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Which of the following statements is true about the Number System?
Question



Which of the following statements is true about the Number System?

A.

The binary equivalent of the decimal number 57.625 is 111000.101.

B.

C.

D.


Correct option is C

This statement is true as the binary numbers (1011)₂ and (1001)₂ are converted to their decimal equivalents, added, and the result is verified in decimal form as 20.
Information Booster
1. Binary to Decimal Conversion:

2. Addition: Decimal equivalent of (1011)₂ is 11 and (1001)₂ is 9. 11 + 9 = 20, which matches the statement.
3. Verification:
· The binary addition of (1011)₂ and (1001)₂:
1011
+ 1001
-----------
10100 (binary for 20₁₀)
Additional Knowledge
· The binary equivalent of the decimal number 57.625 is 111001.101, not 111000.101, making option (a) incorrect.
· The base-6 number (145)₆ equals 59₁₀, not 75₁₀, making option (b) incorrect.
· The base-5 number (220)₅ equals 70₁₀, not 65₁₀, making option (d) incorrect.

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