Hexadecimal to Decimal Converter
Convert hexadecimal values to decimal by entering a hexadecimal number and pressing convert.
Information on Number Conversion
A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.
Decimal Number System
Decimal number system is the most commonly used number system. It is a base 10 number system. It uses 10 digits from 0 to 9. The position of each digit in a decimal number denotes the power of 10. The rightmost digit is the ones place, the next digit to the left is the tens place, the next digit to the left is the hundreds place, and so on.
An example of a decimal number is
123410 = 1×103 + 2×102 + 3×101 + 4×100
Hexadecimal Number System
Hexadecimal number system is a base 16 number system. It uses 16 digits from 0 to 9 and A to F. The position of each digit in a hexadecimal number denotes the power of 16. The rightmost digit is the ones place, the next digit to the left is the sixteens place, the next digit to the left is the two hundred fifty-six place, and so on.
An example of a hexadecimal number is
123416 = 1×163 + 2×162 + 3×161 + 4×160
How to convert Hexadecimal to Decimal?
To convert a hexadecimal number to decimal, you can use the following steps:
Step 1: Write down the hexadecimal number.
Step 2: Write down the decimal equivalent of each hexadecimal digit.
Step 3: Multiply each decimal equivalent by 16 raised to the power of the position of the digit.
Step 4: Add the results from step 3 to get the decimal equivalent of the hexadecimal number.
Example 1: Convert 4D216 to (?)10
Step 1: Write down the hexadecimal number: 4D216
Step 2-3:
Hex | Number × 16 ^ i | Output | |
---|---|---|---|
4 | 4 × 162 | 1024 | |
D | 13 × 161 | 208 | |
2 | 2 × 160 | 2 | |
1024 + 208 + 2 = 1234 | |||
The decimal Representation of (4D2)16 is (1234)10 |
Example 2: Convert AB12C16 to (?)10
Step 1: Write down the hexadecimal number: AB12C16
Step 2-3:
Hex | Number × 16 ^ i | Output | |
---|---|---|---|
A | 10 × 164 | 65536 | |
B | 11 × 163 | 45056 | |
1 | 1 × 162 | 256 | |
2 | 2 × 161 | 32 | |
C | 12 × 160 | 12 | |
65536 + 45056 + 256 + 32 + 12 = 110892 | |||
The decimal Representation of (AB12C)16 is (110892)10 |
Hexadecimal to Decimal Conversion Chart
The following table shows the common decimal numbers equivalent hexadecimal numbers:
Decimal | Hexadecimal |
---|---|
0 | 0 |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
8 | 8 |
9 | 9 |
10 | A |
11 | B |
12 | C |
13 | D |
14 | E |
15 | F |
16 | 10 |
17 | 11 |
18 | 12 |
19 | 13 |
20 | 14 |
21 | 15 |
22 | 16 |
23 | 17 |
24 | 18 |
25 | 19 |
26 | 1A |
27 | 1B |
28 | 1C |
29 | 1D |
30 | 1E |
40 | 28 |
50 | 32 |
60 | 3C |
70 | 46 |
80 | 50 |
90 | 5A |
100 | 64 |
200 | C8 |
300 | 12C |
400 | 190 |
500 | 1F4 |
1000 | 3E8 |
5000 | 1388 |
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