1st is False.
1's complement representation, Range is ($-(2^{n - 1} - 1)$ to $(2^{n - 1} - 1)$.
Put n = 8, you will get - 127 to 127.
Note: In 1's complement representation, we have two representation for zero.
one is all zero which is 00000000 $\Rightarrow$ +0.
Other is all 1 which is 1111111 $\Rightarrow$ -0.
But zero is zero which has value zero.
2nd is true.
In 2's complement representation, Range is $-2^{n - 1}$ to $(2^{n - 1} - 1)$
Put n = 8, we have -128 to 127.
In 2's complement here we have only one representation for zero.