101111000010

101111000010 is a binary number. In binary, each digit represents a power of two. The number 101111000010 can be converted to its decimal equivalent by summing the products of each digit and its corresponding power of two. Starting from the rightmost digit as 2^0, the leftmost digit is 2^11.

Therefore, 101111000010 in decimal is calculated as:

(1 * 2^11) + (0 * 2^10) + (1 * 2^9) + (1 * 2^8) + (1 * 2^7) + (1 * 2^6) + (0 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)

This equals 2048 + 0 + 512 + 256 + 128 + 64 + 0 + 0 + 0 + 0 + 2 + 0 = 3010.

In hexadecimal, binary numbers can be grouped into sets of four digits, with each group representing a hexadecimal digit. 101111000010, when grouped from right to left, becomes 1011, 1100, 0010.

1011 in binary is 11 in decimal, which is 'B' in hexadecimal.

1100 in binary is 12 in decimal, which is 'C' in hexadecimal.

0010 in binary is 2 in decimal, which is '2' in hexadecimal.

Therefore, 101111000010 in hexadecimal is B C 2, or BC2.

The number 101111000010 is a 12-bit binary number. Bits are the fundamental units of information in computing, representing either a 0 or a 1. The length of a binary number, such as 12 bits in this case, determines the range of values it can represent.