The number of bit strings of length 8,... - Solved | MCA Prep

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Question 98

Computer Awareness Number representations Easy

The number of bit strings of length 8, that start with the bit 0 or end with the bits 11 is

(A) 132

(B) 180

(C) 256

(D) 160

✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Use inclusion–exclusion.

Start with 0: the other 7 bits are free, giving \(2^7 = 128\).
End with 11: the other 6 bits are free, giving \(2^6 = 64\).
Both (start with 0 and end with 11): 5 free bits, giving \(2^5 = 32\).

Total = \(128 + 64 - 32 = 160\)

Answer: (D) 160

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