Question

perform the following addition of fixed-point binary operands using the binary addition algorithm. assume that the binary point is in the middle. what value does the sum represent?

Answer 1

To perform addition of fixed-point binary operands, align the numbers, add the corresponding bits, and consider the binary point.

Step-by-step explanation:

The addition of fixed-point binary operands using the binary addition algorithm can be done by following these steps:

1. Align the binary numbers so that the binary point is in the same position.
2. Add the corresponding bits from right to left, just like regular binary addition.
3. If there is a carry-out from the most significant bit, it indicates an overflow and the result is outside the representable range.
4. The value of the sum represents the result of the addition, considering the binary point position.

For example, let's say we have two fixed-point binary numbers: 101.0101 and 110.0011. We align them as:

101.0101
+ 110.0011
-----------

Then, we add the corresponding bits:

101.0101
+ 110.0011
-----------
1011.100

The sum of these two fixed-point binary operands represents the value 1011.100.