11010000110010

The binary number 11010000110010 is a sequence of 14 digits, each representing a bit in a binary numeral system. In the binary system, each digit can be either 0 or 1, and the position of each digit represents a power of 2.

To convert the binary number 11010000110010 to its decimal (base-10) equivalent, each digit is multiplied by 2 raised to the power of its position, starting from 0 on the right. The sum of these products gives the decimal value.

Let's break down the conversion process:

1. Identify the position of each digit, starting from the right (position 0).

2. Multiply each digit by 2 raised to the power of its position.

3. Sum the results.

For the binary number 11010000110010:

- 1 * 2^13 = 8192

- 1 * 2^12 = 4096

- 0 * 2^11 = 0

- 1 * 2^10 = 1024

- 0 * 2^9 = 0

- 0 * 2^8 = 0

- 0 * 2^7 = 0

- 0 * 2^6 = 0

- 1 * 2^5 = 32

- 1 * 2^4 = 16

- 0 * 2^3 = 0

- 0 * 2^2 = 0

- 1 * 2^1 = 2

- 0 * 2^0 = 0

Summing these values gives:

8192 + 4096 + 1024 + 32 + 16 + 2 = 12352

Therefore, the decimal equivalent of the binary number 11010000110010 is 12352. This binary number is also known as 12352 in decimal notation.