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3 years ago

If you add 111 and 0101 in 4-bit signed fields, is there a carry or overflow?

Computers and Technology

1 answer:

Ghella [55]3 years ago

4 0

Answer: there is an overflow

Explanation:

Here using 4-bit signed fields to store the addition value.

0111 + 0101 = 1100

In above addition the MSB is reserved for sign.

If MSB is 0 means the number is positive.

If MSB is 1 means the number is negative.

The first number 0111 has MSB 0 means it is a positive number.

The second number 0101 has MSB 0 means it is also a positive number.

But after addition the result obtained is 1100 which MSB is 1 indicating the

result is negative number.

How can it be possible to add two positive numbers and get a negative number as result.

This type of situation is called overflow situation.

It is used for error detection purpose.

therefore there is an overflow

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