How can convert decimal to octal

Decimal Number Defenition : All numbers with the base 10 are known as Decimal numbers. The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are used to represent decimal numbers. Octal Numbers, also called Oct, are numbers with base 8. Octal Numbers are represented by only 8 digits — 0, 1, 2, 3, 4, 5, 6, and 7. If a is an Octal number then, in Octal Number system, it is represented as a 8.

Octal Number Example : 21 8. The Quotient is 55 and the remainder is 0. The Quotient is 6 and the remainder is 7. Convert to Octal Number. Divide the given decimal number by 8 until the quotient is less than 8. Now note all the remainders from bottom to top. Now that you are provided with all the necessary information on how to convert Decimal Number to Octal number system. If you have any queries regarding this article, ping us through the comment box below and we will get back to you as soon as possible.

Note that dividend here given decimal number is the number being divided, the divisor here base of octal, i. Since given number is decimal integer number, so by using above algorithm performing short division by 8 with remainder. Now, write remainder from bottom to up in reverse order , this will be which is equivalent octal number of decimal integer But above method can not convert fraction part of a mixed a number with integer and fraction part octal number.

For decimal fractional part, the method is explained as following below. Let decimal fractional part is M then multiply this number from 8 because base of octal number system is 8. Again multiply remaining decimal fractional number till it became 0 and note every integer part of result of every step. Then write noted results of integer part, which will be equivalent fraction octal number of given decimal number.

This is procedure for converting an fractional decimal number, algorithm is given below. Store the value of integer part of result in an array it will be: 0, 1, 2, 3, 4, 5, 6, and 7 because of multiplier 8. There are two methods to convert decimal to octal numbers. The first is by direct conversion where the decimal number is divided by the octal base number which is 8 until the quotient is less than 8.

The final octal number is obtained by arranging the remainder and the last quotient from the bottom to the top. The second method to convert decimal to octal is by converting the decimal number to another number system i. Decimal to octal conversion helps in determining the equivalent of another number in the number system. The number system has four types: binary number system, octal number system, decimal number system, and hexadecimal number system.

Each of these number types has its own base numbers. Decimal to octal conversion is based on their base numbers. To convert decimal to octal, we start by dividing 12 by the octal base number 8.

Here are the steps,. To convert decimal to octal with a decimal point we need to break the decimal number into two parts i. The conversion begins with the integer part first by dividing the number by 8 until the quotient is less than 8. Keep aside the result and move ahead to the fractional part.

The fractional part will be multiplied by 8 until the result is equal to zero. The integer part and the fractional part will be kept separately again here. The answer will be the integer part counted from top to bottom.

The final number is obtained by adding the integer and the fractional part. Learn Practice Download. Decimal to Octal Decimal to octal conversion is done keeping the number system in mind. What is Decimal to Octal Conversion? Convert Decimal to Octal 3. Solution: To obtain the binary number 80, we can divide it continuously by 2. Have questions on basic mathematical concepts? Become a problem-solving champ using logic, not rules. Learn the why behind math with our certified experts.

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