Binary To Octal

Binary Number System: 

In math and advanced hardware, a binary number is a number communicated in the binary numeral framework or base-2 numeral framework which addresses numeric qualities utilizing two unique images: ordinarily 0 (zero) and 1 (one). The base-2 framework is a positional documentation with a radix of 2. On account of its direct execution in advanced electronic hardware utilizing rationale doors, the binary framework is utilized inside by practically all cutting edge PCs and PC based gadgets. Every digit is alluded to as a piece. 

Octal Number System: 

The octal numeral framework is the base 8 number framework, and utilizes  the digits from 0 to  7. Octal numerals can be produced using binary numerals by gathering continuous binary digits into gatherings of three (beginning from the right).

Also See – Hex to Decimal Convertor Tool

Binary To Hexadecimal Convertor

Binary To Octal Table ( converter )

Binary Number	Octal Number
0	0
1	1
10	2
11	3
100	4
101	5
110	6
111	7
1000	10
1001	11
1010	12
1011	13
1100	14
1101	15
1110	16
1111	17
10000	20
10001	21
10010	22
10011	23
10100	24
10101	25
10110	26
10111	27
11000	30
11001	31
11010	32
11011	33
11100	34
11101	35
11110	36
11111	37
100000	40
1000000	100
10000000	200
100000000	400

Technique for Binary to Octal Conversion 

The numbers 0 and 1 are called binary number and addressed by base-2 documentations, though, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are called as octal numbers and addressed by base-8 documentations. The binary to octal transformation should be possible by bits gathering strategy. Follow the beneath steps to learn and rehearse how to perform binary to octal change. 

stage 1: Separate the digits of a given binary number into bunches from right to left side, each containing 4 pieces. 

stage 2: Add 0’s to one side, if the last gathering doesn’t contain 3 digits. 

stage 3: Find the same octal number for each gathering. 

stage 4: Write the all gatherings octal numbers together, keeping the gathering control gives the same octal number to the given binary.

Hex	Decimal	Octal	Binary
0	0	0	0
1	1	1	1
2	2	2	10
3	3	3	11
4	4	4	100
5	5	5	101
6	6	6	110
7	7	7	111
8	8	10	1000
9	9	11	1001
A	10	12	1010
B	11	13	1011
C	12	14	1100
D	13	15	1101
E	14	16	1110
F	15	17	1111
10	16	20	10000
20	32	40	100000
40	64	100	1000000
80	128	200	10000000
100	256	400	100000000
200	512	1000	1000000000
400	1024	2000	10000000000

Technique for Octal to Binary Conversion

This transformation should be possible by tracking down the binary comparable for an every digit of the octal number, joining them together in a similar request. The underneath steps may valuable to learn and rehearse how to perform octal to binary transformation.

stage 1: Separate the digits of the given octal number, in the event that it contains more than 1 digit.

stage 2: Find the same binary number for every digit of octal number. Add as numerous 0’s to one side, if any of the binary comparable is more limited than 3 pieces.

stage 3: Write the all gather’s binary numbers, keeping a similar gathering control gives the same binary to the given octal number.

Utilizing Grouping 

Since, there are just 8 digits (from 0 to 7) in octal number framework, so we can address any digit of octal number framework utilizing just 3 cycle as following underneath. 

Octal  Value	Binary Value
0	000
1	001
2	010
3	011
4	100
5	101
6	110
7	111

In this way, on the off chance that you make each gathering of 3 bit of binary information number, supplant each gathering of binary number from its comparable octal digits. That will be octal number of given number. Note that you can add quite a few 0’s in furthest left piece (or in most huge piece) for number part and add quite a few 0’s in furthest right piece (or in least critical piece) for portion part for finishing the gathering of 3 cycle, this doesn’t change worth of information binary number. 

In this way, these are following strides to change over a binary number into octal number. 

Take binary number 

Separation the binary digits into gatherings of three (beginning from ideal) for number part and start from left for portion part. 

Convert each gathering of three binary digits to one octal digit. 

This is basic calculation where you need to gathered binary number and supplant their comparable octal digit.