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Hexadecimal arithmetic and conversions with binary and octal alongside.
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Hex Calculator
Hexadecimal math and hex to decimal conversion
Digits 0-9 and A-F.
1A3F + 2B in hex
1A6A
= 6,762 in decimal
- Result (hex)
- 1A6A
- Result (decimal)
- 6,762
- Result (binary)
- 1101001101010
- Result (octal)
- 15152
How it was calculated
- 1A3F₁₆ = 6,719 in decimal
- 2B₁₆ = 43 in decimal
- 6,719 + 43 = 6,762
- 6,762 in hex = 1A6A₁₆
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How the hex calculator works
Hexadecimal (base 16) uses the digits 0 to 9 and the letters A to F for the values 10 to 15. Each position is worth 16 times the one to its right, so 1A3F = 1×4096 + 10×256 + 3×16 + 15 = 6719.
Programmers use hex because one hex digit is exactly four binary bits, which makes memory addresses, color codes (#FF8800) and byte values short and easy to read.
To convert decimal to hex, divide by 16 repeatedly and read the remainders from bottom to top. Division here gives a whole-number quotient and a remainder. Numbers of any length work exactly.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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