There are two different types of requirements that banks have to maintain: capital requirements and reserve requirements. They are very different things, and reserve requirements aren't the important or binding one.
Capital requirements mandate how many assets banks must have relative to their liabilities. If a bank has $100,000 in deposits(=liabilities), their capital requirements mean they must have around $105,000 in assets (bonds, mortgages, etc.). There are also additional requirements about how much must be held in cash equivalents(T-bills, etc.). If a bank becomes too leveraged, or its assets decline sufficiently in value, then the FDIC takes the bank over.
Reserve requirements relate to how much of one kind of asset banks must have relative to their liabilities -- "bank reserves". "Bank reserves" are a special kind of currency issued by the Fed that only are used for accounting between the Fed and banks. Banks that are short of reserves overnight(say, because they got a bunch of deposits that day), must borrow them from other banks that have too many to maintain their reserve requirements.
Like Bernanke said, this overnight borrowing was a major issue during the crisis. Since any bank that was borrowing was at risk for going bankrupt overnight, there was immense counterparty risk generated by what was supposed to be payment clearing mechanism. The Fed wants to move towards having banks borrow from them overnight, instead of from other banks.
http://en.wikipedia.org/wiki/Federal_funds ,
http://en.wikipedia.org/wiki/Bank_reserves ,
http://en.wikipedia.org/wiki/Excess_reserves , and
http://www.winterspeak.com/2009/12/banks-are-even-more-super... may be informative.