Question 1

How do you convert decimal to binary?

Accepted Answer

Divide by 2 repeatedly, read remainders bottom-up. 13 = 1101 binary (13→6→3→1→0, remainders 1,0,1,1).

Question 2

Why is binary important?

Accepted Answer

Computers use binary internally (on/off states). All digital data is ultimately binary.

Question 3

Why do computers use binary?

Accepted Answer

Electronic circuits have two states: on/off, high/low voltage. Binary (0 and 1) maps directly to these states, making digital logic simpler and more reliable.

Question 4

Why is hexadecimal used in programming?

Accepted Answer

Hex is compact: each digit represents 4 binary bits. A byte (8 bits) is exactly 2 hex digits (00-FF), making memory addresses and color codes readable.

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