Question

(52) from decimal to binary
please explain with equation​

Answer 1

Required Answer:-

Given Number:

• (52)₁₀

To Find:

• The binary equivalent of the given number.

Solution:

Conversion is given as follows:

$\dag\ \boxed{\begin{array}{c|c|c}\tt\underline{2}&\tt\underline{52}&\underline{\:\:\:}\\ \tt\underline{2}&\tt\underline{26}&\tt\underline{0}\\ \tt\underline{2}&\tt\underline{13}&\tt\underline{0}\\ \tt\underline{2}&\tt\underline{6}&\tt\underline{1}\\ \tt\underline{2}&\tt\underline{3}&\tt\underline{0}\\ \tt\underline{2}&\tt\underline{1}&\tt\underline{1}\\ &\tt0&\tt1\end{array}}$

Now, write the remainders obtained from bottom to top.

>> (52)₁₀ = (1101 00)₂  (Answer)

Answer:

• (52)₁₀ = (1101 00)₂

Steps To Convert:

1. Divide the number by 2.
2. Write the quotient and the remainder obtained.
3. Repeat the above two processes till the quotient is not zero.
4. Write the remainders obtained from bottom to top.
5. Result obtained is the binary equivalent of the number.

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