Conversion of binary to octal

Answer 1

Starting from the right divide the binary number up in 3 bit sections, then convert each 3 bit section into its decimal equivalent.
Example: 101001110111012 = 10|100|111|011|101 =247358

Answer 2

Binary is a base 2 number system, while octal is base 8. This happens to make conversion between binary and octal fairly trivial, although more complex than conversion to hexadecimal. To convert to octal from binary, take each three bits, starting from the least significant bit, and convert them to their octal equivalent.

Examples:

25510 = 111111112 = 11 111 111 = 3778

17410 = 101011102 = 10 101 110 = 2568

You can repeat this process for as many bits as you need. A 24-bit number should translate into 8 octal numbers, for reference.

Answer 3

The octal number system consists of the digits 0 - 7, whose binary equivalents are as follows -

Octal Binary

0 000

1 001

2 010

3 011

4 100

5 101

6 110

7 111

For converting any octal number to binary, simply take each of its digits and replace it by its binary equivalent, irrespective of its position. For example,

(76.53) in octal is equivalent to (111110.101011) in binary.

Answer 4

i think we can use 421 code to convert it...

for the question given let us consider digits after decimal point...

first group the digits in such a way that each group has three digits... grouping must be done from the rightmost digit......then apply 421 code...likewise same procedure is followed for digits b4 the decimal points...

Hence the answer is 415.151

i think it will go like this

10 001 101.011 010 01

grouping before decimal FM right and after FM left and using 8421 code

it is : 215.322

Answer 5

Working from right to left, split the binary digits into groups of three bits. Each group is treated as a separate binary number. Thus for each group, bit-0 (the least-significant bit) represents the decimal value 1, bit-1 the decimal value 2 and bit-2 (the most-significant bit) the decimal value 4. Adding all the set bits together in each group yields an octal digit in the range 0 to 7 inclusive.

For example:

1001101011 (decimal 619) can be split into the following groups of three bits (with (00) padding in the first group):

(00)1 = 1

001 = 1

101 = 4+1 = 5

011 = 2+1 = 3

Thus 1001101011 binary is 1153 octal.

Answer 6

It's easy to convert binary to octal. Each 3 bit group of a binary number convert to an octal value. We work right to left.

1 101 001 111 011 = 15173