Does 124(base 5) represent an odd number? How can you determine whether a number is odd by looking at its base-five representation?

Any takers?:confused:

Printable View

- Oct 30th 2006, 11:47 AMt-leeBase 5
Does 124(base 5) represent an odd number? How can you determine whether a number is odd by looking at its base-five representation?

Any takers?:confused: - Oct 30th 2006, 12:10 PMThePerfectHacker
- Oct 30th 2006, 02:31 PMSoroban
Hello, t-lee!

Quote:

Does $\displaystyle 124_5$ represent an odd number? . . . no

How can you determine whether a number is odd by looking at its base-five representation?

Since the base is an odd number, it could be tricky.

But there is a simple rule:

. . Even number of odd digits: even

. . .Odd number of odd digits: odd

- Oct 30th 2006, 03:43 PMQuick
- Oct 30th 2006, 04:49 PMtopsquark
Yes, which means that $\displaystyle 124_5$ is odd which, in fact, it is. Don't let that 4 on the end fool you. What TPH was trying to say is that

$\displaystyle 1 \cdot 5^2$ is odd

$\displaystyle 2 \cdot 5^1$ is even

$\displaystyle 4 \cdot 5^0$ is even

odd + even + even = odd.

-Dan