In his philosophy it was almost an extravagance to supply addition and multiplication facilities as hardware,
在他的哲学中，用硬件来实现加法和乘法，是一种浪费，
since in principle they could be replaced by instructions applying only the more primitive logical operations of OR, AND, and NOT.
因为它们都可以用指令来实现，而指令只需要更基本的逻辑操作：与、或、非。
Indeed, the Colossus, when it was 'almost' programmed to do multiplication, had done just that.
事实上，巨人机就是这样做的。
Since these primitive logical operations (absent from the EDVAC draft design) were incorporated in his plan for the ACE, he could indeed have omitted adders and multipliers, and still have had a universal machine.
他的ACE计划就是由这些原始的逻辑操作（EDVAC草案中没有）组成的，不需要加法和乘法部件。
In reality, he did include special hardware to perform arithmetical tasks,
但在实际构造中，他确实使用了特定的硬件，来执行算术运算，
but even there he decomposed the arithmetical operations into small pieces so that he could economise on hardware at the cost of more stored instructions.
但他把这些运算分解成很基本的硬件操作，以便可以用更多的指令存储空间为代价，来节省硬件成本。
The whole conception was very puzzling to his contemporaries, to whom a computer was a machine to do sums, and a multiplier the very essence of its function.
这个概念，对于那个时代的人们来说，是极其难以理解的。在他们眼中，计算机就是用来计算的，而乘法是最基本的功能。
To Alan Turing, the multiplier was a rather tiresome technicality; the heart lay in the logical control, which took the instructions from the memory, and put them into operation.
但在图灵看来，乘法只是一个技术细节，逻辑控制才是关键的核心，这个核心从存储器中读取指令，并执行它们。
For similar reasons, his report placed no great emphasis upon the fact that the ACE would use binary arithmetic.
基于同样的考虑，图灵并没有在报告中强调这一点：ACE将使用二进制。
He stated the advantage of the binary representation, namely that electronic switches could naturally represent '1' and '0' by 'on' and 'off'.
他只是轻描淡写地说到了二进制的优势，即电子开关可以很自然地用"开/关"来表示"1/0"，仅此而已。
But that was all, apart from a terse statement that the input and output to the machine would be in ordinary decimal notation, and that the conversion process would have 'virtually no outward and visible form'.
另外还有一个简洁的阐述：机器的输入和输出将基于常用的十进制，而且两个数制之间的转换过程"不需要任何外在可见的部件"。