Please how do I convert 101 to base 10
To convert a number from any base to base 10, you can use the positional notation system. In the given case, since the number is already in base 10, there is no need for any conversion.
Therefore, 101 in base 10 remains as 101.
To convert a number from base 2 to base 10, you need to multiply each digit of the number by the corresponding power of 2 and then add them up. Let's convert 101 from base 2 to base 10:
Step 1: Assign powers of 2 to each digit, starting from the rightmost digit:
- The rightmost digit is in the 2^0 position.
- The next digit to the left is in the 2^1 position.
- The leftmost digit is in the 2^2 position.
Step 2: Multiply each digit by the corresponding power of 2:
1 * 2^2 + 0 * 2^1 + 1 * 2^0
Step 3: Simplify the equation:
1 * 4 + 0 * 2 + 1 * 1
Step 4: Calculate the result:
4 + 0 + 1 = 5
Therefore, the base 10 representation of the number 101 is 5.
To convert a number from any base to base 10, you need to understand the positional notation system. In the positional notation system, the value of a digit depends on its position or place value in the number.
To convert the binary number 101 to base 10, follow these steps:
1. Write down the binary number with the position values below each digit:
101 (4, 2, 1)
2. Multiply each digit of the binary number by the corresponding position value and add them together:
(1 * 4) + (0 * 2) + (1 * 1) = 4 + 0 + 1 = 5
Therefore, the binary number 101 is equal to 5 in base 10.