Read the remainders from the bottom to the top since the least significant digit will be at the top, and the most significant digit will be at the bottom. The remainders that you wrote to the side of the division problems are the resulting number in the desired base. Just as with the first step, write the remainder to the side of the problem.Ĭontinue this process until the resulting quotient is 0. Take the resulting quotient of the first division problem and divide that by the desired base again. For remainders larger than 9, use the table below to find the equivalent letter digit.īe sure to keep track of your remainders, in order, because you will need them later on. Write the remainder to the side of the division problem. To use the successive division method, divide the decimal number by the desired base using long division. To convert the decimal number to the desired result base, use the successive division method. How to Convert From From Decimal to Any Base The calculator above can convert hex numbers to decimals, including fractional numbers like this one, along with negative numbers. How to Turn a Fraction into a Division Problem. In a fraction, the fraction bar means 'divided by.' So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4. When using this formula, d 0 is the digit furthest to the right, d 1 is the digit one position from the right, and d n – 1 is the digit furthest to the left.įor example, let’s convert the hexadecimal number c3f to base 12. This calculator shows the steps and work to convert a fraction to a decimal number. The digit that is one position from the right is equal to the digit times (base) 1.ĭecimal number 10 = (d 0 × (base) 0) + (d 1 × (base) 1) + … + (d n – 1 × (base) n – 1) So, reading the original number from right to left, the furthest digit to the right is equal to the digit times (base) 0. Multiply each digit in the number from the rightmost number to the left by the base to the power of n, where n is the distance from the right. To convert a number to a decimal, use the positional notation method. If the number is already a decimal, move on to the next step. The first step to convert a number to another base is to convert the number to a decimal. The second step is to convert from decimal to the desired base. The first step is to convert the number to decimal, or base 10, if it is not already. There are two easy steps to convert a number from one base to another.
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