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:

HexNumber × 16 ^ iOutput
44 × 1621024
D13 × 161208
22 × 1602
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:

HexNumber × 16 ^ iOutput
A10 × 16465536
B11 × 16345056
11 × 162256
22 × 16132
C12 × 16012
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:

DecimalHexadecimal
00
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
4028
5032
603C
7046
8050
905A
10064
200C8
30012C
400190
5001F4
10003E8
50001388

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