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# How do you convert a number from base 10 to another base?

## How do you convert a number from base 10 to another base?

The Process:

1. Divide the “desired” base (in this case base 2) INTO the number you are trying to convert.
2. Write the quotient (the answer) with a remainder like you did in elementary school.
3. Repeat this division process using the whole number from the previous quotient (the number in front of the remainder).

### How do you convert base 10 to base8?

The formula is 18 = 110 and 108 = 810. Everything else can be derived from that. If you have a sequence of base 8 digits you want to convert to a base 10 number, process them from left to right, keeping a total you initialize at zero. For each digit x, set the total to 8*total+x.

How do you convert a number from base to base?

Decimal to Other Base System

1. Step 1 − Divide the decimal number to be converted by the value of the new base.
2. Step 2 − Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number.
3. Step 3 − Divide the quotient of the previous divide by the new base.

How do you write numbers in base 16?

Hexadecimal is the name of the numbering system that is base 16. This system, therefore, has numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15. That means that two-digit decimal numbers 10, 11, 12, 13, 14, and 15 must be represented by a single numeral to exist in this numbering system.

## How do you convert a number from base 10 to hexadecimal?

Steps:

1. Divide the decimal number by 16. Treat the division as an integer division.
2. Write down the remainder (in hexadecimal).
3. Divide the result again by 16. Treat the division as an integer division.
4. Repeat step 2 and 3 until result is 0.
5. The hex value is the digit sequence of the remainders from the last to first.

### How do you convert Octadecimal to decimal?

Mentioned below are the steps to convert octal to decimal:

1. Arrange the octal number with the power of 8.
2. Find the value of each of the numbers with exponents i.e. 80 is 1, 81 is 8, etc.
3. Multiply each number.
4. Add the product of all numbers to obtain the decimal number.

How do you convert from base 10 to hexadecimal?