What is BASE function in Excel?
The Base function is one of the math functions of Excel.
It Converts a number into a text representation with a given radix(base).
We can find this function in Math & trig category of insert function Tab.
How to use Base function in excel
- Click on an empty cell (like F5 )
2. Click on the fx icon (or press shift+F3)
3. In the insert function tab you will see all functions
4. Select math and trig category
5. Select BASE function
6. Then select ok
7. In the function arguments Tab you will see BASE function
8. In the number box you must enter one number (for example 56)
9. Radix is the base number you want to convert into (for example 10)
10. Min_length is the minimum length of the returned string. if you want to add zero to begin of the string put a value more than 3
11. If you enter values(56,10,3) result will be 056, As shown below:
12. If you enter values(12,2,0) result will be 1100, As shown below:
13. If you enter values(12,2,5) result will be 01100, As shown below:
14. You will see results in the formula result section
Examples of BASE function in Excel
- To convert the number 10 (decimal) to binary, use
=BASE(10, 2)which returns “1010”. - To convert the number 110 (binary) to decimal, use
=BASE(110, 2, 10)which returns “6”. - To convert the number 101 (binary) to octal, use
=BASE(101, 2, 8)which returns “5”. - To convert the number FEDC (hexadecimal) to decimal, use
=BASE("FEDC", 16, 10)which returns “65276”. - To convert the number 123 (octal) to binary, use
=BASE(123, 8, 2)which returns “1010011”. - To convert the number 1010 (binary) to hexadecimal, use
=BASE(1010, 2, 16)which returns “A”. - To convert the number 255 (decimal) to binary using 8 bits, use
=BASE(255, 10, 2, 8)which returns “11111111”. - To convert the number 10101010 (binary) to decimal, use
=BASE(10101010, 2, 10)which returns “170”. - To convert the number AB12 (hexadecimal) to binary, use
=BASE("AB12", 16, 2)which returns “1010101100010010”. - To convert the number 01234567 (octal) to decimal, use
=BASE(1234567, 8, 10)which returns “342391”.
Example 1:
How to use BASE function in excel
You can see examples of BASE function below:
base(A2,B2,C2) ----->>>>answer is 056
base(A3,B3,C3) ----->>>>answer is 1100
base(A4,B4,C4) ----->>>>answer is 01100
base(A5,B5,C5) ----->>>>answer is 000121
base(A6,B6,C6) ----->>>>answer is 0236Excel’s BASE Function: The Ultimate Guide to Converting Numbers Between Numeral Systems
The BASE function in Excel is a powerful tool that allows you to convert numbers from one numeral system to another. It supports four different numeral systems: binary, octal, decimal, and hexadecimal. To use the BASE function, simply input the number you want to convert, the current base of the number, the desired base you want to convert the number to, and an optional argument to display the minimum number of digits in the result.
How to Use the BASE Function to Convert Decimal to Binary in Excel
Converting decimal to binary using the BASE function in Excel is simple. To convert the decimal number 25 to binary, for example, you would use the following formula:
=BASE(25, 10, 2)
This formula tells Excel to convert the decimal number 25 (base 10) to binary (base 2). The result is the binary number 11001.
Excel’s BASE Function: Converting Binary to Decimal Made Easy
Just as converting decimal to binary is easy with the BASE function, so too is converting binary to decimal. To convert the binary number 1011 to decimal, for example, you would use the following formula:
=BASE(1011, 2, 10)
This formula tells Excel to convert the binary number 1011 (base 2) to decimal (base 10). The result is the decimal number 11.
From Octal to Hexadecimal: Using Excel’s BASE Function for Numeral System Conversion
Excel’s BASE function can also convert between less common numeral systems, such as octal and hexadecimal. To convert the octal number 37 to hexadecimal, for example, you would use the following formula:
=BASE(37, 8, 16)
This formula tells Excel to convert the octal number 37 (base 8) to hexadecimal (base 16). The result is the hexadecimal number 1F.
Excel’s BASE Function: How to Convert Hexadecimal to Decimal with One Formula
Converting hexadecimal to decimal is also easy using the BASE function in Excel. To convert the hexadecimal number C4A to decimal, for example, you would use the following formula:
=BASE("C4A", 16, 10)
This formula tells Excel to convert the hexadecimal number C4A (base 16) to decimal (base 10). The result is the decimal number 3146.
Simplifying Number Conversion in Excel: How to Convert Octal to Binary with BASE Function
Converting octal to binary using the BASE function in Excel is similar to converting decimal to binary. To convert the octal number 73 to binary, for example, you would use the following formula:
=BASE(73, 8, 2)
This formula tells Excel to convert the octal number 73 (base 8) to binary (base 2). The result is the binary number 111011.
Limitations of Excel’s BASE Function: Why It Does Not Handle Negative Numbers
Excel’s BASE function does not handle negative numbers because it only works with unsigned integers. If you try to convert a negative number using the BASE function, you will get an error message.
Integer vs. Non-Integer Numbers in Excel’s BASE Function: What You Need to Know
The BASE function in Excel only works with integer numbers. If you try to convert a non-integer number, such as a fraction or decimal, using the BASE function, you will get an error message.
Customizing Results with Excel’s BASE Function: Adding Minimum Digits to Your Conversion
You can customize the results of the BASE function in Excel by adding an optional argument to display the minimum number of digits in the result. To convert the decimal number 15 to binary and display at least four digits in the result, for example, you would use the following formula:
=BASE(15, 10, 2, 4)
This formula tells Excel to convert the decimal number 15 (base 10) to binary (base 2) and display at least four digits in the result. The result is the binary number 1111.
Excel’s BASE Function: Converting Multidigit Numbers with Ease
The BASE function in Excel can convert multidigit numbers with ease. To convert the binary number 11010 to decimal, for example, you would use the following formula:
=BASE(11010, 2, 10)
This formula tells Excel to convert the binary number 11010 (base 2) to decimal (base 10). The result is the decimal number 26.
Converting Ranges of Numbers in Excel: How to Use an Array Formula with BASE Function
To convert a range of numbers using the BASE function in Excel, you can use an array formula. For example, to convert the range A1:A5 from decimal to binary, you would use the following formula:
{=BASE(A1:A5, 10, 2)}
This formula tells Excel to convert each number in the range A1:A5 (base 10) to binary (base 2).
Highlighting Cells Based on Specific Conditions with Excel’s BASE Function in Conditional Formatting
You can use Excel’s BASE function in conditional formatting to highlight cells based on specific conditions. For example, you can highlight all cells in a range that contain binary numbers with less than four digits by using the following formula in conditional formatting:
=LEN(BASE(A1, 2))<4
This formula tells Excel to highlight any cell in the range that contains a binary number with less than four digits.
Excel’s BASE Function Limits: Understanding the Maximum Value That Can Be Handled
Excel’s BASE function has a limit to the size of the number it can handle, which is determined by the maximum value that can be represented by a double-precision floating-point number. This limit is approximately 1.8 x 10^308.
Excel’s BASE Function: How to Convert Binary to Octal in One Simple Step
Converting binary to octal using the BASE function in Excel is straightforward. To convert the binary number 101010 to octal, for example, you would use the following formula:
=BASE(101010, 2, 8)
This formula tells Excel to convert the binary number 101010 (base 2) to octal (base 8). The result is the octal number 52.
A Comprehensive Overview of Excel’s BASE Function Arguments and Their Functions
Excel’s BASE function has four arguments. The “number” argument represents the number you want to convert, the “from_base” argument represents the current base or numeral system of the number you want to convert, the “to_base” argument represents the base or numeral system you want to convert the number to, and the optional “[min_digits]” argument specifies the minimum number of digits to display in the result. Using these arguments correctly will allow you to use the BASE function to convert numbers between different numeral systems with ease.
Excel’s BASE Function and its Role in Financial Modelling
Excel’s BASE function can be useful in financial modelling when working with different numeral systems that are commonly used in finance, such as binary and hexadecimal. For example, financial analysts might use the BASE function to convert binary options prices into decimal format for further analysis.
Converting Large Numbers in Excel: How to Split Polynomial Calculations into Multiple Steps
When working with very large numbers, it may be necessary to split polynomial calculations into multiple steps using the BASE function in Excel. For example, to convert the octal number 77777 to binary, you would need to first convert it to decimal, then to binary. The following formula shows how to perform this conversion:
=BASE(BASE(77777, 8, 10), 10, 2)
This formula converts the octal number 77777 to decimal, then to binary.
The Science of Modeling Complex Systems with Excel’s BASE Function
Excel’s BASE function can be used in complex systems modelling to convert numbers between different numeral systems. For example, a scientist might use the BASE function to convert binary data from an experiment into decimal format for statistical analysis.
Excel’s BASE Function and Its Applications in Engineering
Excel’s BASE function can be useful in engineering applications when working with different numeral systems, such as binary or hexadecimal. For example, engineers might use the BASE function to convert binary data from sensors into decimal format for further analysis.
Expanding Statistical Analyses with Excel’s BASE Function: Transforming Data with Log-Normal Distribution
The BASE function in Excel can also be used to transform data with log-normal distribution, which is commonly used in statistical analyses. For example, to convert log-normal data to a normal (Gaussian) distribution, you can use the following formula:
=NORM.INV(BINOM.DIST(X, N, P, TRUE), MEAN, STDEV)
This formula converts log-normal data to a normal distribution using the BASE function in combination with other Excel functions.
