Binary To Octal | Octal To Binary | Conversion | Bengali Computer Tutorial
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Octal to binary conversion is a straightforward process because each octal digit directly corresponds to a unique three-bit binary representation. The octal number system is base-8, meaning it consists of digits from 0 to 7, while the binary system is base-2, using only 0s and 1s. To convert an octal number to binary, each octal digit is individually replaced with its three-bit binary equivalent. For example, the octal number 245 is converted by replacing 2 with 010, 4 with 100, and 5 with 101, resulting in the binary number 010100101. This method is efficient because it eliminates the need for complex calculations and provides a direct mapping between the two number systems, making it widely used in digital electronics and computer science.
Binary to octal conversion is just as simple as octal to binary, but in reverse. Since each octal digit corresponds to a group of three binary digits, the conversion process involves grouping the binary number into sets of three, starting from the right. If the total number of binary digits isn’t a multiple of three, leading zeros are added to complete the leftmost group. Each group is then replaced with its corresponding octal digit. For example, to convert the binary number 11010111 to octal, we first group it as 11 010 111. Adding a leading zero to complete the leftmost group gives 011 010 111, which corresponds to the octal digits 3 2 7, resulting in the final octal number 327₈. This method makes binary-to-octal conversion quick and efficient, especially in computing and digital electronics.
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