2's compliment of 1100=1+1's compliment of 1100=0001+0100=0101
2's compliment of 1001=1+1's compliment of 1001=0001+0110=0111
2's compliment of 1000=1+1's compliment of 1000=0001+0111=1000
2's compliment of 1111=1+1's compliment of 1111=0001+0001=0001
so option c is right answer