Word Count : 690

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Let's solve both parts numerically and manually as requested. --- ## Part (a): Poker Test ### Given sequence: ``` 1001101000010000101111011 01110100101101100100110 ``` First, write the full sequence without spaces: ``` 100110100001000010111101101110100101101100100110 ``` ### Step 1: Break into groups of 4 bits (quadruples) Total number of bits = 52 We need non-overlapping groups of 4 bits → total groups = ⌊52 / 4⌋ = 13 Split into: 1. 1001 2. 1010 3. 0001 4. 0000 5. 1011 6. 1101 7. 1011 8. 1010 9. 0101 10. 1011 11. 0010 12. 0110 13. 0110 ### Step 2: Count frequency of each distinct 4-bit group There are $2^4 = 16$ possible 4-bit combinations (0000 to 1111). Now, count frequencies: | 4-bit Group | Frequency | | ----------- | --------- | | 0000 | 1 | | 0001 | 1 | | _________ ______ ___ ___ ___ _____ _______.
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