Now, there is nothing wrong with a digital meter!! They are VERY sensitive, which makes them great for a number of things.
One of their most unique but practical uses is to measure “voltage drop” which is the difference between a theoretically perfect circuit versus the actual, real world voltage at the load.
Hook the red lead on the positive post of the battery and the black on some point farther down the line, like at the inbound headlight terminal. With the lights off, (no load) reading will be virtually 0.00 volts. Now turn on the lights. Reading will show, maybe 0.25? volts for a pretty good connection, under load. A poor connection might show 2.50 volts or more, depending on how many feet of wire the current travels thru, poor connections, switches, relays, fuses, corroded, rusty, etc.
The neatest part is you can check as much or as little of the circuit that you want. Hook the red to the inbound of a switch, and the black to the outbound of the same switch, introduce the load, and you can see how much you are losing just thru the switch.
Using the meter on segments of the circuit can reveal just where the problem is, like the switch (above) or a corroded firewall connector, for example.
This also works on the return trip, more commonly called the ground. (Remember, this part of the circuit is exactly as important as the power TO the load).
Hook one meter lead to the negative battery post and the other to a screwdriver. Turn on the load and touch the screwdriver to the brass base of the illuminated tail light bulb. The reading is how much less than perfect the connection really is. If the ground is missing completely (broken ground wire, let’s say) you’ll see something like 13 volts. Pretty good connection will be 0.04 or something like that.
Think of the meter as running parallel to the circuit, like a frontage road compared to the Interstate highway running along side. Either route will get you to the same place, but one is more efficient than the other.