convert 101101two to a number in base ten.
1011012
= 2^5 + 0(2^4) + 2^3 + 2^2 + 0(2^1) + 2^0
= 32 + 8 + 4 + 1
= 45
To convert a number from binary (base two) to decimal (base ten), you can use the positional notation system. Each digit in a binary number represents a power of 2, starting from the rightmost digit.
Let's convert the binary number 101101 to base ten:
1. Start from the rightmost digit and assign a power of 2 to each digit. The rightmost digit has a power of 2^0, the next digit has a power of 2^1, then 2^2, and so on.
Binary: 1 0 1 1 0 1
Power: 2^5 2^4 2^3 2^2 2^1 2^0
2. Multiply each digit by its corresponding power of 2.
Binary: 1 0 1 1 0 1
Power: 2^5 2^4 2^3 2^2 2^1 2^0
= 0 8 0 4 0 1
3. Sum up the results of each multiplication.
0 + 8 + 0 + 4 + 0 + 1 = 13
Therefore, the binary number 101101 is equal to 13 in base ten.