Question

number base how do i convert 5 base 10 to a binary number

Answer 1

Answer:

• The binary equivalent of the decimal number (5)₁₀ is (101)₂

Solution:

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\rm2&\rm5&\\ \rm2&\rm2&\rm1\\ \rm2&\rm1&\rm0\\ &\rm0&\rm1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (5)₁₀ = (101)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.