The number of chips varies depending on the value of the type of cash you're trying to exchange for them. If I remember correctly it's 1, 20, 50, 100 value NCR Bills, Likewise with legion Denarii (although with a different exchange rate) and 1:1 for Caps.
The exchange rate seems to be:
1 cap = 1 chip
$1 (NCR) = 0.4 chips
1 Legion Denarius = 4 chips
This exchange rate does carry over to caps but a merchant will always take a cut of the caps unless you have a sufficient Barter skill level.
1 cap = 1 cap
$1 (NCR) = 0.4 caps
1 Legion Denarius = 4 caps