By Frank Luna, Susan Nguyen
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Extra resources for C++ Programming for Game Developers, Module II (Textbook)
That is, “11100001” in binary is “E1” in hexadecimal, which is “225” in decimal. We also point out that there are now sixteen possible hexadecimal numbers to work with. 3. You can use this calculator program to check your work for the exercises. 1 Counting in Binary The binary number system is a base two number system. This means that only two possible values per digit exist; namely 0 and 1. In binary, we count similarly to the way we count in base ten. For example, in base ten we count 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and then, because we have run out of values, to count ten we reset back to zero and add a new digit which we set to one, to form the number 10.
2 6310 = ? 2 9510 = ? 2 13310 = ? 10 Convert the following hex numbers to binary: 5B16 = ?
Again we subtract 210 9710 − 6410 = 3310 5 = 3210 is the We ask again, what is the largest power of two that can fit into 3310 ? We find that 210 5 = 3210 from 3310 and get: largest that will fit. We subtract 210 3310 − 3210 = 110 44 0 Finally, we ask, what is the largest power of two that can fit into 110 ? We find that 210 = 110 is the largest that will fit. We subtract 110 from 110 and get zero. 1 Counting in Hexadecimal The hexadecimal (hex for short) number system is a base sixteen number system.