Question 1 - Fill in the Blanks Questions (1 Mark each) - Chapter 2 Class 11 - Encoding Schemes and Number System

The decimal equivalent of E ₁₆ is _____________.

Answer:

E ₁₆ is a hexadecimal number.

To find the decimal equivalent of a hexadecimal number:

• Individual digits of the hexadecimal number should be multiplied by powers of 16 starting with the rightmost digit multiplied by 16 ⁰ , second last digit multiplied by 16 ¹ , third last digit multiplied by 16 ² and so on up to the leftmost digit. For digits after the decimal point , the leftmost digit should be multiplied by 16 ^-1 and the next digit by 16 ^-2 and so on up to the rightmost digit.

• For alphabets A to F, the corresponding codes should be multiplied with the respective power of 16.

Here,

• A = 10
• B = 11
• C = 12
• D = 13
• E = 14
• F = 15
•  

Therefore,

E ₁₆ = 14 x 16 ⁰ = 14 ₁₀

So, The decimal equivalent of E ₁₆ is 14 ₁₀