Conversion ofNumber Systems

Welcome to our Number System Conversion tool, offering effortless conversion between popular number systems such as Binary, Octal, Decimal, and Hexadecimal with these intuitive calculators.

What are Number Systems?

Number systems are a fundamental concept in mathematics and computer science. There are several popular numeral systems used around the world, including the decimal, binary, octal and hexadecimal. Understanding these systems is important for a variety of purposes, including digital electronics, computer programming, and cultural studies.

Number systems play a crucial role in mathematics and computer science, as they provide a way to represent numerical values in a structured and systematic way. By using different sets of symbols and rules, each numeral system allows for the representation of numbers in a unique way, making them useful for different applications.

The decimal system, for example, is the most commonly used system worldwide, using ten digits (0-9) to represent numbers based on the powers of ten. On the other hand, the binary system uses only two digits (0 and 1) to represent numbers based on the powers of two, and is essential in computing and digital electronics.

The octal and hexadecimal systems are also widely used in computer programming and networking, with the octal system using eight digits (0-7) and the hexadecimal system using sixteen digits (0-9 and A-F) to represent numbers based on the powers of eight and sixteen, respectively.

Understanding the different numeral systems and their applications is important for a variety of purposes, including mathematics, computer science, and cultural studies.

DecOctHexBin
0000
1111
22210
33311
444100
555101
666110
777111
81081000
91191001
1012A1010
1113B1011
1214C1100
1315D1101
1416E1110
1517F1111
16201010000
17211110001
18221210010
19231310011
20241410100
21251510101
22261610110
23271710111
24301811000
25311911001
26321A11010
27331B11011
28341C11100
29351D11101
30361E11110
31371F11111
324020100000
334121100001
344222100010
354323100011
364424100100
374525100101
384626100110
394727100111
405028101000
415129101001
42522A101010
43532B101011
44542C101100
45552D101101
46562E101110
47572F101111
486030110000
496131110001
506232110010
516333110011
526434110100
536535110101
546636110110
556737110111
567038111000
577139111001
58723A111010
59733B111011
60743C111100
61753D111101
62763E111110
63773F111111
DecOctHexBin
64100401000000
65101411000001
66102421000010
67103431000011
68104441000100
69105451000101
70106461000110
71107471000111
72110481001000
73111491001001
741124A1001010
751134B1001011
761144C1001100
771154D1001101
781164E1001110
791174F1001111
80120501010000
81121511010001
82122521010010
83123531010011
84124541010100
85125551010101
86126561010110
87127571010111
88130581011000
89131591011001
901325A1011010
911335B1011011
921345C1011100
931355D1011101
941365E1011110
951375F1011111
96140601100000
97141611100001
98142621100010
99143631100011
100144641100100
101145651100101
102146661100110
103147671100111
104150681101000
105151691101001
1061526A1101010
1071536B1101011
1081546C1101100
1091556D1101101
1101566E1101110
1111576F1101111
112160701110000
113161711110001
114162721110010
115163731110011
116164741110100
117165751110101
118166761110110
119167771110111
120170781111000
121171791111001
1221727A1111010
1231737B1111011
1241747C1111100
1251757D1111101
1261767E1111110
1271777F1111111
DecOctHexBin
1282008010000000
1292018110000001
1302028210000010
1312038310000011
1322048410000100
1332058510000101
1342068610000110
1352078710000111
1362108810001000
1372118910001001
1382128A10001010
1392138B10001011
1402148C10001100
1412158D10001101
1422168E10001110
1432178F10001111
1442209010010000
1452219110010001
1462229210010010
1472239310010011
1482249410010100
1492259510010101
1502269610010110
1512279710010111
1522309810011000
1532319910011001
1542329A10011010
1552339B10011011
1562349C10011100
1572359D10011101
1582369E10011110
1592379F10011111
160240A010100000
161241A110100001
162242A210100010
163243A310100011
164244A410100100
165245A510100101
166246A610100110
167247A710100111
168250A810101000
169251A910101001
170252AA10101010
171253AB10101011
172254AC10101100
174256AE10101110
175257AF10101111
176260B010110000
177261B110110001
178262B210110010
179263B310110011
180264B410110100
181265B510110101
182266B610110110
183267B710110111
184270B810111000
185271B910111001
186272BA10111010
187273BB10111011
188274BC10111100
189275BD10111101
190276BE10111110
191277BF10111111
DecOctHexBin
192300C011000000
193301C111000001
194302C211000010
195303C311000011
196304C411000100
197305C511000101
198306C611000110
199307C711000111
200310C811001000
201311C911001001
202312CA11001010
203313CB11001011
204314CC11001100
205315CD11001101
206316CE11001110
207317CF11001111
208320D011010000
209321D111010001
210322D211010010
211323D311010011
212324D411010100
213325D511010101
214326D611010110
215327D711010111
216330D811011000
217331D911011001
218332DA11011010
219333DB11011011
220334DC11011100
221335DD11011101
222336DE11011110
223337DF11011111
224340E011100000
225341E111100001
226342E211100010
227343E311100011
228344E411100100
229345E511100101
230346E611100110
231347E711100111
232350E811101000
233351E911101001
234352EA11101010
235353EB11101011
236354EC11101100
237355ED11101101
238356EE11101110
239357EF11101111
240360F011110000
241361F111110001
242362F211110010
243363F311110011
244364F411110100
245365F511110101
246366F611110110
247367F711110111
248370F811111000
249371F911111001
250372FA11111010
251373FB11111011
252374FC11111100
253375FD11111101
254376FE11111110
255377FF11111111