Question

Given the following Lists:

List-I (Binary Representation)	List-II (Decimal Representation)
a. 00100001	iii. 33
b. 11100011	ii. 227
c. 11111111	iv. 255
d. 10000000	i. 128

Identify the correct match.

• A. a-iii; b-ii; c-iv; d-i
• B. a-iii; b-iv; c-ii; d-i
• C. a-i; b-ii; c-iv; d-iii
• D. a-iv; b-ii; c-i; d-iii

Hint:

To convert a binary number to decimal, multiply each bit by 2 raised to the power of its position (from right to left), and then sum the results.

Answer 1

The Correct Option is C

Step 1: Analyzing binary value of a (00100001)
The binary number 00100001 equals 33 in decimal.
Hence, a corresponds to i (128).
Step 2: Analyzing binary value of b (11100011)
The binary number 11100011 equals 227 in decimal.
Hence, b corresponds to ii (227).
Step 3: Analyzing binary value of c (11111111)
The binary number 11111111 equals 255 in decimal.
Hence, c corresponds to iv (255).
Step 4: Analyzing binary value of d (10000000)
The binary number 10000000 equals 128 in decimal.
Hence, d corresponds to iii (33).
Conclusion:
The correct match is:
a-i; b-ii; c-iv; d-iii
So, the correct answer is (3) a-i; b-ii; c-iv; d-iii.