Why does 10110 have the decimal value 22?

Answer 1

The 1's and 0's have a value of YES or NO. Start from right to left. The first slot is 1, the 2nd slot is 2, the 3rd slot is 4, the 4th slot is 8 and the 5th slot is 16 and the numbers just keep doubling in value. Any slot that has a 0 is worth 0, any slots with a 1 has a value based on the slot it is in.

In this case the 5th, 3rd, and 2nd slots (1st slot is on right, 5th is on left) are the ones you have to ADD together.

10110 = 16 + 0 + 4 + 2 + 0 = 22

You always start from the right, and the slots value on the right always starts at 1 and the slots value doubles every time going from right to left.

examples:

11111111 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

10101010 = 128 + 0 + 32 + 0 + 8 + 0 + 2 + 0 = 60

10000001 = 128 + 0 + 0 +0 + 0 + 0 + 0 + 1 = 129