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1.  
0.1101₂ in decimal is:

Correct Answer: B [0.8125]

Explanation:

0.5 + 0.25 + 0.0625 = 0.8125.

2.  
Decimal 0.6875 in binary is:

Correct Answer: C [0.1011]

Explanation:

×2 steps give 1, 0, 1, 1 → 0.1011.

3.  
Using 8-bit 2's complement, 11110110 represents which decimal number?

Correct Answer: E [-10]

Explanation:

Sign bit 1 → negative; 2's complement of 11110110 = 00001010 = 10 → −10.

4.  
In 8-bit 2's complement arithmetic, 35 − 58 gives the bit pattern:

Correct Answer: A [11101001]

Explanation:

35 − 58 = −23; 2's complement of 00010111 = 11101001.

5.  
The even parity bit for the 7-bit data 1101101 is:

Correct Answer: D [1]

Explanation:

Five 1s (odd) → parity bit 1 to make the total even.

6.  
Reverse question: a number in some base b is written 121 and equals decimal 49. Find b.

Correct Answer: B [6]

Explanation:

b² + 2b + 1 = (b + 1)² = 49 → b + 1 = 7 → b = 6.

7.  
Trick Spotter: to convert 11011100101₂ to hexadecimal, the fastest correct method is:

Correct Answer: B [Group bits in 4s from the right]

Explanation:

0110 1110 0101 → 6E5₁₆ in one step.

8.  
Spot My Mistake: "BCD of 93 = binary of 93 = 1011101." What is wrong?

Correct Answer: B [BCD codes each digit separately: 1001 0011]

Explanation:

9 = 1001, 3 = 0011 → 1001 0011; binary 1011101 is a different code.

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