What do curly braces mean in Verilog?

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The curly braces mean concatenation, from most significant bit (MSB) on the left down to the least significant bit (LSB) on the right. You are creating a 32-bit bus (result) whose 16 most significant bits consist of 16 copies of bit 15 (the MSB) of the a bus, and whose 16 least significant bits consist of just the a bus (this particular construction is known as sign extension, which is needed e.g. to right-shift a negative number in two’s complement form and keep it negative rather than introduce zeros into the MSBits).

For what it’s worth, the nested curly braces around a[15:0] are superfluous.

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