To represent 1024 shades of gray, you would need 10 bits.
Here's how you can calculate it:
- 2^10 = 1024
In binary representation, 2^10 corresponds to 10 bits because each additional bit doubles the number of possible values (shades of gray in this case). So, with 10 bits, you can represent 1024 different shades of gray, ranging from 0000000000 to 1111111111 in binary, which is equivalent to 0 to 1023 in decimal.