WASHINGTON—The Feb. 17 transition from analog to digital television broadcasts looms and as many as 8 million households are still unprepared, but the government program that subsidizes crucial TV converter boxes is about to run out of money.

People who still rely on analog TV sets to pick up over-the-air signals — whether it is through rabbit-ear aerials on TVs or antennas on the roof — will see their screens go dark when the changeover happens. To avoid that, those people have to switch to cable or satellite TV, buy a television set with a digital tuner or buy a converter box tha...

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