I'm reading The C++ Programming Language. In it Stroustrup states that sizeof(char) == 1
and 1 <= sizeof(bool)
. The specifics depend on the implementation. Why would such a simple value as a boolean take the same space as a char?

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2They are not "the same size". Like every other type, a `bool` must be _at least_ the same size as a `char`. But it is free to be larger. – underscore_d May 23 '17 at 20:37
7 Answers
In modern computer architectures, a byte is the smallest addressable unit of memory. To pack multiple bits into a byte requires applying extra bit-shift operations. At the compiler level, it's a trade off of memory vs. speed requirements (and in high-performance software, those extra bit-shift operations can add up and slow down the application needlessly).

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Because in C++ you can take the address of a boolean and most machines cannot address individual bits.

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true, but you can fake it by overloading the unary & operator and returning a proxy reference class :-P – Evan Teran Nov 05 '08 at 22:35
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4The resulting "fake pointer" would not be representable as a char*, which the C++ standard requires for pointers to built-in types (not including pointer-to-function and pointer-to-member). So while fun for user-defined types, the trick can't be used by the compiler for bool. – Steve Jessop Nov 06 '08 at 22:37
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This is the right answer. A more interesting question is why the authors of the standard weren't willing to recognize the possibility of a standalone 'bit' type whose address couldn't be taken, especially it does recognize the concept of such types within structures (using bitfields), and since such types have been used for a long time been in the embedded C world. Not all linkers would support granularity finer than one byte, but a standard could allow compilers to allocate 'bit' variables on a per-bit basis when convenient without requiring them to do so in any circumstance. – supercat Nov 04 '11 at 19:19
It takes the same space, because the smallest amount of space you can write in memory is a single byte. Both values are stored in a byte. Although you theoretically only need 1 bit to signify a boolean value, you still have to have a whole byte to store the value.

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Theoretically you only need a single bit for a bool, but working with less than 1 byte's worth of data is messy. You need more instructions to achieve anything and you don't really benefit.
If you want to pack multiple booleans into a single byte you can use a bit-field structure.

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A byte is the smallest addressable unit of memory.
Consider the following code:
bool b[9];
bool *pb0 = &b[0];
bool *pb1 = &b[1];
for (int counter=0; counter<9; ++counter)
{
// some code here to fill b with values
b[counter] = true;
}
If bool is stored as 1 bit, then pb0 will equal pb1, because both have the same address. This is clearly not desirable!
Additionally the assignment in the loop will result in non-trival assembly code. It will involve a different bit shift in each iteration of the loop. In high-performance software, those extra bit-shift operations can slow down the application needlessly.
The STL library provides a work-around in situations where space DO matter. The use of std::vector<bool> will store bool as 1 bit. The paradox of the example above do not apply because
- the overloading of operator[] hides the rigors of the bit shift operation
- the use of iterators instead of pointers give additional flexibilty to the implementation

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Actually, in most implementation that I know of sizeof(bool) == sizeof(int). "int" is intended to be the data size that is most efficient for the CPU to work with. Hence things which do not have a specific size (like "char") are the same size as an int. If you had a large number of them per object, you may want to implement a means of packing them for storage, but during normal calculation, it should be left it's native size.

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if you are going to use an array of booleans, use the std::vector
, it has specialised implementations for bit vectors that only uses one bit per element. – Mats Fredriksson Nov 05 '08 at 22:17 -
@mats: std::bitset is less crazy. vector
tries and fails to be an STL container. There's also boost::dynamic_bitset, which unlike std::bitset can grow. – Steve Jessop Nov 06 '08 at 22:41
There is this thing in C++ called vector that attempts to exploit the fact that you can theoretically store 8 bools in one char, but it's widely regarded as a mistake by the C++ standards committee. The book "effective stl" actually says "don't use it". That should give you an idea of how tricky it is.
BTW: Knuth has a book just dedicated to bitwise operations. Boost also has a library dedicated to handling large numbers of bits in a more memory efficient way.

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You mean "called vector **
**". Every other type of `vector` is perfectly sane. – underscore_d May 23 '17 at 20:35