The binary value 10101 corresponds to which decimal number_________________?
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Answer: D. 21
Explanation
The binary number 10101 converts to decimal by summing the powers of two for each active bit position. Calculating sixteen plus four plus one yields the exact decimal sum of twenty-one. This positional notation system forms the foundational basis for digital computer arithmetic and data processing. Binary digits represent values using powers of two starting from the rightmost bit as two to the zero. The rightmost bit represents one, the next represents two, then four, eight, and sixteen on the left. Converting between binary and decimal formats is an essential skill in digital electronics and computer science.
Microprocessors process digital instructions and memory addresses using binary encoded numerical values. Digital communication protocols transmit binary data streams across networks for electronic device communication. Computer programmers frequently convert binary values to decimal when debugging low-level hardware registers. Nineteen is incorrect because it does not correspond to the correct sum of powers of two for 10101. Twelve represents the binary value 1100 rather than the specified binary input sequence 10101. Twenty-seven corresponds to the binary number 11011 rather than the requested input sequence 10101.
- Subject
- Engineering
- Category
- Electrical Engineering
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- —
- Difficulty
- medium
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