Octal to Binary Converter

To convert an octal number into a binary number, enter the value, and click calculate button

Table of Contents:

Octal to Binary Converter
Converting Octal to a binary number:
Examples
Conversion of numbers from 0 to 100.

Octal to Binary Converter

Octal to binary Converter is a mathematical online tool that helps to convert the Octal number into a binary number with just one click.

Converting Octal to a binary number:

The conversion is taking just lcm and writing left values backwardly to convert octal to binary number convert octal to decimal number and then take lcm with 2 to convert in the binary number system.

Converting from an Octal to a Binary number system the domain digit converts from “0 to 7” to 0 to 1”. This system contains only two characters such as {0, 1}.

Examples

Example 1:

Few conversions of octal numbers to the binary number system.

(32)₈

Step 1:

Convert Octal to Decimal

(32)₈ = 3×8¹+2×8⁰ = 26

Step 2:

Now Convert Decimal to Binary

2	26
2	13 – 0
2	6 – 0
2	3 – 0
	1 – 1

(32)₈ = (11000)₂

b) (64)₈

Step 1:

Convert Octal to Decimal

(64)₈ = 6×8¹+4×8⁰ = 52

Step 2:

Now Convert Decimal to Binary

2	52
2	26 – 0
2	13 – 0
2	6 – 0
2	3 – 0
	1 – 1

(64)₈ = (110000)₂

Conversion of numbers from 0 to 100.

Dec	Oct	Bin
0	0	0
1	1	1
2	2	10
3	3	11
4	4	100
5	5	101
6	6	110
7	7	111
8	10	1000
9	11	1001
10	12	1010
11	13	1011
12	14	1100
13	15	1101
14	16	1110
15	17	1111
16	20	10000
17	21	10001
18	22	10010
19	23	10011
20	24	10100
21	25	10101
22	26	10110
23	27	10111
24	30	11000
25	31	11001
26	32	11010
27	33	11011
28	34	11100
29	35	11101
30	36	11110
31	37	11111
32	40	100000
33	41	100001
34	42	100010
35	43	100011
36	44	100100
37	45	100101
38	46	100110
39	47	100111
40	50	101000
41	51	101001
42	52	101010
43	53	101011
44	54	101100
45	55	101101
46	56	101110
47	57	101111
48	60	110000
49	61	110001
50	62	110010
51	63	110011
52	64	110100
53	65	110101
54	66	110110
55	67	110111
56	70	111000
57	71	111001
58	72	111010
59	73	111011
60	74	111100
61	75	111101
62	76	111110
63	77	111111
64	100	1000000
65	101	1000001
66	102	1000010
67	103	1000011
68	104	1000100
69	105	1000101
70	106	1000110
71	107	1000111
72	110	1001000
73	111	1001001
74	112	1001010
75	113	1001011
76	114	1001100
77	115	1001101
78	116	1001110
79	117	1001111
80	120	1010000
81	121	1010001
82	122	1010010
83	123	1010011
84	124	1010100
85	125	1010101
86	126	1010110
87	127	1010111
88	130	1011000
89	131	1011001
90	132	1011010
91	133	1011011
92	134	1011100
96	140	1100000
97	141	1100001
98	142	1100010
99	143	1100011
100	144	1100100

Math Tools

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