# How to Convert Decimal Fractions to Hexadecimal

Save

A "decimal fraction" is defined as a fraction which has a base-10 denominator such as 10, 100, 1000 and so forth. Rather than base-10, "hexadecimals" are based on base-16 mathematics. In the base-10 system, a combination of only 10 characters, zero through nine, are used. With the hexadecimal base-16 system, a combination of 16 characters, zero through nine plus alphabets A through F, are used to represent numerical values. As is generally the case with calculators, converting a decimal fraction to its hexadecimal equivalent is more complicated to work out by hand than it is to figure out with a calculator.

## By Hand

• Write down the decimal fraction. For example, 5,902 / 10.

• Divide the fraction's numerator (top or first number) by its denominator (bottom or last number). The result is the decimal equivalent of the fraction. For example, 5,902 / 10 = 590.2. Drop anything after the decimal point (if applicable). For example, 590.2 becomes 590.

• Divide the result by 16. For example, 590 / 16 = 36 with a remainder of 14. The quotient, if greater than 0, must be divided again. Every remainder represents a hexadecimal number according to the following chart. With a remainder of 14, "E" is the hexadecimal number in this example.

• Keep dividing the quotient by 16 until the result is less than 0. For example, 36 / 16 = 2 with a remainder of 4, and 2 / 16 = 0.125. When the quotient is less than 0, proceed to the next step.

• Multiply the quotient by 16. For example, 0.125 * 16 = 2. The product represents a hexadecimal number.

• Write the hexadecimal number. In the example outlined, the hexadecimal equivalent of 5,902 / 10 is 24E.

## Using the Microsoft Scientific Calculator

• Open the "Start" menu, then click "All Programs," "Accessories," then "Calculator" to launch the Microsoft Calculator.

• ### Other People Are Reading

• Click the "View" tab and select "Scientific."

• Enter the fraction's numerator then press the divide key. For example, enter 5902 and press "/" for division.

• Enter the fraction's denominator then press the equal key. For example, enter 10 then press "=" for the result. The result is the decimal equivalent of the fraction.

• Click on the "Hex" radio button to convert to decimal to hexadecimal format.

## References

• Photo Credit Phil Ashley/Lifesize/Getty Images
Promoted By Zergnet

### You May Also Like

• How to Convert Fractions to Decimals

Converting fractions to decimals is just another way of expressing division. The same tools you use to divide whole numbers help you...

• How to Convert Hexadecimal to Decimal

The hexadecimal system is a base-16 number system. It has the regular ten digits 0 through 9, plus the six letters A,...

• How to Convert Octal to Binary

&quot;Octal&quot; and &quot;binary&quot; are both expressions of the base for a counting system. Counting base describes the number at which a system...

• How to Change Decimal to Binary

People tend to express numbers in decimal (base ten) form. But computers think in binary (base two) terms. Sometimes, you have to...

• Who Invented the Number System?

The number system used today, known as the base 10 number system, was first invented by the Egyptians around 3100 BC. Find...

## Related Searches

Check It Out

### Can You Take Advantage Of Student Loan Forgiveness?

M
Is DIY in your DNA? Become part of our maker community.