Convert the decimal number $27$ to its binary equivalent.

Convert the binary number ${\left(10011001\right)}_2$ to its decimal equivalent.

Find the binary equivalent of ${\left(363\right)}_{10}$.

Find the binary addition of ${\left(101010\right)}_2$ and ${\left(010101\right)}_2$.

Find the binary subtraction of ${\left(101010\right)}_2$ and ${\left(010101\right)}_2$.

Write the truth table for circuits shown in the figure consisting of NOR gate and identify the logic operation(OR, AND, NOT) which this circuit is performing.

What do you understand by the logic gate? Discuss, how is an OR gate is realized from its electronic circuit. Give its circuit symbol and truth table.

Discuss, how is an AND gate realized from its electronic circuit. Give its circuit symbol and truth table.

Discuss, how is a NOT gate is realized from its electronic circuit. Give its circuit symbol and truth table.