Looking for a quick and easy way to convert decimal to octal? Whether you’re a student tackling math problems or a tech enthusiast working on a coding project, converting decimal numbers to octal doesn’t have to be a headache. With Nam Generator’s Decimal to Octal Converter, you can get accurate results in just seconds—without the hassle!

Read More: Binary to Decimal Converter

What is Decimal to Octal Converter?

Before we dive into why our tool is the best choice, let’s clarify what Decimal to Octal Converter is. The decimal system (base 10) is what we use in everyday life—numbers are made up of digits from 0 to 9. The octal system (base 8), however, uses only digits from 0 to 7. Converting decimal to octal is essential in fields like computer science and digital electronics because some systems, like certain microcontrollers, rely on the octal number format.

Why Choose Nam Generator’s Converter?

Our Decimal to Octal Converter is designed to provide fast, accurate, and user-friendly results. Here’s why Nam Generator is your best choice:

• Instant Results: No more manual calculations! Simply enter your decimal number, and get the octal equivalent instantly.
• Easy to Use: No tech expertise needed—our converter is designed for everyone, from students to professionals.
• Free & Accessible: Available anytime, anywhere! Whether you’re on your desktop or mobile, our free converter is at your service.
• Error-Free Calculations: Enjoy peace of mind knowing that your conversions are 100% accurate.

How to Use Nam Generator’s Decimal to Octal Converter

Using our tool is as easy as 1-2-3:

1. Enter Your Decimal Number: Type your decimal number into the converter box.
2. Click Convert: Hit the convert button and watch the magic happen!
3. Get Your Octal Number: Instantly see your result and use it for your projects, studies, or personal needs.

Why Decimal to Octal Converter?

Converting decimal to octal has various practical applications, particularly in computer programming, networking, and digital hardware design. Octal numbers are more compact than binary numbers, making them easier to manage in some contexts. Whether you’re learning about number systems in school or working with octal values in coding, our converter will save you time and effort.

How to Decimal to Octal Converter

Decimal to Octal Converter can be achieved by applying the repeated division and remainder algorithm. Simply put, the decimal number is repeatedly divided by the radix 8. In between these divisions, the remainders give the octal equivalent in reverse order.

Here is how to Decimal to Octal Converter step by step:

• Step 1: If the given decimal number is less than 8, the octal equivalent is the same. If the given number is greater than 7, divide the number by 8.
• Step 2: Write down the remainder.
• Step 3: Divide the part before the decimal point of your quotient by 8 again.
• Step 4: Write down the remainder.
• Step 5: Continue this process of dividing by 8 and noting the remainders until the last decimal digit you are left with is less than 8.
• Step 6: When the last decimal digit is less than 8, the quotient will be less than 0 and the remainder will be the digit itself.
• Step 7: The last remainder you get will be the most significant digit of your octal value while the first remainder from Step 3 is the least significant digit. Therefore, when you write the remainders in reverse order – starting at the bottom with the most significant digit and going to the top- you will reach the octal value of the given decimal number.

Decimal to Octal Converter Chart Table

Decimal	Octal
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
10	12
11	13
12	14
13	15
14	16
15	17
16	20
17	21
18	22
19	23
20	24
21	25
22	26
23	27
24	30
25	31
26	32
27	33
28	34
29	35
30	36
31	37
32	40
33	41
34	42
35	43
36	44
37	45
38	46
39	47
40	50
41	51
42	52
43	53
44	54
45	55
46	56
47	57
48	60
49	61
50	62
51	63
52	64
53	65
54	66
55	67
56	70
57	71
58	72
59	73
60	74
61	75
62	76
63	77
64	100

Decimal	Octal
65	101
66	102
67	103
68	104
69	105
70	106
71	107
72	110
73	111
74	112
75	113
76	114
77	115
78	116
79	117
80	120
81	121
82	122
83	123
84	124
85	125
86	126
87	127
88	130
89	131
90	132
91	133
92	134
93	135
94	136
95	137
96	140
97	141
98	142
99	143
100	144
101	145
102	146
103	147
104	150
105	151
106	152
107	153
108	154
109	155
110	156
111	157
112	160
113	161
114	162
115	163
116	164
117	165
118	166
119	167
120	170
121	171
122	172
123	173
124	174
125	175
126	176
127	177
128	200

Decimal	Octal
129	201
130	202
131	203
132	204
133	205
134	206
135	207
136	210
137	211
138	212
139	213
140	214
141	215
142	216
143	217
144	220
145	221
146	222
147	223
148	224
149	225
150	226
151	227
152	230
153	231
154	232
155	233
156	234
157	235
158	236
159	237
160	240
161	241
162	242
163	243
164	244
165	245
166	246
167	247
168	250
169	251
170	252
171	253
172	254
173	255
174	256
175	257
176	260
177	261
178	262
179	263
180	264
181	265
182	266
183	267
184	270
185	271
186	272
187	273
188	274
189	275
190	276
191	277
192	300

Decimal	Octal
193	301
194	302
195	303
196	304
197	305
198	306
199	307
200	310
201	311
202	312
203	313
204	314
205	315
206	316
207	317
208	320
209	321
210	322
211	323
212	324
213	325
214	326
215	327
216	330
217	331
218	332
219	333
220	334
221	335
222	336
223	337
224	340
225	341
226	342
227	343
228	344
229	345
230	346
231	347
232	350
233	351
234	352
235	353
236	354
237	355
238	356
239	357
240	360
241	361
242	362
243	363
244	364
245	365
246	366
247	367
248	370
249	371
250	372
251	373
252	374
253	375
254	376
255	377

Decimal to Octal

The Decimal to Octal Converter involves transforming numbers from the decimal system, which is base-10, into the octal system, which is base-8. While the decimal system uses ten digits (0 to 9), the octal system only uses eight digits (0 to 7). Decimal numbers are often Decimal to Octal Converter to octal for specific computing and programming needs, as octal is closely related to binary, making it easier to process by machines. This is a crucial function in many mathematical calculations and digital systems.

Hexadecimal to Octal Converter

In addition to decimal, numbers in the hexadecimal system (base-16) can also be converted to octal. Hexadecimal uses sixteen symbols (0-9 and A-F), where A stands for 10, B for 11, and so on, up to F for 15. To perform a hexadecimal-to-octal conversion, numbers must first be converted from hexadecimal to binary, then from binary to octal. Online Hexadecimal to Octal converters are available to facilitate this process by quickly converting values without the need for manual calculations.

Decimal to Octal Converter Formula

The formula for Decimal to Octal Converter involves repeatedly dividing the decimal number by 8 and recording the remainder. The steps are:

1. Divide the decimal number by 8.
2. Write down the remainder.
3. Divide the quotient from the previous division by 8 again.
4. Continue dividing until the quotient becomes zero.
5. The octal equivalent is the sequence of remainders read from bottom to top.

Example: Convert the decimal number 78 to octal:

• 78 ÷ 8 = 9 (remainder: 6)
• 9 ÷ 8 = 1 (remainder: 1)
• 1 ÷ 8 = 0 (remainder: 1)

Thus, 78 in decimal is 116 in octal.

Decimal to Octal Table

To simplify conversion, decimal to octal tables provide a quick reference for commonly converted numbers. Below is a sample of a decimal to octal table:

Decimal	Octal
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
10	12
…	…
100	144

This table makes it easy to find octal equivalents for smaller decimal numbers. For larger numbers, a calculator is usually more efficient.

Decimal to Octal with Decimal Point

Converting decimal numbers with fractional parts (numbers with decimal points) to octal follows a slightly different process. Here’s how:

1. Convert the integer part of the decimal number to octal using the standard method.
2. Multiply the decimal (fractional) part by 8.
3. The integer part of the result is the next digit in the octal representation.
4. Repeat the multiplication until the fractional part becomes zero or reaches a satisfactory precision.

Example: Convert 45.625 to octal:

• Integer part: 45 in decimal converts to 55 in octal.
• Fractional part: 0.625 × 8 = 5.000, so the fractional part in octal is .5.

Thus, 45.625 in decimal is 55.5 in octal.

Decimal to Octal Questions

1. What is 34 in octal?
   • To convert 34 to octal, divide by 8: 34 ÷ 8 = 4 remainder 2. So, 34 in decimal is 42 in octal.
2. How do you convert a fractional decimal to octal?
   • Convert the integer part using the division method and multiply the fractional part by 8 repeatedly to get the octal fraction.
3. What is the use of the octal system?
   • The octal system is primarily used in computing and digital systems because of its close relation to binary.

Decimal to Octal Converter Examples PDF

For in-depth study, you can download a Decimal to Octal Converter Examples PDF that includes step-by-step explanations and exercises for converting both whole numbers and fractions. This resource is especially useful for students and professionals looking for practice problems or reference material for quick conversions. You can find downloadable PDFs on educational websites or create your own with various solved examples for future reference.

Octal Calculator

An Octal Calculator simplifies the process of converting decimal numbers to octal. These calculators are available online and can instantly convert decimal numbers to octal with or without decimal points. They are handy tools for quick calculations, making them indispensable for programmers, engineers, and students. The calculators are designed to handle both simple conversions and more complex calculations involving large numbers.

Conclusion:

The Decimal to Octal Converter is a valuable tool that transforms numbers from the decimal system into the octal system, a process important in digital computing and electronics. Whether you’re working with whole numbers or fractional decimal points, using a manual method or an online calculator, understanding the fundamentals of Decimal to Octal Converter can enhance your grasp of numerical systems used in technology.

Read More: Decimal to Octal Converter

FAQs:

What is a Decimal to Octal Converter?
A tool that converts decimal (base-10) numbers into octal (base-8) numbers.

How do you convert decimal to octal manually?
Divide the decimal number by 8 and record the remainders, then read them from bottom to top.

Why is the octal system used in computers?
The octal system simplifies binary coding, as each octal digit represents exactly three binary digits.

What is 25 in decimal converted to octal?
25 in decimal is 31 in octal.

Can I convert decimal fractions to octal?
Yes, by converting the integer and fractional parts separately using division and multiplication by 8.

What are common applications of the octal system?
Used in computing, especially in low-level programming and digital electronics.

Is there a direct method for converting hexadecimal to octal?
No, you first convert hexadecimal to binary, then binary to octal.

Can negative decimal numbers be converted to octal?
Yes, convert the absolute value to octal and add the negative sign.

What is 100 in decimal in the octal system?
100 in decimal is 144 in octal.

What tools are available for Decimal to Octal Converter?
You can use online converters, calculators, or manual methods.

What’s the difference between binary and octal systems?
Binary uses two digits (0, 1), while octal uses eight digits (0-7).

How does a calculator help in Decimal to Octal Converter?
A calculator automates the division and remainder process, providing quick results.

Is there a Decimal to Octal Converter app?
Yes, several apps and websites offer instant conversion tools for decimal to octal.

Can I convert octal numbers back to decimal?
Yes, you can reverse the process by multiplying each digit by powers of 8.

What is the octal equivalent of 78?
The octal equivalent of 78 in decimal is 116.

How do I convert 0.625 decimal to octal?
Multiply the fractional part (0.625) by 8 to get 5, so 0.625 in octal is .5.

What is the octal number system?
A base-8 number system that uses digits 0 to 7.

Can I use Decimal to Octal Converter in programming?
Yes, it’s often used in programming, particularly in dealing with permissions in UNIX-based systems.

What’s the octal equivalent of 45.5 in decimal?
45.5 in decimal is 55.4 in octal.

Is converting large decimal numbers to octal complicated?
For very large numbers, it’s easier to use an octal calculator or converter to avoid errors.