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Decimal to Hex Converter

The Decimal to Hex Converter is a user-friendly online tool that quickly converts Decimal to Hex.

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Decimal to Hex Converter

Decimal to Hex Converter is a platform that helps to convert decimal numbers to hexadecimal numbers, to resolve this type of calculation quickly and easily for people who need it with little effort in computing, programming, or electronics. By using this single interface, you can perform this conversion within a blink of an eye and thus recommended for students, developers, engineers, and tech-savvy.

About Decimal and Hexadecimal

Decimal System (Base-10)
This numerical system is also referred to essentially as the base-10” numerical system or more popularly known as the decimal numerical system. It adopts ten digits (0 – 9) as symbols of values and each digit in a number symbol carries a value corresponding to the position of the digit i.e., units, tens, hundreds, and so on. For example, in the decimal number “345,” the position of each digit corresponds to different powers of ten:

3 × 10² = 300

4 × 10¹ = 40

5 × 10⁰ = 5

Thus, “345” in decimal is simply 300 + 40 + 5.

Hexadecimal System (Base-16)
The hexadecimal system known also as the base-16 number system is widely in use in computing and digital electronics. It uses sixteen symbols: A hexadecimal number is any number between 0 and 15 inclusive; this is a base 16 number system using digits 0 through to 9 and the letters A through to F.

0–9 represent values from 0 to 9
A–F represent values from 10 to 15
Of particular interest in computer operation is the conversion of hexadecimal numbers since each hexadecimal digit in a number corresponds to four bits on the computer. For instance, the decimal number “15” is “F” in hexadecimal, while “255” is “FF.”

Decimal to Hex Conversion Formula

For those fascinated by the mathematical process of conversion, the hexadecimal equivalent of decimal numbers 𝐷 can be arrived at by dividing 𝐷 by powers of 16 and then obtaining the remainder at each stage. The general formula for the decimal-to-hex conversion of a given decimal number is:

Decimal to Hex converter

A decimal to hex converter tool saves time and effort in arriving at these results from these steps thus making the conversions accurate and easy.

How to convert Decimal to Hex

In this, you will first know its method how we convert decimal numbers to hexadecimal. In this case, you need to repeatedly divide the decimal number by 16 and note down the remainder, For the remainder you read its value then in reverse and give the hexadecimal representation.
We assign the decimal number to hexadecimal. Write the decimal number that you want to convert now. For instance, if we take the decimal number 315 here.
Here, we will divide 315 by 16 repeatedly.
315 ÷ 16 = 19 with a remainder of 11 (B in hexadecimal)
19 ÷ 16 = 1 with a remainder of 3
1 ÷ 16 = 0 with a remainder of 1
Here, you will read the remainder in reverse order.
When we read the remainder in reverse order 13B. Therefore, the decimal number 315 is equivalent to the hexadecimal number 13B.

Example: Convert Decimal 345 to Hexadecimal
345 ÷ 16 = 21, remainder = 9
21 ÷ 16 = 1, remainder = 5
1 ÷ 16 = 0, remainder = 1
Writing the remainders in reverse order gives 159 in hexadecimal. Thus, 345 (decimal) = 159 (hexadecimal).

Frequently Asked Question (FAQ)

Q: Writing in hexadecimal is useful, so why is it used so often in computing?
A: Computing uses hexadecimal because it provides an efficient way of representing binary code. Hexadecimal is more compact and thus easier to read than binary. and is; Hex digit corresponds to four bits, so when decoding values, it is easier to decode than binary.

Q: Is it possible to convert decimal fractions to hexadecimal?
A: Yes, it is possible to convert decimal fractions to hexadecimal, although it means using a slightly different approach, namely multiplying the fractional calculated decimal fraction by the Hexadecimal base, which is 16, till the degree of accuracy is satisfactory. Often, our converter deals only with integer conversions for simplicity, for our users’ convenience.

Q: I would also like to ask about the typical usage of the hexadecimal values.
A: Hexadecimal is used in programming where the values are expressed in hexadecimal form, in memory addressing, colors in HTML and CSS (where #FFFFFF is code for white), and in error codes in systems and hardware.

Q: What is the case with negative numbers in hexadecimal numbers?
A: Negative hexadecimal numbers are computed in the same way as negative decimal or negative binary numbers, with the only difference being that actual negative hex values are often prefixed with a minus sign (e.g., -1A3 ). Negative numbers in computer systems. Negative numbers may also be represented in two’s complement binary notation.

A Table for Decimal to Hex conversion

DecimalHexadecimal
11
22
33
44
55
66
77
88
99
10A
11B
12C
13D
14E
15F
1610
1711
1812
1913
2014
2115
2216
2317
2418
2519
261A
271B
281C
291D
301E
311F
3220
3321
3422
3523
3624
3725
3826
3927
4028
4129
422A
432B
442C
452D
462E
472F
4830
4931
5032
5133
5234
5335
5436
5537
5638
5739
583A
593B
603C
613D
623E
633F
6440
6541
6642
6743
6844
6945
7046
7147
7248
7349
744A
754B
764C
774D
784E
794F
8050
8151
8252
8353
8454
8555
8656
8757
8858
8959
905A
915B
925C
935D
945E
955F
9660
9761
9862
9963
10064
10165
10266
10367
10468
10569
1066A
1076B
1086C
1096D
1106E
1116F
11270
11371
11472
11573
11674
11775
11876
11977
12078
12179
1227A
1237B
1247C
1257D
1267E
1277F
12880
12981
13082
13183
13284
13385
13486
13587
13688
13789
1388A
1398B
1408C
1418D
1428E
1438F
14490
14591
14692
14793
14894
14995
15096
15197
15298
15399
1549A
1559B
1569C
1579D
1589E
1599F
160A0
161A1
162A2
163A3
164A4
165A5
166A6
167A7
168A8
169A9
170AA
171AB
172AC
173AD
174AE
175AF
176B0
177B1
178B2
179B3
180B4
181B5
182B6
183B7
184B8
185B9
186BA
187BB
188BC
189BD
190BE
191BF
192C0
193C1
194C2
195C3
196C4
197C5
198C6
199C7
200C8
201C9
202CA
203CB
204CC
205CD
206CE
207CF
208D0
209D1
210D2
211D3
212D4
213D5
214D6
215D7
216D8
217D9
218DA
219DB
220DC
221DD
222DE
223DF
224E0
225E1
226E2
227E3
228E4
229E5
230E6
231E7
232E8
233E9
234EA
235EB
236EC
237ED
238EE
239EF
240F0
241F1
242F2
243F3
244F4
245F5
246F6
247F7
248F8
249F9
250FA
251FB
252FC
253FD
254FE
255FF
256100
257101
258102
259103
260104
261105
262106
263107
264108
265109
26610A
26710B
26810C
26910D
27010E
27110F
272110
273111
274112
275113
276114
277115
278116
279117
280118
281119
28211A
28311B
28411C
28511D
28611E
28711F
288120
289121
290122
291123
292124
293125
294126
295127
296128
297129
29812A
29912B
30012C
30112D
30212E
30312F
304130
305131
306132
307133
308134
309135
310136
311137
312138
313139
31413A
31513B
31613C
31713D
31813E
31913F
320140
10003E8
20007D0
100002710
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