Zhegalkin normal form

Zhegalkin normal form is a way of writing numbers in binary form. For example, suppose you want to write down the number 8. In binary, this would be 1000. However, with Zhegalkin normal form, instead of writing 1000, you would write 11 (which means "1 and 1"). This is because 11 in binary is actually 8 (1*4 + 1*2 + 0*1 = 8). So instead of writing down the individual 0s and 1s, you just write down the terms that have 1s.