Question

convert the following number 10 to
the binary number​

Answer 1

Answer:

• 10 in binary number system is 1010.

Step-by-step explanation:

Process:

To convert a decimal number into a binary number, we have to divide the number by 2 and write the quotient and remainder. Remainder should be written on the right hand side (RHS). We will divide the quotients till we have our quotient as 0. Then, we will write the remainders, starting from the bottom to get our binary number.

Solution:

$\begin{gathered} {\begin{array}{ c |c|c} \frak{ \sf{2}}& \rm{ \sf{10}}& \sf{}\\ \dfrac{\qquad}{ \sf 2}&\dfrac{\qquad}{ \sf \: 5}&\dfrac{\qquad}{ \sf 0}\\ \dfrac{\qquad}{ \sf 2}& \dfrac{\qquad}{ \sf 2}&\dfrac{\qquad}{ \sf 1} \\ \dfrac{\qquad}{ \sf 2}& \dfrac{\qquad}{ \sf 1}&\dfrac{\qquad}{ \sf 0} \\ \dfrac{\qquad}{ \sf 2}& \dfrac{\qquad}{ \sf 0}&\dfrac{\qquad}{ \sf 1} \end{array}}\end{gathered}$

Now,

To get the number 10 as a binary number we have to write the remainders starting from the bottom.

Therefore,

• 10 as a binary number is 1010

We can also write it as (1010)₂ because binary number system has 2 as its base.

Know more:

• Base of decimal number system is 10. It consists of 10 digits (i.e. 0 - 9).
• Base of binary number system is 2. It consists of 2 digits (i.e. 0 and 1).
• Base of octal number system is 8. It consists of 8 digits (i.e. 0 - 8).
• Base of hexadecimal number system is 16. It consists of 16 digits (i.e. 0 - 10 and alphabets A - F).