5^0 = 25 + 10 + 4 = 39
4021 = 4*5^3 + 0*5^2 + 2*5^1 + 1*5^0 = 500 + 0 + 10 + 1 = 511
42 = 4*5^1 + 2*5^0 = 20 + 2 = 22
424 = 4*5^2 + 2*5^1 + 4*5^0 = 100 + 10 + 4 = 114

Adding these in base 10:

39 + 511 + 22 + 114 = 686

Converting 686 back to base 5:

686 = 2*5^4 + 3*5^3 + 1*5^2 + 1*5^1 + 1*5^0 = 2*625 + 3*125 + 1*25 + 1*5 + 1*1 = 23111

Therefore, 124 + 4021 + 42 + 424 in base 5 is equal to 23111.

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