Question

convert into decimal into binary

262

Answer 1

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

• The binary equivalent of the given decimal number (262)₁₀ is (1000 0011 0)₂

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\sf2&\sf262&\\ \sf2&\sf131&\sf0\\ \sf2&\sf65&\sf1\\ \sf2&\sf32&\sf1\\ \sf2&\sf16&\sf0\\ \sf2&\sf8&\sf0\\ \sf2&\sf4&\sf0\\ \sf2&\sf2&\sf0\\ \sf2&\sf1&\sf0\\ &\sf0&\sf1\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (262)₁₀ is (1000 0011 0)₂ (Answer)

$\textsf{\large{\underline{Steps To Solve}:}}$

• Divide the number by 2.
• Write the quotient on the left and remainders obtained on the right.
• Repeat the 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.

Answer 2

Steps to convert decimal to binary:

• Divide the number by 2.
• Get the integer quotient for the next iteration.
• Get the remainder for the binary digit.
• Repeat the steps until the quotient is equal to 0.

Steps:

Division by 2

(262)/2

Quotient

131

Remainder

0

Division by 2

(131)/2

Quotient

65

Remainder

1

Division by 2

(65)/2

Quotient

32

Remainder

1

Division by 2

(32)/2

Quotient

16

Remainder

0

Division by 2

(16)/2

Quotient

8

Remainder

0

Division by 2

(8)/2

Quotient

4

Remainder

0

Division by 2

(4)/2

Quotient

2

Remainder

0

Division by 2

(2)/2

Quotient

1

Remainder

0

Division by 2

(1)/2

Quotient

0

Remainder

1

Therefore the binary number = 100000110