Power-of-two evaluation What decimal value does 2^5 represent?

Introduction / Context:
Powers of two are fundamental in digital systems because binary place values are powers of 2. Evaluating 2^n is straightforward multiplication by 2 repeated n times.

Given Data / Assumptions:

• Base = 2.
• Exponent n = 5.
• 2^n means multiply 2 by itself n times.

Concept / Approach:
Compute 2^5 using successive doubling or by recognizing that 2^5 is the next value after 2^4 = 16.

Step-by-Step Solution:

Verification / Alternative check:
Binary 100000 equals 32 decimal, which corresponds to 2^5.

Why Other Options Are Wrong:

• 10/31/25: Do not equal 2^5; 31 is one less than 32, and 25 confuses with the decimal digits 2 and 5.

Common Pitfalls:
Reading “2^5” as the decimal number 25 instead of a power.

Final Answer:
32