Perform the division $110 / 10$ in binary.

Open in App

Solution

Binary division.
Binary division problems can be solved by using the long division method, which is one of the most efficient and easiest ways to solve binary division.
$110 / 10 = 110 \div 10$
Step 1. Convert numerator into decimal number system.
Numerator value in the decimal system
${(110)}_{2} = {(6)}_{10}$
Step 2. Convert the denominator into decimal number system.
Denominator value in the decimal system
${(10)}_{2} = {(2)}_{10}$
Step 3. Divide decimal number system.
$\begin{array}{rcl} 110 \div 10 & = & 6 / 2 \\ \Rightarrow & 110 \div 10 = 3 \end{array}$
Step 4. Convert quotient into a binary system.
${(3)}_{10} = {(11)}_{2}$
Therefore, $110 / 10$ in binary is equal to ${(11)}_{2}$ .

Suggest Corrections

Similar questions

Q. The remainder and the quotient of the binary division

(101110)_{2} \div (110)_{2}

are respectively

Perform the following division $100 \div \frac{3}{10}$

Q. Perform division:

(y^{2} + 7 y + 10) \div 6 (y + 5)

Show that addition, subtraction, and multiplication are binary operations on $R$ , but division is not a binary operation on $R$ . Further, show that division is a binary operation on the set $R_{*}$ of nonzero real numbers.

Show that subtraction and division are not binary operations on $N$ .

Join BYJU'S Learning Program

Perform the division 110/10 in binary.

Perform the division $110 / 10$ in binary.