C++ Programming for Game Developers, Module II (Textbook) by Frank Luna, Susan Nguyen

By Frank Luna, Susan Nguyen

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B. A bitwise OR written as A | B, which for each corresponding bit in A and B, returns a “true” bit if at least one of the bits is “true,” otherwise it returns a “false” bit. c. A bitwise NOT written as ~A, which negates each bit in A (“true” bits become “false” and conversely). d. A bitwise XOR written as A ^ B, which for each corresponding bit in A and B, returns a “true” bit if one of the bits is “true” but not both, otherwise it returns a “false” bit. e. A bit shift operation written as A << m for a shift in the left direction of m bit spaces, or as A >> n for a shift in the right direction of n bit spaces.

Let us look at the binary to see what is happening more closely: A = 1011 1001 B = 1001 0001 53 C = 1011 1001 << 3 = 1100 1000 D = 1001 0001 >> 2 = 0010 0100 Can you see how the bits “shifted over” by the specified number? Note that when you shift bits “off” the memory region you are working with, they are lost—they do not “loop” back around. 6 Compound Bit Operators C++ provides compound bit operators as well. 6 Floating-Point Numbers Before concluding this chapter, we want to spend a little time giving you an overview of how floatingpoint numbers are represented.

Normalized means that there is only one non-zero digit before the radix point (we say radix point to be general since we may be working in number systems other than decimal; we do not call it a decimal point). 5. The exponent part of a floating-point number determines the range of the number (how big and small it can get) and the mantissa part of a floating-point number determines the precision of the number (the “step” size between two adjacent numbers on the number line). 56 6. 14 × 10 0 ), in binary the left most nonzero binary digit will always be 1 in normalized form.

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