Octal to Binary calculator Online

An Octal to Binary Calculator simplifies the conversion process between octal (base 8) and binary (base 2), two fundamental numeral systems used extensively in computing. By accurately transforming octal digits into binary, this tool aids in data manipulation and software development, ensuring smooth data processing and programming tasks.

Formula of Octal to Binary calculator

Octal to Decimal Conversion

To convert an octal number to decimal, multiply each digit of the octal number by 8 raised to the power of its position, starting from the rightmost digit. For example, the octal number 123 in decimal would be calculated as: 1 * (8^2) + 2 * (8^1) + 3 * (8^0) = 64 + 16 + 3 = 83.

Decimal to Binary Conversion

Converting decimal to binary involves dividing the decimal number by 2 and keeping track of the remainders. Continue dividing the quotient by 2 until you reach 0, then record the remainders in reverse order. For decimal 83, the binary form is 1010011.

Conversion Table and Tools

Octal Number (Base 8)	Binary Equivalent (Base 2)
1	1
2	10
3	11
4	100
5	101
6	110
7	111
10	1000
11	1001
12	1010
13	1011
14	1100
15	1101
16	1110
17	1111
20	10000

Example of Octal to Binary calculator

Let’s convert the octal number 245 to binary:

1. Convert 245 octal to decimal = 2 * (8^2) + 4 * (8^1) + 5 * (8^0) = 128 + 32 + 5 = 165.
2. Convert 165 decimal to binary = 10100101.

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