Binary addition. Is this an overflow?

Question

Binary values ​​are in the form of additions 2s.

If I have to add 110001 (-15) and 101110 (-18), and the answer should be stored in a 6-bit integer, this is underflow / overflow.

Answer 1

This overflow, your professor is right. You save more bits that can be held in the allocated space (although the number that the bits represent is negative.)

Underflow is when a bit gets zero due to bias in a lot of math. Very often in fixed-point math. Divide a very small number by a very large number, and you pretty often get 0. This is underutilization.

Answer 2

-70 -90 .

Let assume R1[8 bits] = -70 R2[8 bits] = -90 Result[9 bits] = -160, an extra bit for overflow.

overflow_signed_detection 1 . , , .

Answer 3

EDIT: , -33 6 , -33, +31, , , :)

, . ( ).

, 0x7fffffff 0x00000001, 0x80000000, , , .

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