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Hexadecimal Calculator

Reviewed by BS Román Ramos

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Result

  • Hexadecimal: 16
  • Decimal: 10
  • Binary: 2

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Table of Contents

How to Use the Hexadecimal Calculator

You can easily perform hexadecimal operations using our tool. Just follow these steps:

  1. Enter the first hexadecimal number into the first field.
  2. Select the desired operation (addition, subtraction, multiplication, or division).
  3. Enter the second hexadecimal number.
  4. Finally, click on "Calculate".

If you want to learn how to manually perform hexadecimal operations, continue reading this article.

Converting Hexadecimal to Decimal and Vice Versa

The hexadecimal system is a positional numeral system with base 16.

To represent each digit, up to 16 different symbols are used. These symbols consist of the traditional decimal system digits (0 to 9) and the first six letters of the alphabet (A, B, C, D, E, F).

For conversion, it is advisable to use the following hexadecimal table:

DecimalHexadecimalBinary

0

0

0

1

1

1

2

2

10

3

3

11

4

4

100

5

5

101

6

6

110

7

7

111

8

8

1000

9

9

1001

10

A

1010

11

B

1011

12

C

1100

13

D

1101

14

E

1110

15

F

1111

16

10

10000

17

11

10001

18

12

10010

19

13

10011

20

14

10100

21

15

10101

22

16

10110

23

17

10111

24

18

11000

25

19

11001

26

1A

11010

27

1B

11011

28

1C

11100

29

1D

11101

30

1E

11110

31

1F

11111

To convert from hexadecimal to decimal, use the following formula:

Decimal Number = (Number of Digits - 1) * 16 ^ n + (Digit * 16 ^ (n - 1)) + ... + (Digit * 16 ^ 0)

To convert from decimal to hexadecimal, use the reverse operation. Start by dividing the decimal number by 16. The remainders, starting from the last one, are your hexadecimal digits.

Arithmetic Operations in Hexadecimal

The arithmetic operations (addition, subtraction, multiplication, and division) in hexadecimal numbers are similar to those in the decimal system, but a hexadecimal table is used to represent the results.

Note that hexadecimal numbers in addition and subtraction can be treated like decimal numbers by converting them to decimal, performing the operation, and then converting the result back to hexadecimal.

BS Román Ramos
Bachelor of Mathematics and Master in Operations Research from UCV.
Román Ramos holds a Bachelor's degree in Mathematics from the Central University of ... Read more »

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