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南邮-计算机组成原理-ch02-1运算方法-二进制数据表示定点加法溢出判断21-245,附录,210

0101010

2.2

x 0 x 1

⎧ ≤ <

[ ]

x ⎨

1 x 1 x 1 x 0

⎩ − + − < ≤

x [ ] x

x

[ ]

x +0.1001 x 0.1001

[ ]

x −0.1001 x 1+x 1.1001

[ ]

x +0.x x Lx x 0.x x Lx

1 2 n 1 2 n

[ ]

x −0.x x Lx x 1.x x Lx

1 2 n 1 2 n

⎧ x 0 x 2n

≤ <

[ ]

x ⎨ n n n

2 x 2 x 2 x 0

⎩ + − − < ≤

[ ]

x +1001 x 01001