总结一下。它被称为布尔代数是有原因的:

  0 x 0 = 0
  1 x 0 = 0
  1 x 1 = 1

  0 + 0 = 0
  1 + 0 = 1
  1 + 1 = 0 (+ carry)

如果你看那里的真值表，你可以看到乘法是布尔和，而简单的加法是异或。

回答你的问题:

return (a + b + c) >= 2

If the goal is to return a bitwise two-out-of-three value for three operands, arithmetic and iterative approaches are apt to be relatively ineffective. On many CPU architectures, a good form would be "return ((a | b) & c) | (a & b);". That takes four boolean operations. On single-accumulator machines (common in small embedded systems) that's apt to take a total of seven instructions per byte. The form "return (a & b) | (a & c) | (b & c);" is perhaps nicer looking, but it would require five boolean operations, or nine instructions per byte on a single-accumulator machine.

顺便提一下，在CMOS逻辑中，计算“不是三选二”需要12个晶体管(相比之下，逆变器需要2个晶体管，双输入NAND或NOR需要4个晶体管，而三输入NAND或NOR需要6个晶体管)。

函数ko返回答案:

static int ho(bool a)
{
    return a ? 1 : 0;
}

static bool ko(bool a, bool b, bool c)
{
    return ho(a) + ho(b) + ho(c) >= 2 ? true : false;
}

下面是使用map/reduce的另一个实现。在分布式环境中，这可以很好地扩展到数十亿布尔值©。使用MongoDB:

创建数据库的布尔值:

db.values.insert({value: true});
db.values.insert({value: false});
db.values.insert({value: true});

创建map, reduce函数:

编辑:我喜欢CurtainDog的回答有映射/减少适用于泛型列表，所以这里有一个地图函数，它接受一个回调，决定一个值是否应该被计数。

var mapper = function(shouldInclude) {
    return function() {
        emit(null, shouldInclude(this) ? 1 : 0);
    };
}

var reducer = function(key, values) {
    var sum = 0;
    for(var i = 0; i < values.length; i++) {
        sum += values[i];
    }
    return sum;
}

运行map / reduce:

var result = db.values.mapReduce(mapper(isTrue), reducer).result;

containsMinimum(2, result); // true
containsMinimum(1, result); // false


function isTrue(object) {
    return object.value == true;
}

function containsMinimum(count, resultDoc) {
    var record = db[resultDoc].find().next();
    return record.value >= count;
}

在Clojure中:

(defn at-least [n & bools]
  (>= (count (filter true? bools)) n)

用法:

(at-least 2 true false true)

我不喜欢三元(return a ?(b || c):(b && c);从最上面的答案)，我想我没有看到任何人提到过它。它是这样写的:

boolean atLeastTwo(boolean a, boolean b, boolean c) {
    if (a) {
        return b||c;
    } 
    else {
        return b&&C;
    }