Question 1

What number formats can be converted?

Accepted Answer

Integers in any base, Roman numerals, scientific notation, fractions, and percentages.

Question 2

How do you convert fractions between bases?

Accepted Answer

Multiply fractional part by base repeatedly. 0.625 decimal = 0.101 binary (0.625×2=1.25, 0.25×2=0.5, 0.5×2=1).

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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