Do you know how to convert binary numbers to decimal?

Steve_SumProductCom 

The BIN2DEC function is indeed handy, but it has its limitations, as you mentioned.

To overcome the limitation of BIN2DEC function for numbers with more than 10 bits, you can use a custom formula or a workaround. Frédéric LE GUEN's article likely provides a workaround for this limitation.

One common workaround is to use Excel's built-in ability to handle bitwise operations. You can use a combination of functions like BITAND, BITLSHIFT, and BITOR along with some arithmetic to convert binary numbers of any length to decimal.

Using BITAND, BITLSHIFT, and BITOR functions to convert a binary number of any length to decimal.

Here is a step-by-step guide:

1. Input: Assume we have a binary number represented as a string of 1s and 0s in cell A1. For example, "110101".
2. Convert Binary to Decimal:

To convert this binary number to decimal, we can use the following formula:

=SUMPRODUCT(--MID(A1,LEN(A1)-ROW($1:$LEN(A1))+1,1)*BITLSHIFT(1,ROW($1:$LEN(A1))-1))

Let us break down this formula:

• MID(A1,LEN(A1)-ROW($1:$LEN(A1))+1,1): This extracts each digit of the binary number starting from the rightmost digit.
• --: This converts the extracted binary digits to numbers.
• BITLSHIFT(1,ROW($1:$LEN(A1))-1): This generates an array of powers of 2 corresponding to the position of each digit.
• SUMPRODUCT: This multiplies each binary digit by its corresponding power of 2 and then sums the results, effectively converting the binary number to decimal.
1. Result: If cell A1 contains the binary number "110101", applying the formula will return the decimal equivalent, which is 53.

You can input different binary numbers in cell A1 to test the formula and verify the conversion to decimal. This method allows you to convert binary numbers of any length to decimal in Excel.Formularbeginn The text and steps were edited with the help of AI.

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