Which of the following is not equivalent to the others?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $25.99Unlock all

Enhance your programming skills with the RECF Programming Test. Features flashcards and multiple choice questions with hints and explanations. Prepare for success!

Multiple Choice

Which of the following is not equivalent to the others?

Explanation:
Understanding how numbers are written in different bases helps you compare representations. When you convert to a common value, you can see whether different notations denote the same amount. The binary form 1000000000 is 1 followed by nine zeros, which equals 2^9 = 512. The decimal 512 is, by definition, 512. The octal form 0800 uses the powers of eight, and its nonzero part contributes 8 × 8^2 = 512, so it also represents 512. The hex form 2000, however, is 2 × 16^3 = 2 × 4096 = 8192, which is not 512. Therefore hex 2000 is not equivalent to the others.

Understanding how numbers are written in different bases helps you compare representations. When you convert to a common value, you can see whether different notations denote the same amount.

The binary form 1000000000 is 1 followed by nine zeros, which equals 2^9 = 512. The decimal 512 is, by definition, 512. The octal form 0800 uses the powers of eight, and its nonzero part contributes 8 × 8^2 = 512, so it also represents 512. The hex form 2000, however, is 2 × 16^3 = 2 × 4096 = 8192, which is not 512. Therefore hex 2000 is not equivalent to the others.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy