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Variables, Constants, Operators, and Expressions
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The shift operators, >> and <<, move all bits in a variable to the right or left as specified The general form of the shift right statement is variable >> number of bit positions and the shift left statement is variable << number of bit positions As bits are shifted off one end, bits are brought in the other end Remember, a shift is not a rotate That is, the bits shifted off one end do not come back around to the other The bits shifted off are lost, and 0s are brought in However, a right shift of a negative number shifts in ones (This maintains the sign bit) Bit shift operations can be very useful when decoding external device input, like D/A converters, and reading status information The bitwise shift operators can also be used to perform very fast multiplication and division of integers A shift left will effectively multiply a number by 2, and a shift right will divide it by 2, as shown in Table 2-9 The one s complement operator, ~, will reverse the state of each bit in the specified variable That is, all 1s are set to 0, and all 0s are set to 1 The bitwise operators are used often in cipher routines If you wished to make a disk file appear unreadable, you could perform some bitwise manipulations on it One of the simplest methods would be to complement each byte by using the one s complement to reverse each bit in the byte as shown here: Original byte After 1st complement After 2nd complement 00101100 11010011 00101100 same
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THE FOUNDATION OF C++
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Notice that a sequence of two complements in a row always produces the original number Hence, the first complement would represent the coded version of that byte The second complement would decode it to its original value You could use the encode( ) function shown here to encode a character:
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/* A simple cipher function */ char encode(char ch) { return(~ch); /* complement it */ }
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x as Each Statement Executes
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char x; x = 7; x = x << 1; x = x << 3; x = x << 2; x = x >> 1; x=x >> 2; 00000111 00001110 01110000 11000000 01100000 00011000
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7 14 112 192 96 24
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Each left shift multiplies by 2 You should notice that information has been lost after x << 2 because a bit was shifted off the end Each right shift divides by 2 Notice that subsequent division will not bring back any lost bits
Table 2-9
Multiplication and Division with Shift Operators
The Operator
C has a very powerful and convenient operator that can be used to replace certain statements of the if-then-else form The ternary operator takes the general form Exp1 Exp2 : Exp3 where Exp1, Exp2, and Exp3 are expressions Notice the use and placement of the colon The operator works like this Exp1 is evaluated If it is true, then Exp2 is evaluated and becomes the value of the expression If Exp1 is false, then Exp3 is evaluated and its value becomes the value of the expression For example:
x = 10; y = x>9 100 : 200;
2:
Variables, Constants, Operators, and Expressions
Here, y will be assigned the value 100 If x had been less than or equal to 9, y would have received the value 200 The same code written using the if/else statement would be:
x = 10; if(x>9) y = 100; else y = 200;
THE FOUNDATION OF C++
The operator will be discussed more fully in 3 in relationship to C s other conditional statements
The & and * Pointer Operators
A pointer is the memory address of a variable A pointer variable is a variable that is specifically declared to hold a pointer to a value of its specified type Knowing a variable s address can be of great help in certain types of routines Pointers have three main uses in C: 1 They can provide a very fast means of referencing array elements 2 They allow C functions to modify their calling parameters 3 They support dynamic data structures, such as linked lists These topics and uses will be dealt with in 6, which is devoted exclusively to pointers However, the two operators that are used to manipulate pointers will be presented here The first pointer operator is & It is a unary operator that returns the memory address of its operand Remember that a unary operator only requires one operand For example,
m = &count;
places into m the memory address of the variable count This address is the computer s internal location of the variable It has nothing to do with the value of count The operation of the & can be remembered as returning the the address of Therefore, the preceding assignment statement could be read as m receives the address of count To better understand the preceding assignment, assume the variable count resides at memory location 2000 Also assume that count has a value of 100 After this assignment, m will have the value 2000
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