October 23, 2002
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Numbers game is all at odds
 
By Dr George Chirstos
 
SOAPBOX is a forum for people with strongly-held views
 
WHY SO many digits? The other day I saw a car go through a red light in front of four or five other cars and none of us were able to get his number plate.

After thinking about it I realised that the reason I was unable to get this person's licence number was because there was an extra "1" placed in front of the traditional number plate.

The extra one means that we now have seven characters instead of six, which means that the characters have to be smaller to fit on to the same sized number plate.

If you look at the licence plate of an older car, you will see that the six-character licence plates are easier to see as the characters are bigger.

There's another problem. The human brain has the natural capacity to remember seven plus or minus two items in short-term memory (that is somewhere between five and nine items).

It is more difficult to remember more characters.

Ah, you say, but the first number "1" is redundant, so really there are only six characters to remember.

The problem is that you cannot help looking at this redundant number (which is exactly what it is) because they placed it in front of the licence plates.

Why didn't they place it at the end so we wouldn't even have to look at it? Anyhow, why have we gone to seven characters?

This is where I am really confused.

A little mathematics reveals that with four digits and three letters there are about 180 million combinations possible, which can cater for over 100 cars each for every man, woman and child in WA.

My understanding is that the current licensing system has been around for four or five years now and we have only just gone from using licence numbers beginning with 1A to licence numbers beginning with 1B.

This means that we should get to 1Z in about 100 years and we should get to 9Z in about a 1000 years.

Under the Department of Planning and Infrastructure's own estimates, in the current system we have enough licence plates for 1400 years.

This means the one in front will not become a two until the year 2137, and we will get to 9ZZZ in the year 3397 (if man is still alive).

Obviously someone didn't want to have to deal with this problem again in their lifetime (or for 40 generations, in fact).

But the problem is that people like the idiot I saw go through a red light got away with it.

Assuming that somewhere around 100,000 to 200,000 cars are licensed in Perth each year, a licence plate with three letters and three numbers, which can generate some 18 million combinations, would do just fine.

This would generate enough combinations for 90 to 180 years. Another idea would be to use two letters and four digits, with the two letters smaller and written vertically.

This would be easy to read, and would generate 6.76 million combinations.

Another idea is to completely reverse the licence numbers so that the most significant digits are put on the left and the redundant digits are put on the right. It won't matter if we don't get that far when we are reading the licence plate then.

One could also consider using names, instead of unrelated letters, as the brain stores them as a single entry in memory.

THE Department of Transport is not the only culprit of the numbers game.

Telstra recently added an extra nine in front of our phone numbers.

I never understood why it did this. With eight digits, we now have 100 million combinations of telephone numbers, which could cater for over 100 telephones for every household in WA.

Incidentally, New York still has only seven-digit phone numbers, with a slightly longer area code (which is easy to remember, or can be looked up).

Why does Perth need so many digits?

I was also a bit confused as to why the extra nine was added to the front of our phone numbers.

Previously we could easily see which area a telephone number corresponded to. Although this is still (sort of) the case here, as we can (mentally) just drop the redundant nine in front, what will happen in the future when we start to use other digits in front other than a nine.

We are already starting to use phone numbers in the same area beginning with a six.

To my mind the only thing a nine in front will tell us is whether we had a phone in the year 2000.

Assuming this extra number is needed (which I suggest it is not), it would have made much more sense if it was added at the end of our phone numbers so that the first few digits gave us an indication of area.

This would have freed 10 times the available numbers for each current area and surrounding suburbs could be given similar starting phone numbers.

  • Dr George Christos is a mathematician and neuroscientist.


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