Convert and calculate with hexadecimal numbers. Includes color preview for hex color codes and conversions to all number systems.
Hexadecimal (base-16, using digits 0-9 and letters A-F) is used extensively in programming and computing specifically because it maps cleanly onto binary - each single hex digit represents exactly 4 binary digits (bits), making hex a much more compact and human-readable way to represent binary data than writing out long strings of 1s and 0s directly. This is exactly why memory addresses, color codes in web design (#FF5733), and low-level debugging output are almost always shown in hexadecimal rather than binary or decimal.
Web developers work with hex color codes constantly - a color like #FF0000 represents pure red, where each pair of hex digits (FF, 00, 00) represents the intensity of red, green, and blue respectively, ranging from 00 (none) to FF (maximum, equivalent to 255 in decimal).
Manual hex-to-decimal conversion requires multiplying each hex digit by increasing powers of 16 based on its position, which is significantly more error-prone to do by hand than decimal conversion, since it requires remembering that hex digits A through F represent decimal values 10 through 15 - a common source of manual calculation mistakes. Working out the next hex value after a given one, like what comes after A99, or converting a value like 0x1ED to decimal, both rely on this same positional place-value logic.
Hexadecimal (base 16) is widely used in programming and computing as a compact, human-readable way to represent binary data, since each single hex digit represents exactly four binary digits, making a long binary string far shorter and easier to read in hex form. This compactness is why hex shows up constantly in contexts like memory addresses, color codes in web design (like #FF5733), and low-level debugging output, where raw binary would be unwieldy to read and hex offers a practical middle ground between binary's precision and decimal's familiarity.
Hexadecimal uses sixteen distinct symbols — the digits 0 through 9, followed by the letters A through F to represent values 10 through 15 — which is the source of most confusion for people new to hex, since it requires remembering that letters represent numeric values beyond the familiar 0-9 range.
Web colors are commonly specified as six-digit hexadecimal codes, where each pair of digits represents the intensity of red, green, and blue light respectively, ranging from 00 (none) to FF (maximum) for each channel. Understanding hex color notation is a practical, everyday application of hexadecimal number conversion that web designers and developers use constantly, translating a visual color choice into the precise numeric code a browser or design tool requires.
Hexadecimal (base-16) uses digits 0-9 and letters A-F to represent values 0-15. It's widely used in computing because it's more compact than binary and easier to read. Each hex digit represents 4 binary digits (bits).
Hex color codes are 6-digit hex numbers representing RGB colors. The first two digits are red, middle two are green, last two are blue. For example, FF5733 means Red=FF (255), Green=57 (87), Blue=33 (51).
Valid hexadecimal characters are: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F (or lowercase a-f). Letters A-F represent values 10-15 respectively.
Multiply each hex digit by 16 raised to the power of its position (from right, starting at 0). For example, 2F = 2×16¹ + 15×16⁰ = 32 + 15 = 47 in decimal.
Hex is used for: memory addresses, color codes (web design), character encoding (ASCII/Unicode), debugging, representing binary data compactly, and in low-level programming for bit manipulation.
Each pair of hex digits maps cleanly to an 8-bit color channel value (0-255), making hex a compact and standard way to represent RGB color values in web design.
Each hex digit represents exactly 4 binary bits, which is why hex is a convenient shorthand for binary data.
It requires remembering that hex digits A through F represent decimal values 10 through 15, along with multiplying by increasing powers of 16 - both add room for manual error.
The hex number E8 equals 232 in decimal, which is 14 groups of 16 (224) plus a remainder of 8. Enter E8 above to see the full conversion breakdown.
Enter any hexadecimal or decimal number above and the calculator instantly shows the converted value along with the arithmetic steps used to verify accuracy.
The 3-digit shorthand #EEF expands to the 6-digit hex code #EEEEFF by duplicating each digit. Enter the value above to see hex conversions and calculations.
Enter two hexadecimal values above and choose an operation like addition or subtraction - the calculator converts, computes, and displays the result in hex and decimal.
