f: {0,1} → {0,1}4 f(x) is obtained by removing the second bit from x and placing the bit at the end of the string. For example, f(1011) = 1110. Select the correct value for f-¹ (0101). -1 0 1010 O 0101 O 0110 O 0011 MacBook Pro

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Discrete Math
**Function Description:**

\( f : \{0,1\}^4 \rightarrow \{0,1\}^4 \)

The function \( f(x) \) is defined by removing the second bit from \( x \) and placing that bit at the end of the string. 

For example:
- Input: \( f(1011) \)
- Output: 1110

**Problem Statement:**

Select the correct value for \( f^{-1}(0101) \).

**Options:**

- 1010
- 0101
- 0110
- 0011
Transcribed Image Text:**Function Description:** \( f : \{0,1\}^4 \rightarrow \{0,1\}^4 \) The function \( f(x) \) is defined by removing the second bit from \( x \) and placing that bit at the end of the string. For example: - Input: \( f(1011) \) - Output: 1110 **Problem Statement:** Select the correct value for \( f^{-1}(0101) \). **Options:** - 1010 - 0101 - 0110 - 0011
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