Question

convert 2401 base 10 to binary

Answer 1

Answer:

• The binary equivalent of the decimal number (2401)₁₀ is (1001 0110 0001)₂

Solution:

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\rm2&\rm 2401&\\ \rm2&\rm1200&\rm1\\ \rm2&\rm600&\rm0\\ \rm2&\rm 300&\rm0\\ \rm2&\rm150&\rm0\\ \rm2&\rm75&\rm0\\ \rm2&\rm37&\rm1\\ \rm2&\rm18&\rm1\\ \rm2&\rm9&\rm0\\ \rm2&\rm4&\rm1\\ \rm2&\rm2&\rm0\\ \rm2&\rm1&\rm0\\ &\rm0&\rm1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (2401)₁₀ = (1001 0110 0001)₂    (Answer)

Steps To Solve:

• Divide the number by 2.
• Write the quotient and the remainder and again divide the number by 2.
• 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.

Answer 2

Solution :

Conversion is given as follows:

$\begin{gathered}\boxed{\begin{array}{c|c|c}\rm2&\rm 2401&\\ \rm2&\rm1200&\rm1\\\rm2&\rm600&\rm0\\ \rm2&\rm 300&\rm0\\ \rm2&\rm150&\rm0\\ \rm2&\rm75&\rm0\\ \rm2&\rm37&\rm1\\ \rm2&\rm18&\rm1\\ \rm2&\rm9&\rm0\\ \rm2&\rm4&\rm1\\ \rm2&\rm2&\rm0\\ \rm2&\rm1&\rm0\\ &\rm0&\rm1\end{array}}\end{gathered}$

Now arrange the remainders obtained from bottom to top:

> (2401)₁₀ = (1001 0110 0001)₂ (Answer)