Question

1. Decimal to Binary
i. 345

Answer 1

$\textsf{\large{\underline{Answer}:}}$

• The binary equivalent of the decimal number (345)₁₀ is (1010 1100 1)₂

$\textsf{\large{\underline{Solution}:}}$

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\tt2&\tt345&\\ \tt2&\tt172&\tt1\\ \tt2&\tt86&\tt0\\ \tt2&\tt43&\tt0\\ \tt2&\tt21&\tt1\\ \tt2&\tt10&\tt1\\ \tt2&\tt5&\tt0\\ \tt2&\tt2&\tt1\\ \tt2&\tt1&\tt0\\ &\tt0&\tt1\end{array}}$

Now write the remainders obtained from bottom to top:

> (345)₁₀ = (1010 1100 1)₂ (Answer)

$\textsf{\large{\underline{Steps To Solve}:}}$

• Divide the number by 2.
• Write the quotient on the left and remainders obtained on the right.
• Repeat the above two processes until the quotient becomes 0.
• Now arrange the remainders obtained from bottom to top.
• Result obtained will be the binary equivalent of the given decimal number.