Which decimal value is represented by the binary 01000101?

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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

Which decimal value is represented by the binary 01000101?

Explanation:
Converting binary to decimal is about summing the powers of two where the bit is 1. For an 8-bit value, the weights from left to right are 128, 64, 32, 16, 8, 4, 2, and 1. Apply these weights to the bits in 01000101: 0·128 + 1·64 + 0·32 + 0·16 + 0·8 + 1·4 + 0·2 + 1·1 = 64 + 4 + 1 = 69. So, the decimal value is 69.

Converting binary to decimal is about summing the powers of two where the bit is 1. For an 8-bit value, the weights from left to right are 128, 64, 32, 16, 8, 4, 2, and 1.

Apply these weights to the bits in 01000101:

0·128 + 1·64 + 0·32 + 0·16 + 0·8 + 1·4 + 0·2 + 1·1 = 64 + 4 + 1 = 69.

So, the decimal value is 69.

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