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What do you mean by Hex number?

A Hex number is a short form for hexadecimal, expressed in the hexadecimal positional numeral system with a base of 16. The sixteen symbols are the numbers from 0 to 9, and the letters A, B, C, D, E, and F denote values from 0 to 15. Hex numbers have signed just like decimal ones. E.g., -1e is equal to -30 in decimal. Also, 10 in decimal is A in hex, 100 in decimal is 64 in hex, and 1000 in decimal is 3E8 in hex.

Where are hex numerals used?

Computer system designers, software engineers, and programmers use hex numerals in computing. They all represent hex numerals as binary systems. Under this calculator, you can perform arithmetic operations such as addition, subtraction, multiplication, and division. 
Daily, an average person would come across hex numbers when browsing the web since special characters a hex numbers in website addresses. Example: %20 stands for space (blank). Many websites, particularly in HTML, use their hexadecimal numerical character reference. Example: the Unicode for a single quotation mark.

Decimal             Hex      Binary
1                          1           1
2                          2          10
3                          3          11 
5                          5          101
10                       A          1010
11                       B          1011
12                       C          1100
13                       D          1101
14                       E           1110
15                     F                1111
50                    32               110010 
63                   3F               111111
100                 64               1100100
1000              3E8            1111101000 
10000            2710          10011100010000

Do arithmetic operations work with hexadecimal numbers?

In a hexadecimal calculator, you can perform four basic arithmetic operations on hex numbers addition, subtraction, multiplication, and division. It doubles as a hexadecimal addition calculator, a hexadecimal subtraction calculator, etc. Hexadecimal calculations prefer a table for smaller numbers and a base 16 calculator for larger ones. In the same way, subtraction works as any number system, except borrowing a number that you need to borrow a group of 1610 instead of 1016 with decimals.

Example for arithmetic calculation!

Add 416 and F16, which results in 316, and a carry of 116 (192 = 161 + 3), which prepend to 316 to get the results 1316.
For complex addition, the hex numbers 3F16 and 6416. 

• Add 416 and F16, which results in 1316, which is 316, and carry 116 over to the left.
• Add 316 and 616, then add 116 from the carryover resulting in A16
• Write the outcome of the above steps next to each other to get the result in A16