The binary number 10010 can be simplified by converting it to its decimal equivalent. To do this, we will assign powers of 2 to each digit, starting from the rightmost digit, which represents 20.
Here’s a breakdown of the conversion:
- The rightmost digit (0) is 20 = 0
- The next digit to the left (1) is 21 = 2
- The next digit (0) is 22 = 0
- The next digit (0) is 23 = 0
- The leftmost digit (1) is 24 = 16
Now, we sum these values: 0 + 2 + 0 + 0 + 16 = 18.
Therefore, the simplest form of the binary number 10010 in decimal format is 18.