Addition with Carry Out
Arithmetic overflow in digital signal processing and datapath logic causes catastrophic calculation errors if the carry bit is ignored or dropped. Datapaths must frequently accommodate the maximum possible value of an arithmetic operation to preserve data integrity.
This module takes two 8-bit unsigned integers and computes their sum. To prevent overflow, the result is stored in a 9-bit vector. The most significant bit of this vector acts as the carry out flag, while the lower 8 bits represent the standard addition sum.
This circuit is strictly combinational. There are no clocks, resets, or sequential elements.
| Signal | Direction | Width | Description | |--------|-----------|-------|-------------| | a | input | 8 | First unsigned operand | | b | input | 8 | Second unsigned operand | | sum | output | 9 | The 9-bit sum of a and b; sum[8] captures the carry out |
Constraints
- Output
summust be exactly 9 bits wide - The circuit must be purely combinational
- Unsigned arithmetic must be used for all calculations
Topics
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Write the module in Verilog, SystemVerilog or VHDL. Your submission is compiled and simulated against a real testbench — you get the waveform back, not a stored answer.
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