Change 10010two to base 10
10010two is equivalent to 18 in base 10.
To convert from binary (base 2) to decimal (base 10), we can take each digit in the binary number and multiply it by 2 raised to the power of its position, starting from 0 on the right.
10010two can be broken down as follows:
1 * 2^4 = 16
0 * 2^3 = 0
0 * 2^2 = 0
1 * 2^1 = 2
0 * 2^0 = 0
Adding these up, we get:
16 + 0 + 0 + 2 + 0 = 18
To convert a number from base 2 (binary) to base 10 (decimal), you can use the following method:
1. Write down the binary number: 10010.
2. Start from the rightmost digit and assign it a place value of 2^0.
- The rightmost digit is 0, so its place value is 2^0 = 1.
3. Move to the left and increase the place value exponent by 1 for each digit.
- The next digit is 1, so its place value is 2^1 = 2.
- The next digit is 0, so its place value is 2^2 = 4.
- The next digit is 0, so its place value is 2^3 = 8.
- The leftmost digit is 1, so its place value is 2^4 = 16.
4. Multiply each digit by its corresponding place value and sum them all up.
- 0 * 1 + 1 * 2 + 0 * 4 + 0 * 8 + 1 * 16 = 0 + 2 + 0 + 0 + 16 = 18.
Therefore, the binary number 10010 is equivalent to the decimal number 18.