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How far away can I have the antenna before I lose too much signal.
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We'd have to know 'how much' is there before we could determine what is 'too much' loss.
A fair estimate is that RG6 will loose about 5.5- 6.0 dB per 100' or about 17' per dB of loss per foot at the highest UHF channels. Fortunately, we can utilize amplification to overcome this cabling loss so it will become much, much less of an issue. With 100' of coax from the antenna to your splitter and a four port splitter plus another 50' of coax from the splitter to the furthest room (just a guess), a preamp with a gain of about 25-30 dB and low noise (2-3 dB, at most) would work out just fine. The most capable pre-amp I've seen lately that would fit that bill is the "new" CM7777.