Converting Decimal Degrees to D:M:S in excel

Can someone explain why I'm getting rounding errors in the attached spread sheet?  DDtoDMS.xlsx

I'm expecting column 'T' to look like this

42:33:00:N/001:34:59.88:W

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If E3 =0.55 and F3 = "E3*60"/33 so how can G3 = "INT(F3)" / 32?

My maths might be dodgy but 0.55 *60 = 33

Also how do I fix the leading zeros in the output?
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trevor1940Asked:
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Rob HensonConnect With a Mentor Finance AnalystCommented:
Alternatively, this formula gives the same result but without using helper columns, ie just using Decimal Degrees and Hemisphere columns (A & B and J & K):

=CONCATENATE(TEXT(INT(ABS(A2)),"000"),":",TEXT(INT(ROUND(MOD(ABS(A2),1),2)*60),"00"),":",TEXT(ROUND(MOD(ROUND(MOD(ABS(A2),1),2)*60,1),2)*60,"00"),":",B2,"/",TEXT(INT(ABS(J2)),"000"),":",TEXT(INT(ROUND(MOD(ABS(J2),1),2)*60),"00"),":",TEXT(ROUND(MOD(ROUND(MOD(ABS(J2),1),2)*60,1),2)*60,"00"),":",K2)

In addition, your Hemisphere calculations can be simpler:

North/South =IF(A2<0,"S","N")
East/West =IF(J2<0,"W","E")

That could even be incorporated into the main formula so just using the Decimal Degrees in columns A & J:

=CONCATENATE(TEXT(INT(ABS(A2)),"000"),":",TEXT(INT(ROUND(MOD(ABS(A2),1),2)*60),"00"),":",TEXT(ROUND(MOD(ROUND(MOD(ABS(A2),1),2)*60,1),2)*60,"00"),":",IF(A2<0,"S","N"),"/",TEXT(INT(ABS(J2)),"000"),":",TEXT(INT(ROUND(MOD(ABS(J2),1),2)*60),"00"),":",TEXT(ROUND(MOD(ROUND(MOD(ABS(J2),1),2)*60,1),2)*60,"00"),":",IF(J2<0,"W","E"))

Thanks
Rob

EDITED 17:31: To correct missing ABS statements
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Rob HensonFinance AnalystCommented:
That is bizarre to say the least!!

If you copy E2 and paste values elsewhere, it gives 0.549999999999997 hence why that value multiplied by 60 doesn't give an exact 33.

Change the formula in E2 to:

=ROUND(C2-D2,2)

That sorts it.

I don't see any leading zeros in the output.

Thanks
Rob H
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Rob HensonFinance AnalystCommented:
To force the numbers to show as a certain number of digits, you can use the TEXT function, your end result formula becomes:

=CONCATENATE(TEXT(D2,"000"),":",TEXT(G2,"00"),":",TEXT(I2,"00"),":",B2,"/",TEXT(M2,"000"),":",TEXT(P2,"00"),":",TEXT(R2,"00"),":",K2)

Change the number of 0 in the " " to affect how the number appears.
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crystal (strive4peace) - Microsoft MVP, AccessConnect With a Mentor Remote Training and ProgrammingCommented:
Looking at formula in K:
use the ROUND function on values in column I and R. Internally, Excel is storing values as double-precision data type, which is stored in exponential format and therefore, not precise. Any calculation made should be rounded to the desired precision as that is not implicitly determined by the factors.
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trevor1940Author Commented:
Hi Rob


If you copy E2 and paste values elsewhere, it gives 0.549999999999997 hence why that value multiplied by 60 doesn't give an exact 33.

Change the formula in E2 to:

=ROUND(C2-D2,2)

Any idea why this happening?

Thanx for your 1 cell solution very neat I had opened up my solution to work where this error was

BTW Latitude can only be 2 digits for degrees only saying

@crystal


use the ROUND function on values in column I and R. Internally,

How will that help?  hasn't the damage already been made at this point?

I don't understand how 42.55 - 42 doesn't = 0.55?  is there a format setting some where causing this error?
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Rob HensonFinance AnalystCommented:
Crystal has answered the question as why Excel is doing this, much as it is annoying I don't think there is a lot that can be done about it other than allowing for it with ROUND functions.
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trevor1940Author Commented:
Thanx for you help and explanation
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