二进制减法与2的补 [英] Binary Subtraction with 2's Complement

问题描述

我需要帮助，用2的再presentation并使用5位为每个号码二进制减去：

I need help subtracting with binary using 2's representation and using 5 bits for each number:

1）-9 -7 =？是否有溢出？

1) -9 -7 = ? Is there overflow?

-9 = 01001（2的补= 10111）和-7 = 00111（2的补= 11001）

-9 = 01001 (2's complement = 10111) and -7 = 00111 (2's complement = 11001)

现在我们需要添加，因为我们使用的是2的补

Now we need to add because we're using 2's complement

10111
11001
= 100000但是，这个答案是没有意义的。另外，我假设有溢出，因为有超过500位的答案。

10111 +11001 = 100000 But this answer doesn't make sense. Also, I'm assuming there's overflow because there are more than 5 bits in the answer.

2）6 - 10，相同的处理之前。负二进制数字没有意义对我

2) 6 - 10, same process as before. Negative binary numbers don't make sense to me

推荐答案

1）-9 - 7

-9 - 7 = -9 + -7

-9 - 7 = -9 + -7

9（二进制）= 01001结果
-9（2的补数）= 10111结果
7（二进制）= 00111结果
-7（2的补数）= 11001

9 (binary) = 01001
-9 (2's complement) = 10111
7 (binary) = 00111
-7 (2's complement) = 11001

 10111 +
 11001 =
110000

这并不适合5位。删除我们得到10000溢出问题，从而为-16（二进制）。

This doesn't fit into 5 bits. Removing the overflow we get 10000, which is -16 (binary).

2）6 - 10

6 - 10 = 6 + -10

6 - 10 = 6 + -10

6（二进制）= 00110结果
10（二进制）= 01010结果
-10（2的补数）= 10110

6 (binary) = 00110
10 (binary) = 01010
-10 (2's complement) = 10110

 00110 +
 10110 =
 11100

这适合5位，为-4（二进制）。

This fits into 5 bits and is -4 (binary).

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