# Display numbers in English words

## Display numbers in English words

It may happen that we need to display the numbers in words, for instance 1= one, 2016 = two thousand sixteen, etc.

The objective of this document is to provide a way to translate numbers into English words.

The formula described in this document supports number until 15 digits so the maximum value supported is 999999999999999.

So it’s large enough and if you need to have more digits then you can enrich the formula by adding new positions. Moreover, the formula supports positive and negative numbers.

To summarize, this Web Intelligence formula support units, hundreds, thousands, millions, billions, and trillions.

Prior to describe the formulas used in the document here are screenshots of translated numbers.

To do it we need 2 variables, but we can create more variables to simplify the formula that does the translation.

The first variable describes the units and is named [English units]. The variable is similar to a table of string where there is the corresponding word for a number. “zero” is not used because it only appears where the number is equal to 0 so there is a specific condition for it.

Here is the formula:

=”#0##1# one#01# one#2# two#02# two#3# three#03# three#4# four#04# four#5# five#05# five#6# six#06# six#7# seven#07# seven#8# eight#08# eight#9# nine#09# nine#10# ten#11# eleven#12# twelve#13# thirteen#14# fourteen#15# fifteen#16# sixteen#17# seventeen#18# eighteen#19# nineteen#20# twenty#21# twenty one#22# twenty two#23# twenty three#24# twenty four#25# twenty five#26# twenty six#27# twenty seven#28# twenty eight#29# twenty nine#30# thirty#31# thirty one#32# thirty two#33# thirty three#34# thirty four#35# thirty five#36# thirty six#37# thirty seven#38# thirty eight#39# thirty nine#40# fourty#41# fourty one#42# fourty two#43# fourty three#44# fourty four#45# fourty five#46# fourty six#47# fourty seven#48# fourty eight#49# fourty nine#50# fifty#51# fifty one#52# fifty two#53# fifty three#54# fifty four#55# fifty five#56# fifty six#57# fifty seven#58# fifty eight#59# fifty nine#60# sixty#61# sixty one#62# sixty two#63# sixty three#64# sixty four#65# sixty five#66# sixty six#67# sixty seven#68# sixty eight#69# sixty nine#70# seventy#71# seventy one#72# seventy two#73# seventy three#74# seventy four#75# seventy five#76# seventy six#77# seventy seven#78# seventy eight#79# seventy nine#80# eighty#81# eighty one#82# eighty two#83# eighty three#84# eighty four#85# eighty five#86# eighty six#87# eighty seven#88# eighty eight#89# eighty nine#90# ninety#91# ninety one#92# ninety two#93# ninety three#94# ninety four#95# ninety five#96# ninety six#97# ninety seven#98# ninety eight#99# ninety nine#”

As you can notice there is separators (#) between each number and its associated word.

Now we just need the variable that does the conversion. This formula is complex so I added comments to explain what is the need of each paragraph (Main if statement).

To simplify the formula, you can create an intermediate variable and replace the following formula by the variable name you have created. This formula is used to format the number and remove the potential decimals and minus sign. The formula is used 84 times in the numbers to words translation:

FormatNumber(Abs([My Number]);”0″)

[My Number] is the numeric variable to translate into words.

Now here is the formula used for the translation:

=if Length(FormatNumber(Abs([My Number]);”0″)) > 15 then “*****”  /* Too large */

else if FormatNumber(Abs([My Number]);”0″) = “0” then “zero”  /* Zero */

else (if [My Number] < 0 then “minus “)

+ Trim(Replace(Replace(Replace(Replace(Replace(Replace(

/* hundred of trillion */

(if Length(FormatNumber(Abs([My Number]);”0″)) > 14 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);15);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);15);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);15);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);15);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);15);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”

else “”)

/* trillion */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 13 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);14);2) <> “00” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);14);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);14);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);14);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);14);2))+2 ; Length([English units])); “#”)-1 ) + ” trillion”

else ” trillion”

else if Length(FormatNumber(Abs([My Number]);”0″)) > 12 then

if Left(FormatNumber(Abs([My Number]);”0″);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2 ; Length([English units])); “#”)-1 ) + ” trillion”

else “”)

/* hundred of billion */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 11 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);12);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);12);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”

else “”)

/* billion */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 10 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);11);2) <> “00” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);11);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);11);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);11);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);11);2))+2 ; Length([English units])); “#”)-1 ) + ” billion”

else ” billion”

else if Length(FormatNumber(Abs([My Number]);”0″)) > 9 then

if Left(FormatNumber(Abs([My Number]);”0″);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2 ; Length([English units])); “#”)-1 ) + ” billion”

else “”)

/* hundred of million */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 8 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);9);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);9);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);9);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);9);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);9);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”

else “”)

/* million */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 7 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);8);2) <> “00” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);8);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);8);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);8);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);8);2))+2 ; Length([English units])); “#”)-1 ) + ” million”

else ” million”

else if Length(FormatNumber(Abs([My Number]);”0″)) > 6 then

if Left(FormatNumber(Abs([My Number]);”0″);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2 ; Length([English units])); “#”)-1 ) + ” million”

else “”)

/* hundred of thousand */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 5 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);6);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);6);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);6);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);6);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);6);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”

else “”)

/* thousand */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 4 then

if Left(Right(FormatNumber(Abs([My Number]);”0″);5);2) <> “00”  then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);5);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);5);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);5);2) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);5);2))+2 ; Length([English units])); “#”)-1 ) + ” thousand”

else ” thousand”

else if Length(FormatNumber(Abs([My Number]);”0″)) > 3 then

if Left(FormatNumber(Abs([My Number]);”0″);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(FormatNumber(Abs([My Number]);”0″);1) + “#”) + Length(Left(FormatNumber(Abs([My Number]);”0″);1))+2 ; Length([English units])); “#”)-1 ) + ” thousand”

else “”)

/* hundred */

+ (if Length(FormatNumber(Abs([My Number]);”0″)) > 2 and Left(Right(FormatNumber(Abs([My Number]);”0″);3);1) <> “0” then

Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);3);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);3);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);3);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);3);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”)

/* units */

+ Substr(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Abs([My Number]);”0″);2) + “#”) + Length(Right(FormatNumber(Abs([My Number]);”0″);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Abs([My Number]);”0″);2) + “#”) + Length(Right(FormatNumber(Abs([My Number]);”0″);2))+2 ; Length([English units])); “#”)-1 )

;” trillion billion”;” trillion”);” trillion million”;” trillion”);” trillion thousand”;” trillion”);” billion million”;” billion”);” billion thousand”;” billion”);” million thousand”;” million”) )

As I said the formula is a bit complex but can be easily explained.

There is no performance issue. In the dataset I used there are 33413 different numbers all unique and it takes less than 2 seconds to translate all numbers.

• The first condition is used to test if the number is less or equal to 14 digits.
if Length(FormatNumber(Abs([My Number]);”0″)) > 15 then “*****”
• The second condition is used to test if the number is equal to 0.
if FormatNumber(Abs([My Number]);”0″) = “0” then “zero”
• As you can see there is also 6 different Replace statements used to remove inaccurate translations.
For instance with the number 100000, the initial translation writes “one million thousand”.
We need to remove “thousand”, it has been detected but there is no unit associated so this is redundant.
We do the same for “trillion billion”, “trillion million”, “trillion thousand”, “billion million”, “billion thousand”,
• Now lets’ have a look on the units detection (form 0 to 99).
For the latest digits, the formula is:
Substr(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Abs([My Number]);”0″);2) + “#”) + Length(Right(FormatNumber(Abs([My Number]);”0″);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Abs([My Number]);”0″);2) + “#”) + Length(Right(FormatNumber(Abs([My Number]);”0″);2))+2 ; Length([English units])); “#”)-1 )
I highlighted in red this part that is used in other places like for thousands, millions, billions, etc.
In the other places, the syntax is a bit different. It can be Left(Right(FormatNumber(Abs([My Number]);”0″);5);2or5);1).
The bold red characters represent the number of digits to extract, and the bold green represent the position in the number.
This part of the formula is always the same everywhere and is used to extract a unit like eleven, thirty two or eighty six, for instance.
• Lets’ have a look on the hundred detection (form 0 to 99).
In that case there is only one digit to extract and the formula is:
if Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) <> “0” then Substr(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);12);1))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Left(Right(FormatNumber(Abs([My Number]);”0″);12);1) + “#”) + Length(Left(Right(FormatNumber(Abs([My Number]);”0″);12);1))+2 ; Length([English units])); “#”)-1 ) + ” hundred”
We first test if the digit is different from 0 to generate the “hundred” word.
• Concerning the thousands, millions, billions and trillions detection it works like the units.
We just add a text before to check that the digit is different from 0 to generate the appropriate word. If there is 2 digits then we always generate the appropriate word because we nokw that there is more than zero thousand, zero million, etc.
But in that case depending on the number of leading zeroes, this may lead to have a result with “million thousand” thus explaining the different

## Display numbers with decimals in English words

I also extended the translation formula to manage the decimals (2 decimals maximum).

This formula can be used with currencies to display amount in words such as two thousand thirty five dollars and fourty two cents

Here is a screenshot of such translation:

Now here is the formula used for the translation. The core of the formula does not change except for the number formatting: we just need to remove all decimals.

So instead of having FormatNumber(Abs([My Number]);”0″), the new formula is FormatNumber(Truncate(Abs([My Decimal]);0);”0″)

Now the translation formula has changed. I added and replaced the red part in the first part of the formula:

=if Length(FormatNumber(Truncate(Abs([My Decimal]);0);”0″)) > 15 then “*****”  /* Too large */

else (if [My Decimal] < 0 then “minus “)

+

else if FormatNumber(Truncate(Abs([My Decimal]);0);”0″) = “0” or FormatNumber(Truncate(Abs([My Decimal]);0);”0″) = “1” Then /* Zero or One */

(if FormatNumber(Truncate(Abs([My Decimal]);0);”0″) = “0” Then “zero dollar” else “one dollar”)

/* decimals */

+ (if Abs([My Decimal]) <> Truncate(Abs([My Decimal]);0) Then ” and”

+ Substr(Substr([English units]; Pos([English units];”#” + Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) + “#”) + Length(Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) + “#”) + Length(Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2))+2 ; Length([English units])); “#”)-1 ) + if (Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) = “01”) then ” cent” else ” cents” else “”)

else Trim(Replace(Replace(Replace(Replace(Replace(Replace( ……

And I added the new part (in red) at the end of the formula.

/* units */

+ Substr(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Truncate(Abs([My Decimal]);0);”0″);2) + “#”) + Length(Right(FormatNumber(Truncate(Abs([My Decimal]);0);”0″);2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Right(FormatNumber(Truncate(Abs([My Decimal]);0);”0″);2) + “#”) + Length(Right(FormatNumber(Truncate(Abs([My Decimal]);0);”0″);2))+2 ; Length([English units])); “#”)-1 ) + ” dollars”

/* decimals */

+ (if Abs([My Decimal]) <> Truncate(Abs([My Decimal]);0) Then ” and”

+ Substr(Substr([English units]; Pos([English units];”#” + Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) + “#”) + Length(Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2))+2; Length([English units]));1 ; Pos(Substr([English units]; Pos([English units];”#” + Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) + “#”) + Length(Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2))+2 ; Length([English units])); “#”)-1 ) + if (Substr(FormatNumber(Abs([My Decimal]) – Truncate(Abs([My Decimal]);0);”#.##”)+”0″;2;2) = “01”) then ” cent” else ” cents” else “”)

For the decimals translation I used the same technique than the units.

In conclusion, we have now a powerful way to translate any number in English words.

To use it you just need to replace [My number] or [My decimal] by your measure

You can download the Web Intelligence report attached to that publication.

Didier MAZOUE

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You must be Logged on to comment or reply to a post.

Simply, wow!

Thanks,

Mahboob Mohammed

Absolutely herculean effort!!!

Great work Didier!!

Regards

Niraj

Great Document.... This must be one of the top in Webi Ticks list ðŸ˜‰

Regards,

Veer

Hi Didier,

Again, appreciate your time and effort in this trick and document. One minor thing you might want to update is, (per one of the images you attached) the formula displays/translates 1000 as one thousand zero. It'd be nice to remove that zero, as its obvious.

Does that make sense?

Thanks,
Mahboob Mohammed

Great Webi trick !

You've been added to Webi 4.x tricks : summary for a better visibility. Keep posting !

William

its an excellent trick.
Thanks for sharing