First we need to find how many bits are required to write -4 in 1's compliment
Range of 1s compliment is $-(2^{n-1}-1) to (2^{n-1}-1)$
So we will need at least 4 bits to write -4
Now write binary equivalent of 4= 0100
Now replace 0 with 1 and 1 with 0
-4 =1011