Question

(f) What is the binary number of decimal number 980? give full answer
whole question is above​

Answer 1

$\texttt{\textsf{\large{\underline{Answer}:}}}$

• The binary equivalent of (980)₁₀ is (1111 0101 00)₂

$\texttt{\textsf{\large{\underline{Solution}:}}}$

Conversion is given as follows -

$\boxed{\begin{array}{c|c|c}\tt2&\tt980&\\ \tt2&\tt490&\tt0\\ \tt2&\tt245&\tt0\\ \tt2&\tt122&\tt1\\ \tt2&\tt61&\tt0\\ \tt2&\tt30&\tt1\\ \tt2&\tt15&\tt0\\ \tt2&\tt7&\tt1\\ \tt2&\tt3&\tt1\\ \tt2&\tt1&\tt1\\ &\tt0&\tt1\end{array}}$

Now, arrange the remainders obtained from bottom to top.

> (980)₁₀ = (1111 0101 00)₂ (Answer)

$\texttt{\textsf{\large{\underline{Steps}:}}}$

• Divide the number by two.
• Write the quotient on the left and the remainders on the right.
• Repeat 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.