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How many different values can be stored by a 32 bit register?
Question

How many different values can be stored by a 32 bit register?

A.

2322^{32}​​

B.

322\frac{32}{2}​​

C.

2x32

D.

32232^2​​

Correct option is A

The correct answer is: (a) 2³²

Explanation:
A 32-bit register can store 2³² different values because each bit can have 2 states (0 or 1), and with 32 such bits, the total number of possible combinations is 2 × 2 × ... (32 times) = 2³² = 4,294,967,296 distinct values.

Information Booster:
• A bit is the smallest unit of data in computing (0 or 1).
• A register is a small storage location within the CPU.
• 2⁸ = 256 (used in 8-bit systems), 2¹⁶ = 65,536 (in 16-bit), 2³² = ~4.29 billion.
• 32-bit systems can address up to 4 GB of memory directly.
• 2³² is important in IP addressing (IPv4).
• In unsigned integer storage, values range from 0 to 2³²−1.

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