Question 1

What is a number base (radix)?

Accepted Answer

A number base (radix) is the number of unique digits used to represent values in a positional numeral system. For example, decimal uses 10 digits (0-9), binary uses 2 digits (0 and 1), and hexadecimal uses 16 symbols (0-9 and A-F). Computers internally use binary, and octal or hexadecimal are often used for more human-readable representations.

Question 2

Where is hexadecimal commonly used?

Accepted Answer

Hexadecimal is widely used in programming and web design. Common examples include CSS color codes (#FF0000 for red), memory addresses, MAC addresses, and UUIDs. Since 4 binary digits correspond to 1 hexadecimal digit, it is ideal for representing binary data in a human-readable format.

Question 3

How do you convert binary to decimal?

Accepted Answer

To convert binary to decimal, multiply each digit by the corresponding power of 2 and sum the results. For example, binary 1011 equals 1x2^0 + 1x2^1 + 0x2^2 + 1x2^3 = 1 + 2 + 0 + 8 = 11 in decimal. This tool converts automatically in real time, so no manual calculation is needed.

Question 4

What is octal used for?

Accepted Answer

Octal is commonly used for Linux/Unix file permissions. For example, the chmod command uses octal values to set access rights (e.g., 755 means rwxr-xr-x). In C and Python, octal literals are written with a 0o prefix (e.g., 0o777).

Question 5

Is the entered data sent to a server?

Accepted Answer

No, all conversion processing is done entirely within your browser. Your input data is never sent to any external server.

2^n	Decimal	Hex	Common Usage
2^0	1	1	-
2^1	2	2	-
2^2	4	4	-
2^3	8	8	-
2^4	16	10	1 hex digit
2^7	128	80	ASCII range
2^8	256	100	1 byte
2^10	1,024	400	1 KB
2^16	65,536	10000	Max port number
2^20	1,048,576	100000	1 MB
2^24	16,777,216	1000000	RGB color
2^32	4,294,967,296	100000000	IPv4 address space

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