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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete Math

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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