What is hexadecimal and why is it used?

Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15). It's widely used in programming and computing because each hex digit perfectly represents 4 bits, making it a more compact and readable representation of binary data.

How do I convert hexadecimal to decimal?

Each hex digit position represents a power of 16. Multiply each digit by 16 raised to its position power (starting from 0 on the right) and sum them. For example, hex 2F = (2×16¹) + (15×16⁰) = 32 + 15 = 47 in decimal. Remember that F=15 in hex.

How do I convert decimal to hexadecimal?

Repeatedly divide the decimal number by 16 and record the remainders, converting remainders 10-15 to A-F. Read the remainders from bottom to top. For example, 47 in decimal: 47÷16=2 r15(F), 2÷16=0 r2, giving hex 2F. This method works for any base conversion.

What are hexadecimal color codes?

Hex color codes are 6-digit hex numbers representing RGB colors in web design and graphics. The format is #RRGGBB, where each pair represents red, green, and blue intensity (00-FF). For example, #FF0000 is pure red (255,0,0), #00FF00 is green, and #0000FF is blue.

Why do memory addresses use hexadecimal?

Computer memory addresses are displayed in hex because it's more compact and readable than binary while maintaining a direct correspondence (4 bits per digit). A 32-bit address in binary would be 32 digits long, but only 8 hex digits, making it much easier for programmers to read and work with.