QuestionMay 29, 2025

The world population is over 7 billion. Which declaration uses the fewest bits while guaranteeing that worldPopulation can be assigned the value 7 billion without error? byte worldPopulation; short worldPopulation; int worldPopulation; long worldPopulation;

The world population is over 7 billion. Which declaration uses the fewest bits while guaranteeing that worldPopulation can be assigned the value 7 billion without error? byte worldPopulation; short worldPopulation; int worldPopulation; long worldPopulation;
The world population is over 7 billion. Which declaration uses the fewest bits while guaranteeing that worldPopulation can be assigned the value 7 billion without error? byte worldPopulation; short worldPopulation; int worldPopulation; long worldPopulation;

Solution
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Answer

long worldPopulation; Explanation 1. Determine the bit requirement for 7 billion 7 billion is 7 \times 10^9. Convert to binary: 7,000,000,000 requires more than 32 bits (since 2^{31} = 2,147,483,648 and 2^{32} = 4,294,967,296). 2. Select appropriate data type A `long` can store values up to 2^{63} - 1, which is sufficient for 7 billion. It uses 64 bits.

Explanation

1. Determine the bit requirement for 7 billion<br /> 7 billion is $7 \times 10^9$. Convert to binary: $7,000,000,000$ requires more than 32 bits (since $2^{31} = 2,147,483,648$ and $2^{32} = 4,294,967,296$).<br />2. Select appropriate data type<br /> A `long` can store values up to $2^{63} - 1$, which is sufficient for 7 billion. It uses 64 bits.
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