What is 2 to the power of 16?

2 to the power of 16, often written as 2¹⁶, equals 65,536.

This calculation comes from multiplying 2 by itself 16 times. Here’s the breakdown:

• 2¹ = 2
• 2² = 2 x 2 = 4
• 2³ = 2 x 2 x 2 = 8
• 2⁴ = 2 x 2 x 2 x 2 = 16
• 2⁵ = 2 x 2 x 2 x 2 x 2 = 32
• 2⁶ = 2 x 2 x 2 x 2 x 2 x 2 = 64
• 2⁷ = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
• 2⁸ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256
• 2⁹ = 2⁸ x 2 = 512
• 2¹⁰ = 2⁹ x 2 = 1,024
• 2¹¹ = 2¹⁰ x 2 = 2,048
• 2¹² = 2¹¹ x 2 = 4,096
• 2¹³ = 2¹² x 2 = 8,192
• 2¹⁴ = 2¹³ x 2 = 16,384
• 2¹⁵ = 2¹⁴ x 2 = 32,768
• 2¹⁶ = 2¹⁵ x 2 = 65,536

This value, 65,536, is significant in computing as it represents the number of possible values for a 16-bit binary number.