#! /usr/bin/env python3

def bit0_is_on(bp):
    if bp % 2 == 0:
        return 0
    else:
        return 1

def bit_is_on(bp, index):
    return bit0_is_on(bp >> index)

def print_truth_table(f):
    print(f'#  x y | f')
    print(f'   0 0 | {f[0]}')
    print(f'   0 1 | {f[1]}')
    print(f'   1 0 | {f[2]}')
    print(f'   1 1 | {f[3]}')

for i in range(16):
    f = [
        bit_is_on(i, 0),
        bit_is_on(i, 1),
        bit_is_on(i, 2),
        bit_is_on(i, 3),
    ]
    print_truth_table(f)