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