Question 1

What is a number base (radix)?

Accepted Answer

A number base defines how many digits are used. Decimal (base 10) uses 0–9. Binary (base 2) uses only 0 and 1. Octal (base 8) uses 0–7. Hexadecimal (base 16) uses 0–9 and A–F.

Question 2

How do I convert decimal to binary?

Accepted Answer

Repeatedly divide the decimal number by 2 and record each remainder. Read the remainders from bottom to top. Example: 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1 → binary = 1101.

Question 3

How do I convert hex to decimal?

Accepted Answer

Multiply each hex digit by 16 raised to its position power and sum the results. For example, 1A hex = (1 × 16¹) + (10 × 16⁰) = 16 + 10 = 26 in decimal.

Base / Radix Converter