Question

Convert decimal to binary: (321)¹⁰ to (?)²​

Answer 1

S O L U T I O N:

Given Decimal Number,

>> (321)₁₀

We have to find the binary equivalent of the given number.

Conversion is given as follows:

$\dag\ \boxed{\begin{array}{c|c|c}\tt 2 & \tt 321&\tt\:\:\\ \tt2&\tt160&\tt1\\ \tt2&\tt80&\tt0\\ \tt2&\tt40&\tt0\\ \tt2&\tt20&\tt0\\ \tt2&\tt10&\tt0\\ \tt2&\tt5&\tt0\\ \tt2&\tt2&\tt1\\ \tt2&\tt1&\tt0\\ \tt2&\tt0&\tt1 \end{array}}$

On writing the remainders from bottom to top, we can find out the binary equivalent of the given number.

>> (321)₁₀ = (1010 0000 1)₂

So, the binary equivalent of the given number is - (1010 0000 1)₂

A N S W E R:

• (321)₁₀ = (1010 0000 1)₂

S T E P S:

• Divide the number by 2.
• Write the quotient and remainder and again divide the number by 2.
• Repeat the above process until the quotient is not 0.
• Write the remainders obtained from bottom to top.
• Result obtained is the binary equivalent of the given number.

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Answer 2

I hope this is helpful for you.