Convert Octal to Binary

Professional Octal to Binary converter with instant processing. Convert octal numbers to binary format instantly.

Instant Processing

100% Private

Completely Free

Octal value

Binary value

Octal to binary conversion result in base numbers

(0)₈ = (0)₂

Octal	Binary	Octal	Binary	Octal	Binary	Octal	Binary
0	000	100	001000	200	010000	300	011000
1	001	101	001001	201	10000001	301	11000001
2	010	102	001010	202	10000010	302	11000010
3	011	103	001011	203	10000011	303	11000011
4	100	104	001100	204	10000100	304	11000100
5	101	105	001101	205	10000101	305	11000101
6	110	106	001110	206	10000110	306	11000110
7	111	107	001111	207	10000111	307	11000111
10	001000	110	001000	210	10001000	310	11001000
11	001001	111	001001	211	10001001	311	11001001
12	001010	112	001010	212	10001010	312	11001010
13	001011	113	001011	213	10001011	313	11001011
14	001100	114	001100	214	10001100	314	11001100
15	001101	115	001101	215	10001101	315	11001101
16	001110	116	001110	216	10001110	316	11001110
17	001111	117	001111	217	10001111	317	11001111
20	010000	120	010000	220	10010000	320	11010000
21	010001	121	010001	221	10010001	321	11010001
22	010010	122	010010	222	10010010	322	11010010
23	010011	123	010011	223	10010011	323	11010011
24	010100	124	010100	224	10010100	324	11010100
25	010101	125	010101	225	10010101	325	11010101
26	010110	126	010110	226	10010110	326	11010110
27	010111	127	010111	227	10010111	327	11010111
30	011000	130	011000	230	10011000	330	11011000
31	011001	131	011001	231	10011001	331	11011001
32	011010	132	011010	232	10011010	332	11011010
33	011011	133	011011	233	10011011	333	11011011
34	011100	134	011100	234	10011100	334	11011100
35	011101	135	011101	235	10011101	335	11011101
36	011110	136	011110	236	10011110	336	11011110
37	011111	137	011111	237	10011111	337	11011111
40	100000	140	100000	240	10100000	340	11100000
41	100001	141	100001	241	10100001	341	11100001
42	100010	142	100010	242	10100010	342	11100010
43	100011	143	100011	243	10100011	343	11100011
44	100100	144	100100	244	10100100	344	11100100
45	100101	145	100101	245	10100101	345	11100101
46	100110	146	100110	246	10100110	346	11100110
47	100111	147	100111	247	10100111	347	11100111
50	101000	150	101000	250	10101000	350	11101000
51	101001	151	101001	251	10101001	351	11101001
52	101010	152	101010	252	10101010	352	11101010
53	101011	153	101011	253	10101011	353	11101011
54	101100	154	101100	254	10101100	354	11101100
55	101101	155	101101	255	10101101	355	11101101
56	101110	156	101110	256	10101110	356	11101110
57	101111	157	101111	257	10101111	357	11101111
60	110000	160	110000	260	10110000	360	11110000
61	110001	161	110001	261	10110001	361	11110001
62	110010	162	110010	262	10110010	362	11110010
63	110011	163	110011	263	10110011	363	11110011
64	110100	164	110100	264	10110100	364	11110100
65	110101	165	110101	265	10110101	365	11110101
66	110110	166	110110	266	10110110	366	11110110
67	110111	167	110111	267	10110111	367	11110111
70	111000	170	111000	270	10111000	370	11111000
71	111001	171	111001	271	10111001	371	11111001
72	111010	172	111010	272	10111010	372	11111010
73	111011	173	111011	273	10111011	373	11111011
74	111100	174	111100	274	10111100	374	11111100
75	111101	175	111101	275	10111101	375	11111101
76	111110	176	111110	276	10111110	376	11111110
77	111111	177	111111	277	10111111	377	11111111

Your privacy is protected! No data is transmitted or stored.

Frequently Asked Questions

Octal to binary conversion is the process of converting a base-8 number to a base-2 number. Since 8 = 2³, each octal digit maps directly to exactly 3 binary bits.

Replace each octal digit with its 3-bit binary equivalent: 0=000, 1=001, 2=010, 3=011, 4=100, 5=101, 6=110, 7=111. Combine all the groups to get the binary result.

Octal 7 equals binary 111. The digit 7 in octal is represented as 111 in binary (4+2+1).

Unix file permissions are grouped in sets of 3 bits (read, write, execute) for owner, group, and others. Each group maps perfectly to one octal digit, making chmod values like 755 or 644 a compact way to set permissions.

Exactly 3 binary digits equal one octal digit. This direct relationship makes conversions between binary and octal fast without complex arithmetic.

The octal number system is a base-8 positional numeral system that uses digits 0 through 7. It is closely related to binary and was commonly used in early computing systems and Unix environments.