Sign Extension
Narrow data signals must frequently cross into wider buses inside ALUs and memory interfaces.
A 4-bit two's complement signal X holds the binary value 1101. This signal must be extended to an 8-bit bus Y before an arithmetic operation can take place. Two extension methods are proposed: zero-padding the most significant bits and replicating the sign bit.
Evaluate both extension methods and determine the resulting decimal values to verify the correct hardware implementation for two's complement arithmetic.
Constraints
- All binary numbers must be evaluated as two's complement signed integers.
- The original signal
Xis strictly 4 bits wide. - The target bus
Yis strictly 8 bits wide.
Topics
Solve this problem
Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.
This problem is part of Codiode Pro. The statement above is free to read.
The circuit builder and code editor need a desktop screen. On a phone, read the problem here and open it on a laptop to solve.