Technology & Computing calculator
Hexadecimal Calculator
Convert hexadecimal, decimal, binary, and octal values in one place and solve hex arithmetic with clear step-by-step results.
Result
Hexadecimal calculator results
Your results will appear here
Enter your values and click Calculate to see the result.
Main result
Hexadecimal uses base 16 digits 0-9 and A-F. Fractional conversions may be rounded when the expansion repeats.
Calculator overview
Quick Hexadecimal Calculator Overview
Use this hexadecimal calculator to convert between hex, decimal, binary, and octal or perform base-aware arithmetic. It supports prefixes, fractional values, equivalent outputs, and step-by-step conversion work.
Enter a value or operation to calculate conversions and hexadecimal arithmetic results.
Guide
Hexadecimal Calculator Guide
Use this guide to understand hex, decimal, binary, and octal conversion, base-16 arithmetic, fractional output, and the step-by-step work shown by the calculator.
What This Calculator Does
This hexadecimal calculator converts values between hexadecimal, decimal, binary, and octal. It also performs hexadecimal arithmetic, including addition, subtraction, multiplication, and division.
The calculator is designed for the common jobs people expect from a hex decimal calculator or calculator hex dec oct bin workflow, while keeping the page focused and easy to scan.
Formula
Hexadecimal is a base-16 number system. Each digit is multiplied by a power of 16 according to its position. Digits after the radix point use negative powers of 16.
Integer positional form: value = sum of digit x 16^position
Fractional extension: digits after the point use 16^-1, 16^-2, 16^-3, and so on.
Binary shortcut: 1 hex digit = 4 binary bits.
Decimal to hex conversion uses repeated division by 16 for the integer part. Decimal fractions use repeated multiplication by 16 until the fraction ends or the selected precision is reached.
Example Calculation
To convert 2F hex to decimal, expand it as 2 x 16^1 + 15 x 16^0 = 32 + 15 = 47. The same value in binary is 0010 1111 because 2 maps to 0010 and F maps to 1111.
To convert 101111 binary to hex, group bits from the right: 0010 1111. The groups 0010 and 1111 become 2 and F, so the hex result is 2F.
To add A3 + 1F, convert as a check: A3 is 163 and 1F is 31. The sum is 194 decimal, which is C2 in hexadecimal.
How to Use
- 1Choose a mode
Use Conversion for one value or Arithmetic for two values and an operator.
- 2Enter value(s)
Use values such as 2F, 0x2F, 101111, 47, or A.8.
- 3Select the base
Choose hexadecimal, decimal, binary, or octal as the source or working base.
- 4Choose precision
Precision controls how many fractional places are displayed when a conversion repeats.
- 5Click Calculate
Review the main result, equivalent values, and step-by-step conversion or arithmetic work.
Tips / Notes
- Hex digits use 0-9 and A-F.
- Binary output is easier to read in 4-bit groups.
- Some decimal fractions do not terminate cleanly in hexadecimal, and some base fractions do not terminate cleanly in decimal.
- Rounded output is labeled when a fractional expansion continues beyond the selected precision.
- Uppercase hex output usually improves readability, especially in programming and debugging contexts.
Common Uses of Hexadecimal
Hexadecimal is common in programming, memory addresses, color codes, byte-level data, checksums, and compact binary-friendly display. Because one hex digit represents four binary bits, it is much easier to scan than a long raw binary string.
FAQ
Frequently Asked Questions
Clear answers about hexadecimal conversion, binary grouping, decimal points, and hex arithmetic with steps.
What does this hexadecimal calculator do?
It converts values between hexadecimal, decimal, binary, and octal, and it also solves base-style arithmetic with step-by-step output.
How do I convert binary to hexadecimal?
Choose Conversion mode, enter the binary value, select Binary as the source base, and click Calculate. The calculator groups binary digits into 4-bit sets and maps each group to one hex digit.
How do I convert decimal to hexadecimal with steps?
Enter the decimal value and select Decimal as the source base. The steps show repeated division by 16 for the integer part and repeated multiplication by 16 for any fractional part.
Can this calculator do hexadecimal addition, subtraction, multiplication, and division?
Yes. Arithmetic mode supports addition, subtraction, multiplication, and division in hexadecimal by default, with equivalent decimal, binary, and octal results.
Does this hexadecimal calculator support decimal points or fractional values?
Yes. It supports fractional values such as A.8, 47.625, or 101.01. Some converted fractions repeat, so the displayed result may be rounded to the selected precision.
Is this the same as a Casio or TI hexadecimal calculator?
No. It is not a replica of a Casio or TI model. It is an online hexadecimal calculator for the same common jobs: base conversion, hex arithmetic, and step-by-step checking.
Why is each hexadecimal digit equal to 4 binary bits?
One hexadecimal digit has 16 possible values, and 4 binary bits also have 16 possible values. That is why hex and binary convert cleanly in 4-bit groups.