101000011010
101000011010 is a binary number. In binary, each digit represents a power of two. The rightmost digit represents 2^0 (which is 1), the next digit to the left represents 2^1 (which is 2), and so on. To convert 101000011010 to its decimal equivalent, we sum the powers of two where the binary digit is a 1.
Starting from the rightmost digit of 101000011010:
The first digit (0) corresponds to 2^0.
The second digit (1) corresponds to 2^1 = 2.
The third digit (0) corresponds to 2^2.
The fourth digit (1) corresponds to 2^3 = 8.
The fifth digit (1) corresponds to 2^4 = 16.
The sixth digit (0) corresponds to 2^5.
The seventh digit (0) corresponds to 2^6.
The eighth digit (0) corresponds to 2^7.
The ninth digit (0) corresponds to 2^8.
The tenth digit (1) corresponds to 2^9 = 512.
The eleventh digit (0) corresponds to 2^10.
The twelfth digit (1) corresponds to 2^11 = 2048.
Summing these values: 2 + 8 + 16 + 512 + 2048 = 2586. Therefore, the binary number 101000011010 is equivalent