The conversion of octal number to binary can be obtained by using two methods. First, it can be converted into decimal and then obtained decimal is converted into binary. In the second method, each digit in the octal number is replaced by its 3 bit binary equivalent. to get the 3-bit binary equivalent, first we will find the binary equivalent of digit. if it is not in 3 bits, then the zeros are placed before the binary equivalent to make it of 3 bits. Foe example:
Convert (217)8 into its binary equivalent.
Solution: The given octal number is (217)8
2 = 0 1 0
1 = 0 0 1
7 = 1 1 1
The digits are converted into their 3 bit binary equivalents. Here the binary equivalents in 3 bits of 2, 1 and 7 are 0 1 0, 0 0 1, and 1 1 1 respectively. So the binary equivalent of (271)8 is 0 1 0 0 0 1 1 1 1.
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Rjames007