Does anybody remember when Computers were NOT folding laptops but were large white cubic things that sat atop your desk...the same went for the television: they were "blocky" things too, not the mere flat displays they are now. Clock faces were circular, with hour, minute, and second hands that moved around the dial. (The wristwatch my Mom wore for children's work had Donald Duck pointing with gloved fingers to the time.)
The younger generation seems to think digital displays are quicker and easier, but... Once you get used to "reading the dial", the mind sees the position of the arms on the clock, and you feel the general amount of time that way, don't have to think math, numbers anymore--but don't the new digital clocks make you have to think in NUMBERS?
No wonder the alarm didn't go off.