Question
Explains the conversion of a binary number (base-2) to an equivalent
decimal number (base-10).
decimal number (base-10).
Answers
GPT 3.5
To convert a binary number to a decimal number, follow these steps:
1. Write down the binary number. For example, let's consider the binary number 1011.
2. Start from the rightmost digit (the least significant bit) and assign a place value to each digit. The rightmost digit has a place value of 2^0, the next digit has a place value of 2^1, the next digit has a place value of 2^2, and so on.
3. Multiply each digit by its corresponding place value and sum all the results. In our example, the calculation would be:
(1 * 2^0) + (0 * 2^1) + (1 * 2^2) + (1 * 2^3)
= 1 + 0 + 4 + 8
= 13
Therefore, the decimal equivalent of the binary number 1011 is 13.
1. Write down the binary number. For example, let's consider the binary number 1011.
2. Start from the rightmost digit (the least significant bit) and assign a place value to each digit. The rightmost digit has a place value of 2^0, the next digit has a place value of 2^1, the next digit has a place value of 2^2, and so on.
3. Multiply each digit by its corresponding place value and sum all the results. In our example, the calculation would be:
(1 * 2^0) + (0 * 2^1) + (1 * 2^2) + (1 * 2^3)
= 1 + 0 + 4 + 8
= 13
Therefore, the decimal equivalent of the binary number 1011 is 13.