ANSWERS: 4
  • To understand what a hexadecimal number is, first think about the way we count naturally, in batches of ten (or what mathematicians call Base 10). We count up to ten (eg. 40, 41, 42, 43, 44, 45, 46, 47, 48, 49), and then start the next batch of ten (50, 51, 52...). This way, we have 10 character 0-10 to represent any number. A hexidecimal number uses Base 16, or 16 characters to represent numbers, and is typically used by computers for addressing purposes. The characters we use to count in hexadecimal are as follows - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A B C D E F. We use A-F because our normal decimal system doesn't include enough characters to represent after 9.
  • Small correction. When you said, "we have 10 character 0-10 to represent any number" you really should have said "we have 10 characters (0-9) to represent any number." A good way to understand different number bases is to just place them side by side. Decimal Hex Octal Binary (0-9) (0-F) (0-7) (0-1) ------- ----- ----- ------ 0 0 0 0 1 1 1 1 2 2 2 10 3 3 3 11 4 4 4 100 5 5 5 101 6 6 6 110 7 7 7 111 8 8 10 1000 9 9 11 1001 10 A 12 1010 11 B 13 1011 12 C 14 1100 13 D 15 1101 14 E 16 1110 15 F 17 1111 16 10 20 10000 17 11 21 10001 18 12 22 10010 19 13 23 10011 20 14 24 10100
  • In any base you can work out "how much" the figure represents by multiplying each column by the appropriate base to the appropriate power. A trivial example in decimal, 123 (one hundred and twenty-three): 10^2 * 1 + 10^1 * 2 + 10^0 * 3 = 123. In hexadecimal, therefore, 59A: 5 * 16^2 + 9 * 16^1 + 10 * 16^0 = 1434 (in decimal). This is why the table provided in a previous answer has "11" in the hex column for decimal 17.
  • Hexidecimal is a number in base 16 that may sound confusing, and well, it is, but i'll do my best to explain it. we work in base ten because our number system has 10 digits (0, 1,2,3,4,5,6,7,8, and 9). Hexidecimal, scince it is in base 16 has 16 digits (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E and F) althouigh you can replace A, B, C, D, E, anf F with any character, although most people use these. You can have any number base,but it must be an integer and more than (or including) 2 when saying a number (like for example 22, or 10) say the digits, not what the number is in base 10 (so for the above example, 22 = two-two, 10= one-zero, and A1F6 is A-one-F-six). base 2 is binary (0 and 1) but most people use hexidecimal PS RGB hex codes use hexidecimal for their colours, so like red is FF0000 as an RGB hex code (255 red, 00 green, and 00 blue). 10 BY 10 square of base 16 numbers 1 2 3 4 5 6 7 8 9 A B C D E F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 21 22 23 24 25 26 27 28 29 2A 2B 2C 2D 2E 2F 30 31 32 33 34 35 36 37 38 39 3A 3B 3C 3D 3E 3F 40 41 42 43 44 45 46 47 48 49 4A 4B 4C 4D 4E 4F 50 51 52 53 54 55 56 57 58 59 5A 5B 5C 5D 5E 5F 60 61 62 63 64 to work out any number in base 16 up to 100, use this table. find the units digit on the top row (if the last digit is 0 then use the last colum) and go down by however many the tens number is. for example, tof ind what 35 is in base 16, go along by 5 (from 1, so you end up at 5) andg o down 3, so you get 23!! (two-three). Alternativly you can use a corresponding normal 10x10 chart!

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