What is the 4-bit binary representation of the decimal number 10?

The 4-bit binary representation of the decimal number 10 is indeed 1010.

To understand why this is the correct answer, we can break down how decimal numbers convert to binary.

In binary, each digit represents a power of 2, starting from the rightmost digit, which is (2^0). The next digit to the left represents (2^1), then (2^2), and so on.

For the number 10, we need to express it as a sum of powers of 2. The number 8 (which is (2^3)) and 2 (which is (2^1)) together equal 10. In binary, we represent these contributions as follows:

• 8 corresponds to the third bit (from the right), which is 1.

• 4 corresponds to the second bit, which is 0 since we do not use 4 in the sum.

• 2 corresponds to the first bit (from the right), which is 1 as we include 2.

• 1 corresponds to the zeroth bit, which is 0 since we do not use 1 in the sum.

So, reading from left to right,