What is the last year that someone born in it could truly say they grew up in an analog world

1964.

Of course, it’s impossible to give a truly hard answer to your question, as the transition of many technologies from analog to digital has been very lengthy and multi-layered, and there’s still some analog technologies around.

When you say “grew up in”, I chose 18 years old to be my delimiter, that being the age of adulthood in many nations.

And I think that first major mass transition to digital technology was the introduction of the Compact Disk for distribution of audio recordings, in August 1982. Maybe I’ve forgotten something, but I think that was the first mass-market consumer technology that had a very long historical precedent of being done only via analog techniques, to suddenly being done by digital and optical laser techniques.

Unlike the short-lived LaserDisk (that preceded it by a few years) which was still largely analog in nature, Compact Disk was all digital, with audio data represented as numbers, Nyquist sampling theory, 16-bit resolution yielding a dynamic range of 96dB, Reed-Solomon Forward Error Correction, FRIGGEN LASERS, MAN!, and digital-to-analog converters unleashing the best quality audio ever heard by most people, in the CD players that hit the market that year.

Compact Disk was a freakin tour de force of modern digital technology and superlative engineering that was absolutely nailed by its co-creators, Philips and Sony.

1982 - 18 = 1964.

Which happens, coincidentally I expect, but none-the-less symbolically, to be the last year generally accepted to be that of the Baby Boomers, with 1965 heralding Gen-X. Gen-X invented the Internet and all its “digital technologies” contained therein, whereas Boomers have been pining for their old analog world since… well, since August 1982.

Although now that I think about it, digital watches and digital calculators pre-dated CD by many years, but digital watches were somewhat more niche and have failed to this day to displace analog watches, and digital calculators were only for some people, and hidden away in drawers when not in use.

But CDs? They took off like a rocket, and we showed off our prized CD collections on just about every possible artistic interpretation of a CD Stand the human mind was capable of conceiving, to anyone who entered our homes:

Not coincidentally, that was also around the same time that golden-eared wankers - aka ‘audiophiles’ - started doubling-down on their love of monstrosities like this, analog vinyl record players:

You see, Boomer’s minds could understand this: vinyl record with a groove containing an etching of sound, your music, spun around and picked up by the diamond-tipped needle, and amplified with some old-fashioned analog electronics, and 60dB dynamic range was as good as it got.

I also contend 1982 was around the time Boomers, unable to navigate the digital world springing up around them, started voting conservative.