Today is June 1101 but most would write it as June 13th, or Jun 13 2 10 The subscript 2 in the 1101 indicates the base, which is base 2 or binary. 2 The subscript 10 after and below the 13 in June 13 indicates the base, 10 base 10 or decimal. 1101 in base 2 is 1 8s plus 1 4s plus 0 2s plus 1 1s or 8 + 4 + 0 + 1 = 13 3 2 1 0 1101 is 1 * 2 + 1 * 2 + 0 * 2 + 1 * 2 8 + 4 + 0 + 1 = 13 in base 10 8543 in base 10 is: 3 2 1 0 8 * 10 + 5 * 10 + 4 * 10 + 3 * 10 8 1000s + 5 100s + 4 10s + 3 1s = 8,543 in base 10 You don't want to see what 8,543 looks like in binary. It would have 14 binary digits! Here is what 8,191 looks like: 1111111111111 8,191 is the largest possible 2 13 digit binary number. The above stuff should make more sense after you we use it for: 1. setting the permissions for our web page files and folders and graphics, and 2. specifying the colors of our web pages BGCOLOR (background color) and TEXT (foreground color), as well as LINK (hypertext) color. We may even discover why Halloween is the same date as Christmas for some programmers. :-) Base 10 Base 2 Base 8 Base 16 Base 10 Base 2 0 0 0 0 0 0000 1 1 1 1 1 0001 2 10 2 2 2 0010 Base 16 = Hexadecimal 3 11 3 3 3 0011 Base 8 = Octal 4 100 4 4 4 0100 Base 2 = Binary 5 101 5 5 5 0101 Base 10 = Decimal 6 110 6 6 6 0110 7 111 7 7 7 0111 8 1000 10 8 8 1000 9 1001 11 9 9 1001 10 1010 12 A 10 1010 11 1011 13 B 11 1011 12 1100 14 C 12 1100 13 1101 15 D 13 1101 14 1110 16 E 14 1110 15 1111 17 F 15 1111 16 10000 20 10 16 10000 ------- ----- ------ ------- ------- ------ Base 10 Base 2 Base 8 Base 16 Base 10 Base 2