Question

Look at these variable declarations:

unsigned int a:6, b:10, c:16;
What is the largest number you can represent using the variable a?
A) 2 ^ 6
B) (2 ^ 32) - 1
C) (2 ^ 6) - 1
D) 2 ^ 32

Answer 1

The largest number you can represent using the variable a is (2^6) - 1, because a has 6 bits of storage space.

Step-by-step explanation:

The largest number you can represent using the variable a is (2^6) - 1

1. Option A, 2^6, represents the total number of binary combinations that can be represented by 6 binary digits. However, we subtract 1 because one of those combinations is reserved for representing 0.
2. Option B, (2^32) - 1, represents the highest possible number that can be represented by a 32-bit unsigned integer.
3. Option C, (2^6) - 1, is the correct answer because the variable a has 6 bits of storage space.
4. Option D, 2^32, represents the total number of binary combinations that can be represented by a 32-bit unsigned integer. However, it is not relevant to the variable a in this case.