Question

The following hexadecimal number (1E.43)16 is equivalent toWhich of these sets of logic gates are known as universal gates?​

Answer 1

Note: Find the decimal number of the given hexadecimal number.

Given,

The given hexadecimal number$\[ = {\left( {1{\rm{E}}.43} \right)_{16}}\]$

Solution,

Therefore, the decimal form of the number is

$\[\begin{array}{l} = {\left( {1{\rm{E}}.43} \right)_{16}}\\ = {\left[ {\left( {1 \times {{16}^1}} \right) + \left( {14 \times {{16}^0}} \right) + \left( {4 \times {{16}^{ - 1}}} \right) + \left( {3 \times {{16}^{ - 2}}} \right)} \right]_{10}}\\ = {\left( {16 + 14 + 4 \times \frac{1}{{16}} + 3 \times \frac{1}{{256}}} \right)_{10}}\\ = {\left( {30.2617} \right)_{10}}\end{array}\]$

Hence, the decimal form of the number is $\[{\left( {30.2617} \right)_{10}}.\]$