Hexadecimal | MCQs

Explanation

To convert the hexadecimal number 1D7F₁₆ to a decimal number, we can break it down as follows:

• 1 in hexadecimal = 1 × (16^3) = 1 × 4096 = 4096
• D in hexadecimal = 13 × (16^2) = 13 × 256 = 3328
• 7 in hexadecimal = 7 × (16^1) = 7 × 16 = 112
• F in hexadecimal = 15 × (16^0) = 15 × 1 = 15

Now, sum these values:

4096 + 3328 + 112 + 15 = 7551

So, the decimal equivalent of 1D7F₁₆ is 7551.

Explanation

1. Convert each hexadecimal digit to its 4-bit binary equivalent:

   • 1 → 0001
   • A (10 in decimal) → 1010
   • 3 → 0011

2. Combine the binary groups:
   1A3 (hex) = 0001 1010 0011 (binary)

Answer: 1A3 (hex) = 110100011 (binary)

Explanation

Hexadecimal is the name of the numbering system that is base 16