Calculating Sum of Digits in a Number using Array Formulas [for fun]

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Here is a fun formula to write.

Sum of Digits in a number - how to calculate?Given a number in cell, I want you to find the sum of digits in it. So, for eg. if you have the number 3584398594 in a cell, the sum would be =3+5+8+4+3+9+8+5+9+4, equal to 1994. 😛

I am kidding of course, the sum would be 58.

Now, how would you write a formula to find this sum automatically based on the number entered in the cell?

Go ahead and figure it out. If you can, come back and check your answer with mine below.

How to get the sum of digits?

In order to get the sum of digits, we just need to separate and add all the numbers. Sounds simple right? But how!?!

Very simple, we use Array formulas and pixie dust.

First the formula:

Assuming the number is in cell B4, we write the formula,

=SUMPRODUCT(MID(B4,ROW(OFFSET($A$1,,,LEN(B4))),1)+0)

to get the sum of digits.

Note: you need not press CTRL+SHIFT+Enter to get this formula work.

How does this formula work?

We will go inside out to understand this formula.

The portion – ROW(OFFSET($A$1,,,LEN(B4))): Gives the numbers 1,2,3…n where n is the number of digits of the value in B4.

The portion – MID(B4,ROW(OFFSET($A$1,,,LEN(B4))),1): Now gets the individual digits of the number and returns them as array (since the 2nd argument of MID formula is an array.

The SUMPRODUCT: is the pixie dust. It just magically sums up all the digits extracted by MID(). We use a +0 at the end because MID() returns text that needs to be converted to numbers for SUMPRODUCT to work its magic.

How would you have solved this?

I just love SUMPRODUCT Formula. So I use it whenever I can. But you may like other techniques. So please tell me how you would solve this problem using formulas. Post your formula using comments.

Note: while posting your formula, just put it between CODE tags like this:

<code>your formula goes here</code> so that it gets displayed correctly.

Bonus question: How to calculate single digit sum of the digits?

Go ahead and solve it too.

The single digit sum is arrived by summing the sum of digits of sum of digits of … of a number. For ex. the single digit sum for number 3584398594 is 4 (because the sum of digits is 58, whose sum of digits is 5+8 = 13, whose sum of digits is 1+3 =4 and we stop here because 4 is a single digit number).

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13 Responses to “Convert fractional Excel time to hours & minutes [Quick tip]”

  1. Debraj Roy says:

    Hi Purna..

    Again a great tip.. Its a great way to convert Fractional Time..
    By the way.. Excel has two great and rarely used formula..

    =DOLLARFR(7.8,60) and =DOLLARDE(7.48,60)

    basically US Account person uses those to convert some currency denomination.. and we can use it to convert Year(i.e 3.11 Year = 3 year 11 month) and Week(6.5 week = 6 week 5 days), in the same manner...

  2. Jason says:

    This doesn't work for me. When applying the custom format of [h]:mm to 7.8 I get 187:12

    Any ideas why?

    • Hui... says:

      @Jason
      7.8 in Excel talk means 7.8 days
      =7.8*24
      =187.2 Hrs
      =187 Hrs 12 Mins

      If you follow Chandoo's instructions you will see that he divides the 7.8 by 24 to get it to a fraction of a day

      Simple, assuming the fractional time is in cell A1,

      Use below steps to convert it to hours & minutes:

      1. In the target cell, write =A1/24
      2. Select the target cell and press CTRL+1 to format it (you can also right click and select format cells)
      3. Select Custom from “Number” tab and enter the code [h]:mm
      4. Done!

  3. WhoKnows says:

    Hi, sorry to point this out but Column C Header is misspelt 'Hours Palyed'

  4. abhishek malik says:

    good one

  5. Julia says:

    So how do I go the other way and get hours and minutes to fractional time?

    • Chandoo says:

      If you have 7.5 in cell A1,

      - Use int(A1) to get the hours.
      - Use mod(A1,1)*60 to get minutes.

      If you have 7:30 (formatted as time) in A1

      - Use hours(a1) to get hours
      - Use minutes(a1) to get minutes.

      • Paula says:

        I had the same issue. You can solve it by changing the format as described above:

        Right click cell > Format Cells > (In Number tab) > Custom > Then enter the code [h]:mm
        ([hh]:mm and [hhh]:mm are nice too if you want to show leading zeros)

        • Jack Scarce says:

          Thanks guys, these are the tips I'm looking for.
          ...dividing the number of minutes elapsed by the percent change is my task - "int" is the key this time

  6. Srikanth says:

    It doesnt work for greater than 24 hours
    It returns 1:30 for 25.5 hours. It should have returned 25:30

    Ideally I would right function as
    =QUOTIENT(A1,1)&":"&MOD(A1,1)*60

    • Paula says:

      Sorry, replied to wrong comment....

      ----
      I had the same issue. You can solve it by changing the format as described above:

      Right click cell > Format Cells > (In Number tab) > Custom > Then enter the code [h]:mm
      ([hh]:mm and [hhh]:mm are nice too if you want to show leading zeros)

  7. Daniel says:

    Clever use of MOD here to extract the decimal part of a number. Divide a number containing a decimal by 1 and return the remainder. Humm. Very clever.

  8. Tomer says:

    Thanks very much, extremely useful !

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