Question 71

Computer Awareness Number representations Easy

Given below are two statements:

Statement I: 011010 is 2's complement representation of -37.
Statement II: \( 211_{(8)} \) is octal representation of 137 .

In the light of the above statements, choose the most appropriate answer from the options given below:

(A) Both Statement I and Statement II are true
(B) Both Statement I and Statement II are false
(C) Statement I is true but Statement II is false
(D) Statement I is false Statement II are true
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Statement I: 011010 has MSB 0, so it is a positive number: \(16 + 8 + 2 = +26\). Also, −37 cannot be stored in 6-bit 2's complement at all, because the range is −32 to +31. Statement I is false.

Statement II: \(211_8 = 2 \times 64 + 1 \times 8 + 1 = 137\). Statement II is true.

Answer: (D) Statement I is false, Statement II is true

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