London Stock Exchange - No trading floor?

In this article it says the London Stock Exchange’s new headquarters does not have a trading floor. Does this mean there is not a trading floor for the exchange anywhere or is there still a trading floor in another older location?
http://news.yahoo.com/news?tmpl=story&u=/ap/20040727/ap_on_bi_ge/britain_stock_exchange_1

The LSE has been operating in a manner more akin to the floor-less NASDAQ than the NYSE since 1986.

From http://www.infoplease.com/ce6/bus/A0844270.html - many similar statements can be found in other sources.

Trading floors have been a quite obsolete concept for many years now. Most exchanges (stocks/commodities/etc.) have gotten rid of them (if they even had them in the first place).

The NYSE seems to be the most likely exchange to retain a trading floor for purely nostalgic reasons longer than any other. A sad commentary on the people involved.