Answer:
12
Explanation:
The pattern in the given sequence involves converting the four-digit binary numbers to their decimal equivalents. In binary, each digit represents a power of 2, with the rightmost digit being 2^0, the next digit being 2^1, and so on.
Let's break down the pattern step-by-step:
0000 = 0
0001 = 2^0 = 1
0010 = 2^1 = 2
0011 = 2^1 + 2^0 = 3
0100 = 2^2 = 4
0101 = 2^2 + 2^0 = 5
0110 = 2^2 + 2^1 = 6
0111 = 2^2 + 2^1 + 2^0 = 7
To find what 1100 equals, we apply the same logic:
1100 = 2^3 + 2^2 = 8 + 4 = 12
Therefore, following the given pattern, 1100 equals 12