Four Bit Absolute Value Circuit
DSP pipelines constantly calculate magnitudes for signal strength analysis and error metrics. The absolute value function strips the sign from a two's complement number to return its positive magnitude.
The circuit takes a 4-bit two's complement input A and produces a 4-bit unsigned output Y. When A is positive or zero, Y equals A. When A is negative, Y equals the two's complement negation of A.
| A (Decimal) | A (Binary) | Y (Binary) | Y (Decimal) | |---------------|--------------|--------------|---------------| | 0 | 0000 | 0000 | 0 | | 7 | 0111 | 0111 | 7 | | -1 | 1111 | 0001 | 1 | | -8 | 1000 | 1000 | 8 |
Constraints
- Implement combinational logic only.
- Do not use clocks or sequential elements.
- Construct the datapath using XOR gates and a 4-bit adder.
- Drive the conditional inversion and adder carry-in directly from the sign bit of
A.
Topics
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