What is the decimal equivalent of the hexadecimal number BF9?

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PGCIL DT Electrical 22 Aug 2021 Official Paper (NR III)
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  1. 2802
  2. 3065
  3. 2048
  4. 1024

Answer (Detailed Solution Below)

Option 2 : 3065
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Detailed Solution

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We have,

Hexadecimal Number = BF9

Step 1: Count the digits in BF9, which in this case is 3 digits, and convert each digit to numbers.

BF9 = (11)(15)(9)

Step 2: Starting from the last number in Step 1, multiply the first number by (160 = 1), the second number by (161 = 16), and the third number by (162 = 256).

BF9 = (11)(15)(9) = (11 × 256) + (15 × 16) + (9 × 1) = 3065

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