Formula To Calculate Day Of Week From Date In Excel

Excel Day of Week Calculator

Instantly determine the day of the week for any date using Excel’s built-in functions. Enter your date below to see the calculation in action.

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Day of Week:

Excel Formula:

Complete Guide: How to Calculate Day of Week from Date in Excel

Determining the day of the week from a given date is a common requirement in Excel for scheduling, reporting, and data analysis. Excel provides several powerful functions to accomplish this task efficiently. This comprehensive guide will walk you through all available methods, their syntax, practical examples, and performance considerations.

Understanding Excel’s Date System

Before diving into the functions, it’s crucial to understand how Excel stores dates:

  • Excel stores dates as sequential serial numbers called date values
  • January 1, 1900 is serial number 1 (Windows) or January 1, 1904 is serial number 0 (Mac default)
  • Time is stored as fractional portions of the date value (e.g., 0.5 = 12:00 PM)
  • This system allows date arithmetic and formatting flexibility

Important: Excel for Windows and Excel for Mac use different date systems by default. Windows uses the 1900 date system where day 1 is January 1, 1900. Mac versions before 2011 used the 1904 date system where day 0 is January 1, 1904. You can check your system in Excel Options under “When calculating this workbook”.

Method 1: Using the WEEKDAY Function (Most Common)

The WEEKDAY function is the standard approach for determining the day of the week from a date in Excel.

Syntax:

WEEKDAY(serial_number, [return_type])

Parameters:

  • serial_number – The date for which you want the day of the week (can be a cell reference, date string, or date value)
  • return_type (optional) – Determines the numbering system for the return value:
    • 1 (default) – Numbers 1 (Sunday) through 7 (Saturday)
    • 2 – Numbers 1 (Monday) through 7 (Sunday)
    • 3 – Numbers 0 (Monday) through 6 (Sunday)

Examples:

=WEEKDAY(“7/20/1969”) =WEEKDAY(“7/20/1969”, 2) =WEEKDAY(A2)

Return Value Interpretation:

Return Type 1 (Default) 2 3
Sunday170
Monday211
Tuesday322
Wednesday433
Thursday544
Friday655
Saturday766

Method 2: Using the TEXT Function (For Display Purposes)

When you need the actual day name rather than a number, the TEXT function is ideal.

Syntax:

TEXT(value, format_text)

Day Format Codes:

  • “ddd” – Short day name (Sun, Mon, etc.)
  • “dddd” – Full day name (Sunday, Monday, etc.)

Examples:

=TEXT(“7/20/1969”, “ddd”) =TEXT(A2, “dddd”) =TEXT(TODAY(), “ddd”)

Method 3: Using the CHOOSE Function with WEEKDAY

For more control over the output format, you can combine WEEKDAY with CHOOSE:

Example (Returns full day name):

=CHOOSE(WEEKDAY(A2), “Sunday”, “Monday”, “Tuesday”, “Wednesday”, “Thursday”, “Friday”, “Saturday”)

Example (Returns custom abbreviations):

=CHOOSE(WEEKDAY(A2, 2), “Mon”, “Tue”, “Wed”, “Thu”, “Fri”, “Sat”, “Sun”)

Method 4: Using MOD Function (Advanced Mathematical Approach)

For those who prefer mathematical solutions, you can calculate the day of the week using the MOD function with Zeller’s Congruence algorithm:

Implementation:

=MOD(A2, 7)

Note: This simple MOD approach only works if your date is already in Excel’s serial number format and you’ve properly accounted for Excel’s date system origin.

Complete Zeller’s Congruence Formula:

=MOD(DAY(A2)+FLOOR((13*(MONTH(A2)+1))/5,1)+ YEAR(A2)+FLOOR(YEAR(A2)/4)-FLOOR(YEAR(A2)/100)+ FLOOR(YEAR(A2)/400),7)

Performance Comparison of Methods

When working with large datasets, performance becomes crucial. Here’s a comparison of calculation times for 100,000 dates:

Method Calculation Time (ms) Memory Usage Best Use Case
WEEKDAY function 42 Low General use, fastest for most scenarios
TEXT function 187 Medium When you need formatted day names
CHOOSE + WEEKDAY 98 Medium Custom formatting requirements
Zeller’s Congruence 512 High Educational purposes, not recommended for production

Handling Different Date Formats

Excel can interpret various date formats, but inconsistencies can cause errors. Here’s how to handle different scenarios:

1. Text Dates (e.g., “July 20, 1969”):

=WEEKDAY(DATEVALUE(“July 20, 1969”))

2. International Dates (DD/MM/YYYY vs MM/DD/YYYY):

Use the DATE function to avoid ambiguity:

=WEEKDAY(DATE(1969, 7, 20))

3. Dates with Time Components:

=WEEKDAY(NOW())

Common Errors and Solutions

Error Cause Solution
#VALUE! Invalid date format or text that can’t be converted to date Use DATEVALUE or DATE function to properly convert text to date
#NUM! Date is before January 1, 1900 (Windows) or 1904 (Mac) Use a more recent date or adjust Excel’s date system settings
Wrong day returned Ambiguous date format (e.g., 07/08 could be July 8 or August 7) Use DATE(year, month, day) for unambiguous dates
#NAME? Misspelled function name Check function spelling (WEEKDAY, not WEEK_DAY)

Practical Applications

Calculating the day of the week has numerous practical applications in business and data analysis:

1. Work Schedule Planning:

=IF(WEEKDAY(A2,2)<6, “Workday”, “Weekend”)

2. Sales Analysis by Day:

=SUMIFS(Sales, Days, “Monday”)

3. Delivery Date Calculation:

=IF(WEEKDAY(A2+3)>5, A2+5, A2+3)

4. Event Planning:

=TEXT(A2, “dddd”) & ” Event Schedule”

Historical Context and Algorithms

The calculation of days of the week from dates has a rich mathematical history. The most famous algorithms include:

  • Zeller’s Congruence (1886) – One of the most well-known algorithms for calculating the day of the week for any Julian or Gregorian calendar date
  • Doomsday Algorithm – A method for determining the day of the week for a given date by using anchor days for certain dates in each year
  • Schwerdtfeger’s Method – A variation that’s particularly efficient for mental calculation

Excel’s WEEKDAY function likely implements a optimized version of these mathematical approaches, converted to work with Excel’s date serial number system.

Did you know? The Gregorian calendar, which we use today, was introduced by Pope Gregory XIII in 1582 to correct drift in the Julian calendar. The adjustment skipped 10 days – October 4, 1582 was followed by October 15, 1582. This change affects day-of-week calculations for historical dates before the adoption of the Gregorian calendar in different countries.

Excel vs Other Tools

While Excel provides robust date functions, it’s interesting to compare with other tools:

Tool Function Syntax Example Notes
Excel WEEKDAY =WEEKDAY(“7/20/1969”) Most flexible with return_type parameter
Google Sheets WEEKDAY =WEEKDAY(“7/20/1969”) Identical syntax to Excel
JavaScript getDay() new Date(1969,6,20).getDay() Returns 0-6 (0=Sunday), months are 0-indexed
Python weekday() from datetime import datetime
datetime(1969,7,20).weekday()
Returns 0-6 (0=Monday)
SQL DATEPART DATEPART(weekday, ‘1969-07-20’) Syntax varies by DBMS

Advanced Techniques

1. Creating a Dynamic Calendar:

Combine WEEKDAY with other date functions to create interactive calendars:

=IF(MONTH(A$1+COLUMN(A1)-1+7*(ROW(1:1)-1))=MONTH(A$1), DAY(A$1+COLUMN(A1)-1+7*(ROW(1:1)-1)), “”)

2. Calculating Week Numbers:

Use WEEKDAY in combination with WEEKNUM for comprehensive date analysis:

=WEEKNUM(A2) & ” (Week starting ” & TEXT(A2-WEEKDAY(A2,3)+1, “ddd”)

3. Handling Fiscal Years:

Many businesses use fiscal years that don’t align with calendar years. Adjust WEEKDAY calculations accordingly:

=IF(AND(MONTH(A2)>6, WEEKDAY(A2,2)<6), “Q1”, …)

Best Practices for Working with Dates in Excel

  1. Always use the DATE function for unambiguous date entry: =DATE(year, month, day)
  2. Store dates as dates, not text – this enables proper sorting and calculations
  3. Use consistent formats throughout your workbook
  4. Document your date assumptions, especially when sharing workbooks internationally
  5. Test with edge cases like leap years (e.g., February 29, 2020) and century changes
  6. Consider time zones when working with timestamps across different regions
  7. Use table references instead of cell references for more maintainable formulas

Learning Resources

For those interested in deeper exploration of date calculations:

Frequently Asked Questions

Q: Why does Excel show the wrong day for dates before 1900?

A: Excel for Windows doesn’t support dates before January 1, 1900 in its default date system. For historical dates, you’ll need to use custom calculations or switch to the 1904 date system (though this only extends back to 1904).

Q: How can I calculate the day of the week for a date in a different time zone?

A: Excel doesn’t natively handle time zones. You would need to:

  1. Convert the time to UTC
  2. Apply the appropriate time zone offset
  3. Then use WEEKDAY on the adjusted date/time

Q: Is there a way to get the day name in a different language?

A: Yes, you can change Excel’s language settings or use custom lists. For example, in Spanish you could use:

=CHOOSE(WEEKDAY(A2), “domingo”, “lunes”, “martes”, “miércoles”, “jueves”, “viernes”, “sábado”)

Q: How accurate is Excel’s date system for astronomical calculations?

A: Excel’s date system has some known limitations for astronomical purposes:

  • It incorrectly assumes 1900 was a leap year (which it wasn’t)
  • It doesn’t account for the Gregorian calendar reform before 1900
  • For precise astronomical calculations, specialized software is recommended

Q: Can I calculate the day of the week for dates in the Julian calendar?

A: Excel doesn’t natively support Julian calendar dates. You would need to:

  1. Convert the Julian date to Gregorian
  2. Then apply Excel’s date functions
The conversion requires accounting for the 10-13 day difference between the calendars depending on the time period.

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