Question 1

How to convert binary to decimal?

Accepted Answer

Binary is a positional number system where each bit position represents a power of 2, reading right to left: 1, 2, 4, 8, 16, 32... Multiply each bit (0 or 1) by its positional power and sum the results. Example: 1101 = 1×8 + 1×4 + 0×2 + 1×1 = 8+4+0+1 = 13. A shortcut: a binary number made of n consecutive 1-bits always equals 2ⁿ minus 1, so 11111111 (8 ones) = 255.

Question 2

How to convert decimal to hexadecimal?

Accepted Answer

Use repeated division by 16. Divide the number by 16, record the remainder (10–15 are written as A–F), then divide the quotient again, repeating until it reaches 0. Read the remainders from bottom to top. Example: 764 ÷ 16 = 47 remainder 12 (C), 47 ÷ 16 = 2 remainder 15 (F), 2 ÷ 16 = 0 remainder 2. Reading bottom-up: 2FC.

Question 3

How to convert hexadecimal to binary?

Accepted Answer

Because 16 = 2⁴, each hex digit expands to exactly 4 binary bits (a nibble). Replace every hex digit with its 4-bit equivalent: 0=0000, 1=0001, 2=0010, ..., 9=1001, A=1010, B=1011, C=1100, D=1101, E=1110, F=1111. Example: 3E8 hex → 3=0011, E=1110, 8=1000 → 001111101000 binary.

Binary, Decimal, Hex & Octal Converter

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How to convert binary to decimal?

How to convert decimal to hexadecimal?

How to convert hexadecimal to binary?

What is binary (base 2) and where is it used?

What is hexadecimal (base 16) and where is it used?

What is octal (base 8) and where is it used?

Is there a maximum number size?