Question

Convert decimal no. (96)10 into binary no.
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Answer 1

Answer:

• The binary equivalent of (96)₁₀ is (1100 000)₂

Solution:

Lets convert decimal to binary –

$\boxed{\begin{array}{c|c|c}\tt2&\tt96&\\ \tt2&\tt48&\tt0\\ \tt2&\tt24&\tt0\\ \tt2&\tt12&\tt0\\ \tt2&\tt6&\tt0\\ \tt2&\tt3&\tt0\\ \tt2&\tt1&\tt1\\ \tt2&\tt0&\tt1\end{array}}$

Now, write the remainders obtained from bottom to top:

> (96)₁₀ = (1100 000)₂

Steps:

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