As Philomel says. Also, technically there is a problem with low frequencies (AM band). Digital signals require more bandwidth than analogue signals. This isn't a problem at say 100MHz - allocating a 100KHz channel is 0.1% of the available at that frequency. At AM say 200KHz, 100KHz channel would take up the whole band. So instead of having 30 analogue channels on AM, you'd have one digital channel.
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If they converted to digital all radios would be obsolete immediately. The American public would have a fit and fire their government.
They use tubes, because semiconductors cannot produce enough power. FM audio quality is good enough without digital signals.
do 50kw stations still use broadcast tubes? why haven't am &fm stations converted to digital?