Convert number from any base to any base:

- Convert from source base to decimal (base 10 ) by multiplying each digit with the base raised to the power of the digit number (starting from right digit number 0):

decimal = ∑(digit×base^{digit number}) - Convert from decimal to destination base: divide the decimal with the base until the quotient is 0 and calculate the remainder each time. The destination base digits are the calculated remainders.

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When converting binary to decimal, the first step is to break the binary number into groups of two digits, starting from the right. In the number 101101, the first two digits are 1 and 1, so these digits are left unchanged. The next two digits are 10 and 1, so these digits are converted to 3 (10 is 1 more than 9 and 1 is 1 more than 0). The last two digits are 01 and 1, so these digits are converted to 1 (01 is 1 more than 00). The final number is 3131.

The second step is to add the numbers in each group together. The first group is 1+1+3+1, or 6. The second group is 3+1, or 4. The third group is 1, so this number is left unchanged. The final number is 10.

When working with computers, it is often necessary to convert between different number systems. The most common system is the decimal system, which uses base 10. Other systems include hexadecimal, which uses base 16, and binary, which uses base 2.

This article will show you how to convert hexadecimal to decimal.

To convert hexadecimal to decimal, divide the hexadecimal number by 16 and take the remainder. For example, if you want to convert the hexadecimal number A9 to decimal, divide A9 by 16 and take the remainder:

A9 / 16 = 5 remainder 9

So the decimal equivalent of A9 is 5 + 9 = 14.

You can also use a calculator to convert hexadecimal to decimal. Simply enter the hexadecimal number into the calculator and press the equals sign (=). The decimal equivalent will be displayed.

Converting octal to decimal is a relatively simple process, and can be done using a basic calculator or a conversion chart. In octal, each number is represented by a combination of three digits, with the first digit representing the number's value from 0-7, the second digit representing the number's value from 0-7, and the third digit representing the number's value from 0-7. In decimal, each number is represented by a combination of one or two digits, with the first digit representing the number's value from 0-9, and the second digit representing the number's value from 0-9.

To convert an octal number to decimal, divide the number by 8 and round the result down to the nearest whole number. For example, the octal number 124 (which is equivalent to the decimal number 10.8) can be converted to decimal by dividing 124 by 8, which results in a decimal value of 15.375. Rounding this value

When converting decimal numbers to binary, there are a few steps that need to be followed. The first step is to divide the decimal number by 2. This will give you the remainders for the number. Write these remainders down below the number.

The next step is to take the number that is above the decimal point and divide it by 2. Write down the remainders for this number as well.

The last step is to add the numbers together. This will give you the binary number for the decimal number.

Let’s take a look at an example. Converting the decimal number 9 to binary would look like this:

9 / 2 = 4 with a remainder of 1

4 / 2 = 2 with a remainder of 0

1 + 0 = 1

The binary number for 9 is 1.

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