MCQ
Q.
Conversion of hexadecimal number $(1D7F)_{16}$ to a decimal number is
Correct Answer: A
The correct answer is The decimal equivalent of the hexadecimal number $(1D7F)_{16}$ is $7551_{10}$.
🔑 Key Points
- To convert a hexadecimal number to decimal, we need to decompose the hexadecimal number into its place values
- The place values for hexadecimal numbers are powers of $16$, starting from $16^0$ for the rightmost digit
🧮 Step-by-Step Solution
To convert $(1D7F)_{16}$ to decimal, calculate: $1 \times 16^3 + 13 \times 16^2 + 7 \times 16^1 + 15 \times 16^0 = 1 \times 4096 + 13 \times 256 + 7 \times 16 + 15 \times 1 = 4096 + 3328 + 112 + 15 = 7551$
📄 Additional Information
- Understanding the relationship between hexadecimal and decimal number systems is crucial for computer science and programming applications