How convert octal to binary?

Answer 1

If necessary, pad the value with zeroes so the number of bits is an exact multiple of 3. Then divide the binary value into groups of 3 bits. Convert each group to its corresponding octal digit as follows:

Bin = Oct

000 = 0

001 = 1

010 = 2

011 = 3

100 = 4

101 = 5

110 = 6

111 = 7

Example 1:

16-bit value: 1011101101100011

3-bit groupings: (00)1 011 101 101 100 011

Octal digits: 1 3 5 4 3

Octal value: 13543

Example 2:

24-bit value: 010111011010010101011010

3-bit groupings: 010 111 011 010 010 101 011 010

Octal digits: 2 7 3 2 2 5 3 2

Octal value: 27322532

Answer 2

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.

Good luck

Rjames007