Question 1

How do you convert decimal to binary?

Accepted Answer

Divide the number by 2 repeatedly and record the remainders from bottom to top. For example, 13 in binary is 1101.

Question 2

What is hexadecimal used for?

Accepted Answer

Hexadecimal (base 16) is commonly used in computing to represent colors (#FF0000), memory addresses, and byte values compactly.

Question 3

Why is binary important in computing?

Accepted Answer

Computers operate with transistors that have two states: on (1) and off (0). All data—text, images, audio—is ultimately represented as sequences of binary digits (bits). Understanding binary helps with networking (IP addresses), permissions (chmod), and low-level programming.

Question 4

What is the relationship between octal, hexadecimal, and binary?

Accepted Answer

Each octal digit maps to exactly 3 binary digits (e.g., 7₈ = 111₂), and each hexadecimal digit maps to exactly 4 binary digits (e.g., F₁₆ = 1111₂). This makes them convenient shorthands for binary: a 24-bit color value like 111111110000000000000000₂ is simply FF0000₁₆.

Decimal to Octal

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