Binary Number System Yes, I cheated ... Scale Puzzles 104 is just a short introduction to "Base Two" Back to Scale Puzzles 103 * * Please help us keep our puzzles free! * * Forward to Scale Puzzles 201

Look at the first few Binary Numbers 0001 = 1 0010 = 2 0011 = 2+1 = 3 0100 = 4 0101 = 4+1 = 5 0110 = 4+2 = 6 0111 = 4+2+1 = 7 1000 = 8 1001 = 8+1 = 9 1010 = 8+2 = 10 1011 = 8+2+1 = 11 1100 = 8+4 = 12 1101 = 8+4+1 = 13 1110 = 8+4+2 = 14 1111 = 8+4+2+1 = 15 Does this pattern look suspiciously like the answer that you came up with for Scale Puzzles 103?	In our Decimal numbering system (base ten), each digit position's value is equal to ten times the position to the right. We have the one's digit, ten's digit, hundred's, thousand's, etc.
	hundred thousands	ten thousands	thousands	hundreds	tens	units
	In the Binary numbering system (base two), each digit position has a value that is double the value of the digit to its right. We have the one digit, two digit, four digit, eight digit, etc. (We don't need plurals here, because the only possible value of a digit is either zero or one).
	thirty-two	sixteen	eight	four	two	one
	When you want to know what a binary number is equal to, just write the number in a table like this. Where you see a 1, add the value of that column. How much is "101010 base 2" equal to?
	thirty-two	sixteen	eight	four	two	one
	1	0	1	0	1	0
	32 + 0 + 8 + 0 + 2 + 0 = 44