Zenith Z212B CD clock radio

Can you comment with the model number? It will be on the information sticker on the radio itself. It will possibly start with 'CRX-'.
Try this - Press and hold the alarm set button until the display flashes like your setting the alarm time. Click the same button again and it should swap between buzzer and radio each time you click it. It will probably show some sort of logo on the display telling you which it is set to.

1) tune the desired station frequency
2) while the frequency is being displayed, quickly press the memo set/clock adjust button.
3) press the desired preset button
4) press the memo set/clock adj button again
5) the station will be stored

To set the Alarm press the Alarm Set button then use the set buttons on top change the Alarm time. Use the to change the Alarm time, when the Alarm time is set press and hold enter until you hear a beep. Press the Alarm On/Off button to select radio or buzzer for the alarm or alarm off.
http://portablemedia.manualsonline.com/support/zenith/clock-radio/zenith-1233a-how-do-you-set-the-time-on-the-clock-4514622

Press "display" and make sure the radio is displaying frequency, not time.
Tune the radio frequency you want to add to memory. Press "Memo Set" and observe that "preset" flashes on the display.
Press the number of the memory channel that you want to save to.
Press "Memo Set" and observe that "preset" on the display has stopped flashing.
The frequency is now saved the selected channel.

March 5, 2015.
I'm selling these Zenith Z1233BA Clock Radios
on ebay. I have sold about 10 without any problems, but someone just ask if I know where the get the instructions. I could not find the manual online.
Here are some of the basic.
To set the time set the lock button on the bottom to off, press the clock button, the clock will flash then use the set buttons on top to change the time. Use the <> to change the time, when the time is set press and hold the enter button until you hear a beep. You have to cycle through all the minutes to get to the next hour. Do the same to set the zone. And to set the Date select the CAL button and do the same as setting the time. Put it back on lock when the time, date and zone are set.

To set the Alarm press the Alarm Set button then use the set buttons on top change the Alarm time. Use the <> to change the Alarm time, when the Alarm time is set press and hold enter until you hear a beep. Press the Alarm On/Off button to select radio or buzzer for the alarm or alarm off. To set the PRESETS tune the radio to the station you want to be a PRESET, then press and hold a PRESET button until you hear a beep.

Check your antenna. If the mast is not extended, your reception will be limited. try an AM station, usually a local AM station will still come in even with the mast down. Have you tried playing a CD (if equipped) ? If that plays well, you've confirmed lack of reception as the problem. If the mast is extended and you still do not have reception, the antenna plug my have come out of the back of the radio. The requires removing the radio to check.

all analogue signals going out means EVERY analogue signal is gone in the TV band. these are now apparently assigned to emergency services in some states.

What signal do you mean? No power? No ability to tune in stations?

if the radio alarm is still showing the nonexistent 98.5, you would need to reset the radio alarm. Press and hold button 1 (top left hand side) until the display starts blinking. Then press the preset button for 98.1. It should then display 98.1 on your radio alarm. good luck this is the most difficult set of instructions I've seen yet

other than just double checking your switches settings there really isn't much you can do ,as there really isn't any easy to replace parts inside and that would be cost prohibitive anyhow , but do remember it is a clock radio , if its set t o use the alarm the radio will not work and not the cd either , ck all your switches for proper setting , one may have got bumped by you or cleaning staff
this is the reason I use a sound bar/phone dock as I use it to charge my phone and play music all day at my desk , they only cost about fifteen bucks to buy , and best thing is there's nothing for anyone to mess with when im not there as it wont work without my phone docked in it !!