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?
Hello, t-lee!
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
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