10010010001110
10010010001110 is a binary string, a sequence of 1s and 0s that represents a numerical value in the base-2 numeral system. Each digit in a binary number corresponds to a power of two, starting from the rightmost digit (which represents 2^0 or 1). To convert this binary string into its decimal equivalent, one must sum the values of each bit multiplied by its positional weight.
- Starting from the left, the first bit (1) is the 15th position (2^14), contributing 16,384.
- The next bit (0) is the 14th position (2^13), contributing 0.
- The third bit (0) is the 12th position (2^12), contributing 0.
- The fourth bit (1) is the 11th position (2^11), contributing 2,048.
- The fifth bit (0) is the 10th position (2^10), contributing 0.
- The sixth bit (0) is the 9th position (2^9), contributing 0.
- The seventh bit (1) is the 8th position (2^8), contributing 256.
- The eighth bit (0) is the 7th position (2^7), contributing 0.
- The ninth bit (0) is the 6th position (2^6), contributing 0.
- The tenth bit (0) is the 5th position (2^5), contributing 0.
- The eleventh bit (0) is the 4th position (2^4), contributing 0.
- The twelfth bit (1) is the 3rd position (2^3), contributing 8.
- The thirteenth bit (1) is the 2nd position (2^2), contributing 4.
- The fourteenth bit (1) is the 1st position (2^1), contributing 2.
- The fifteenth bit (0) is the 0th position (2^0), contributing 0.
Adding these values together results in 18,680 in decimal.
In computing, binary strings like 10010010001110 may appear in various contexts, such as memory addresses, data