The next number P in the sequence of binary numbers 0, 10, 100, 110, P, ... is:

Read as binary the terms are 0, 2, 4 and 6 in decimal, an even count rising by two, so the next value 8 is 1000.

Each step adds decimal 2, and 6 plus 2 gives 8, whose binary form is 1000.

The value 111 is decimal 7, an odd number that breaks the even sequence.

The value 1010 is decimal 10, which skips over 8 and jumps too far ahead.

The value 1001 is decimal 9, again odd and not the next even term.

In binary each place is a power of two, so 1000 means one eight and zero of four, two and one.