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408考研:计组补码选择题

  • 2026-01-30 08:37:02
408考研:计组补码选择题

🧠题目：

如果一个 16 位整数的补码是 0xFFFF，那么它的十进制值是多少？

答案：

-1

解析：

第一步：将十六进制转换为二进制

0xFFFF = 1111111111111111 (16位)

第二步：判断正负

  • 最高位（符号位）为 1，表示这是一个负数

第三步：计算十进制值

符号位为1的补码值 = -2^15 + 其余15位的权值和= -2^15 + (2^14 + 2^13 + ... + 2^1 + 2^0)= -32768 + (32767)= -1

答案：-1

规律1：全F补码恒为-1

位数
十六进制
二进制
十进制值
8位
0xFF
11111111
-1
16位
0xFFFF
1111111111111111
-1
32位
0xFFFFFFFF
11111111... (32个1)
-1
64位
0xFFFFFFFFFFFFFFFF
11111111... (64个1)
-1

规律1：常见补码速查表（16位）

十六进制
二进制（简写）
十进制值
说明
0x0000
0000...0000
0
零
0x0001
0000...0001
+1
0x7FFF
0111...1111
+32767
最大正数
0x8000
1000...0000
-32768
最小负数
0x8001
1000...0001
-32767
0xFFFE
1111...1110
-2
0xFFFF1111...1111-1全1

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  1. CONNECT:[ UseTime:0.000900s ] mysql:host=127.0.0.1;port=3306;dbname=b_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001318s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.008333s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000740s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001054s ]
  6. SELECT * FROM `set` [ RunTime:0.000467s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001178s ]
  8. SELECT * FROM `article` WHERE `id` = 471577 LIMIT 1 [ RunTime:0.000784s ]
  9. UPDATE `article` SET `lasttime` = 1770272537 WHERE `id` = 471577 [ RunTime:0.012948s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.005875s ]
  11. SELECT * FROM `article` WHERE `id` < 471577 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001019s ]
  12. SELECT * FROM `article` WHERE `id` > 471577 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002019s ]
  13. SELECT * FROM `article` WHERE `id` < 471577 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.034459s ]
  14. SELECT * FROM `article` WHERE `id` < 471577 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002094s ]
  15. SELECT * FROM `article` WHERE `id` < 471577 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.005028s ]
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