Data on bilateral real exchange rate Where can I find bilateral real exchange rates? For example per USD?

I can only find real effective exchange rates, but it is an index, not a bilateral rate.
Check out this link from the United States Department of Agriculture. 

This data set contains annual and monthly data for exchange rates. It includes both bilateral nominal and real exchange rates for 79 countries, plus the European Union, as well as real trade-weighted exchange rate indexes for many commodities and aggregations. All series are updated quarterly. Data series start at the beginning of 1970 and run to the last available data point.

As pointed out by @luchonacho, real exchange rates here are derived by multiplying the nominal exchange rate by the ratio of the U.S. to local currency Consumer Price Index