What is the binary representation for decimal 90?

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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 90?

Explanation:
Decimal to binary conversion works by breaking the number into powers of two and marking the corresponding bit as 1. Break 90 down into powers of two: 64 + 16 + 8 + 2. In an 8-bit binary representation, you set bits for those powers to 1 and all others to 0, from the 128 place down to the 1 place: 0 (128), 1 (64), 0 (32), 1 (16), 1 (8), 0 (4), 1 (2), 0 (1). So you get 01011010. This exactly represents 90. The other patterns correspond to different sums: for example, 01000101 equals 69, 00110010 equals 50, and 11001001 equals 201, which show they don’t match 90.

Decimal to binary conversion works by breaking the number into powers of two and marking the corresponding bit as 1. Break 90 down into powers of two: 64 + 16 + 8 + 2. In an 8-bit binary representation, you set bits for those powers to 1 and all others to 0, from the 128 place down to the 1 place: 0 (128), 1 (64), 0 (32), 1 (16), 1 (8), 0 (4), 1 (2), 0 (1). So you get 01011010. This exactly represents 90. The other patterns correspond to different sums: for example, 01000101 equals 69, 00110010 equals 50, and 11001001 equals 201, which show they don’t match 90.

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