Question

(125)10 = (?)2 in computer​

Answer 1

(125)₁₀ = (1111101)₂

Given :

(125)₁₀ = (?)₂

To find :

The number in ?

Solution :

Step 1 of 2 :

Divide 125 by 2

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:125\: \: \: .... .. \: \: 1}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:62 \: \: \: .... .. \: \: 0}} \\ {\underline{\sf{2}}}&\underline{\sf{\:31 \: \: \: .... .. \: \: 1}} \\\underline{\sf{2}}&\underline{\sf{15\: \: \: .... .. \: \: 1}}\\\underline{\sf{2}}&\underline{\sf{7\: \: \: .... .. \: \: 1}} \\ {\underline{\sf{2}}}&\underline{\sf{3\: \: \: .... .. \: \: 1}}\\\underline{\sf{}}&{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

Step 2 of 2 :

Find binary equivalent of 125

Writing the remainder from bottom to top we get the binary equivalent of 125 as

(125)₁₀ = (1111101)₂

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