Question

What is the representation of $1024$ in base $2$?

Answer 1

Hint: The provided problem is based on the binary system. Then a long process is the Decimal to binary conversion, usually achieved by splitting the decimal number into two. Numerical values are represented by two different symbols: zero, one Knowing the process of division to answer these questions.

Formula used:
According, to convert any given decimal number into its equivalent binary number system.
Binary Numbers is representing as Base $2$
Octal Numbers is representing as Base $8$
Decimal Numbers is representing as Base $10$
Hexadecimal Numbers is representing as Base $16$
Decimal to binary conversion is a long process which is usually done by dividing the decimal number to $2$. Continuous division of integers is carried out until the remainder reaches to $0$ or $1$.

Complete step-by-step answer:
We represent the $1024$ in base $2$
Find ${\left( {1024} \right)_2}$
We know that,binary number is representing as base $2$
The given formula is based on the conversion of Decimal to Binary number,
Decimal number is $1024$
Convert decimal to binary
Divide by $2$
Shown below,

All the reverse order reminders arrive at a corresponding binary number that is almost identical to the decimal number given.
The value of decimal to binary represented as \[{\left( {1024} \right)_2}\] is $10000000000$.

Note: It is possible to solve the above problem using the binary system formula. The numbers can be positioned to the left or right of the point. its direct implementation in electronic circuits using logic gates because of its identical method of locating the other binary system values greater than or less than one.