Since there are 256 possible bit patterns with 8 bits, there could be 128 positive and 128 negative integers.

You may have thought of the sign-magnitude method, discussed below.

There
are many schemes for representing negative integers
with patterns of bits.
One scheme is **sign-magnitude**.
It uses one bit
(usually the leftmost)
to indicate the sign.
"0" indicates a positive integer,
and "1" indicates a negative integer.
The rest of the bits are used
for the magnitude of the number.
So -24_{10} is represented as:

1001 1000 The sign "1" means negative The magnitude is 24 (in 7-bit binary)

With 8-bit sign-magnitude representation, what positive integers can be represented and what negative integers can be represented?