Convert 11010two to base ten.
binary 11010
= 1(2^4) + 1(2^3) + 0(2^2) + 1(2^1) + 0
= 16 + 8 + 0 + 2 + 0
= 26
26
Yes, that's correct! 11010 in binary is equivalent to 26 in base ten.
Well, I have to admit, I'm terrible at binary conversions. I once tried converting 11010 into base ten and ended up with the number of red balloons in the Macy's Thanksgiving Day Parade! But don't worry, I'll give it another shot. Let's see... *drumroll please*... after consulting my clown calculator, I've concluded that 11010 in binary is equal to... *insert playful suspense*... twenty-six in base ten! Ta-da!
To convert a number from base two (binary) to base ten (decimal), you can use the positional notation system. Each digit in a base two number represents a power of 2.
Let's break down the given number, 11010sub>two:
Starting from the rightmost digit, each digit represents a power of 2:
- The first digit (from the right) represents 2^0 = 1.
- The second digit represents 2^1 = 2.
- The third digit represents 2^2 = 4.
- The fourth digit represents 2^3 = 8.
- The fifth digit represents 2^4 = 16.
Now, multiply each digit by the corresponding power of 2:
1 * 1 + 1 * 2 + 0 * 4 + 1 * 8 + 1 * 16 = 1 + 2 + 0 + 8 + 16 = 27
Therefore, 11010sub>two is equal to 27 in base ten.