QQuestionInformation Technology
QuestionInformation Technology
Which of the following decimal numbers does the binary number 1110 represent?
A. 12
B. 13
C. 14
D. 15
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Answer
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Step 1:I'll solve this step-by-step using binary to decimal conversion:
Step 2:: Understand Binary Number Representation
- Positions are: $$2^{3}$$, $$2^{2}$$, $$2^{1}$$, $$2^{0}$$ from left to right
- The binary number is 1110 - In binary, each digit represents a power of 2, starting from the rightmost digit
Step 3:: Calculate Value of Each Digit
- Rightmost 0: $$0 \times 2^{0} = 0 \times 1 = 0
- Next 1: 1 \times 2^{2} = 1 \times 4 = 4
Step 4:: Sum the Values
8 + 4 + 2 + 0 = 14
Final Answer
C. 14
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