### Answer

The statement is **False**.

In a two's complement system, overflow can only occur when adding two numbers of the same sign. When you add two positive numbers, the result can exceed the maximum representable positive value, leading to overflow. Conversely, if you add two negative numbers, the result can go below the minimum representable negative value.

However, when adding numbers of opposite signs (one positive and one negative), the range of possible sums remains within the representable range. The positive number can effectively "cancel out" some or all of the negative value, and hence, an overflow error will not occur in this scenario.

In summary, overflow errors in two's complement arithmetic specifically arise from operations that involve two operands of the same sign, making the original statement incorrect.

Question

### Answer

The statement is **False**.

In a two's complement system, overflow can only occur when adding two numbers of the same sign. When you add two positive numbers, the result can exceed the maximum representable positive value, leading to overflow. Conversely, if you add two negative numbers, the result can go below the minimum representable negative value.

However, when adding numbers of opposite signs (one positive and one negative), the range of possible sums remains within the representable range. The positive number can effectively "cancel out" some or all of the negative value, and hence, an overflow error will not occur in this scenario.

In summary, overflow errors in two's complement arithmetic specifically arise from operations that involve two operands of the same sign, making the original statement incorrect.

Knowee AI · Accepted Answer

### Answer

The statement is **False**.

In a two's complement system, overflow can only occur when adding two numbers of the same sign. When you add two positive numbers, the result can exceed the maximum representable positive value, leading to overflow. Conversely, if you add two negative numbers, the result can go below the minimum representable negative value.

However, when adding numbers of opposite signs (one positive and one negative), the range of possible sums remains within the representable range. The positive number can effectively "cancel out" some or all of the negative value, and hence, an overflow error will not occur in this scenario.

In summary, overflow errors in two's complement arithmetic specifically arise from operations that involve two operands of the same sign, making the original statement incorrect.

It is possible to get an overflow error in Two’s Complement when adding numbers of opposite signs. Group of answer choicesTrueFalse

Question

It is possible to get an overflow error in Two’s Complement when adding numbers of opposite signs.

Solution

Answer

Similar Questions

Upgrade your grade with Knowee