Hex 4004 = 16,388
Hexadecimal 4004 converted to decimal: 16,388. Free hex to decimal converter.
Hex 4004 = Decimal 16,388 = Binary 100000000000100 = Octal 40004.
How This Was Calculated
Hexadecimal to Decimal:Decimal = sum(digit x 16^position)
Example: 0xFF = (15 x 16^1) + (15 x 16^0) = 240 + 15 = 255
Decimal to Hexadecimal:
Repeatedly divide by 16 and collect remainders (0-15, where 10=A, 11=B, ..., 15=F).
Hexadecimal to Binary:
Each hex digit maps to 4 binary bits: 0=0000, 1=0001, ..., F=1111
Hexadecimal to Octal:
Convert to decimal first, then convert decimal to octal by dividing by 8.
Frequently Asked Questions
What is hexadecimal?
Hexadecimal (base-16) is a number system that uses 16 symbols: 0-9 and A-F. It is commonly used in computing because it is a compact way to represent binary data. Each hex digit represents exactly 4 binary bits.
Why do programmers use hexadecimal?
Hex is more compact than binary and easier for humans to read. For example, the binary value 11111111 is FF in hex. Memory addresses, color codes (HTML/CSS), and MAC addresses all use hexadecimal notation.
How do I convert hex to decimal manually?
Multiply each digit by 16 raised to its position power (starting from 0 on the right), then sum the results. For 0xFF: (15 x 16^1) + (15 x 16^0) = 240 + 15 = 255.
What is the largest hex value this converter supports?
The converter supports up to 32-bit values (8 hex digits), which covers the range 0x00000000 to 0xFFFFFFFF (0 to 4,294,967,295 in decimal). This is sufficient for most programming and networking tasks.