What is the binary representation for decimal 50?

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Study for the AAMI Certified Associate in Biomedical Technology Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the binary representation for decimal 50?

Explanation:
Binary representation expresses a decimal as a sum of powers of two, with each bit showing whether that power is included. For 50, the sum is 32 + 16 + 2. In an eight-bit form, that means the bits for 32 (2^5), 16 (2^4), and 2 (2^1) are 1, and the others are 0. Reading from the most significant bit to the least gives 0 0 1 1 0 0 1 0, which is 00110010. This is why this binary string correctly represents 50. The other options correspond to different totals (for example, 69, 90, and 201), not 50.

Binary representation expresses a decimal as a sum of powers of two, with each bit showing whether that power is included. For 50, the sum is 32 + 16 + 2. In an eight-bit form, that means the bits for 32 (2^5), 16 (2^4), and 2 (2^1) are 1, and the others are 0. Reading from the most significant bit to the least gives 0 0 1 1 0 0 1 0, which is 00110010. This is why this binary string correctly represents 50. The other options correspond to different totals (for example, 69, 90, and 201), not 50.

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