Exact
1024
2 to the Power of 10
Answer
2 to the power of 10 equals 1024.
Decimal
1024
Formula
2¹⁰ = 1024
Worked steps
1
Definition
2 raised to the power of 10 means 2 multiplied by itself 10 times. Result: 1024.
2
Calculator method
Type 2, press ^ (or x^y), type 10, press =. Result: 1024.
3
Why it matters in computing
1024 is the kilo prefix for binary memory (1 KB = 1024 bytes).
About this value
2^10 = 1024. Powers of 2 are the bedrock of binary computing. 1 KB (kilobyte) is 1024 bytes — that's where the 'kilo' prefix differs from its decimal sense in computing.
Frequently asked questions
What is 2 to the power of 10?
2 to the Power of 10 equals 1024 as an exact value, or 1024 as a decimal. The exact form is what you'd typically write in exam working; the decimal is what your calculator displays.
How do I calculate it on a calculator?
Type 2, press ^ or x^y, type the exponent, press =. The result for 2^10 is 1024.
Why are powers of 2 important?
Binary computing — every bit doubles the address space, every byte holds 256 distinct values (2⁸). Memory sizes, file format limits, and the famous 'Year 2038 problem' all stem from powers of 2.
Negative powers of 2?
2^(-n) = 1/(2^n). So 2^(-3) = 1/8 = 0.125. Used in binary fractions, IEEE 754 floating-point exponent biases, and signal processing.