What is the binary representation of the decimal number 53?

The binary representation of the decimal number 53 is 110101.

To convert a decimal number to binary, we use a process of dividing by 2 and tracking the remainders. Let's break down how we convert the decimal number 53 into binary.

First, we divide 53 by 2. The quotient is 26 and the remainder is 1. In binary, this remainder becomes the least significant bit (the rightmost bit).

Next, we divide the quotient from the previous step, 26, by 2. The new quotient is 13 and the remainder is 0. This remainder becomes the next bit to the left in the binary representation.

We continue this process with the new quotient, 13. Dividing by 2 gives a quotient of 6 and a remainder of 1. This remainder is the next bit.

Dividing 6 by 2 gives a quotient of 3 and a remainder of 0. The remainder is the next bit.

Dividing 3 by 2 gives a quotient of 1 and a remainder of 1. Both the quotient and the remainder become bits in the binary representation.

Finally, we divide the last quotient, 1, by 2. The quotient is 0 and the remainder is 1. This remainder is the most significant bit (the leftmost bit).

So, putting all the remainders together, from most significant bit to least significant bit, we get 110101. This is the binary representation of the decimal number 53.

For those interested in exploring how binary relates to other numerical systems used in computing, you can learn more about the binary and number systems.

Understanding different data types and their representations in computer systems is crucial for programming and data manipulation. More information can be found here: understanding data types.

Additionally, this concept is a fundamental computer operation that every programmer must grasp. Further reading on fundamental computer operations can be accessed at introduction to fundamental computer operations.

Lastly, the methodical process used to convert decimal to binary mirrors strategies used in computer science development life cycles, which you can study in detail at purpose of development life cycles.

A-Level Computer Science Tutor Summary: To convert the decimal number 53 to binary, we repeatedly divide by 2, noting down the remainders. Starting with 53, each division's remainder forms a bit of the binary number, from right to left. Continuously dividing until the quotient is 0, we obtain the binary representation 110101. This method simplifies converting any decimal to binary, making it easier to understand and apply.