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Adders:Carry Look-Ahead Adder.
By
Ahmed Farahat
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Carry Look-Ahead Adder As previously stated, the carry, c i +1, produced at the i -th position is calculated as c i +1 = x i · y i ∨ c i ·( x i ⊕ y i ). This means that a carry is generated if both x i and y i are 1, or an incoming carry is propagated if one of x i and y i is 1 and the other is 0. Therefore, letting g i denote x i y i , we have c i +1 = g i ∨ c i p i , where p i = x i ⊕ y i . Here, g i is the formula for the carry generation condition at the i -th position, i.e., when g i is 1, a carry is generated at this position. Substituting g i –1 ∨ p i –1 c i –1 for c i , we get A carry look-ahead adder can be realized according to this expression, as illustrated in Figure 41.10 for the case of four bits [21]. According to this expression, c i +1’s are calculated at all positions in parallel. It is hard to realize an n -bit carry look-ahead adder precisely according to this expression, unless n is small, because maximum fan-in and fan-out restriction is violated at higher...
ASIC and Custom IC Cell Information Representation:GDS2
By
Ahmed Farahat
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GDS2 The Graphical Design System (GDS) format is a binary format developed by Calma Company in 1971 to convey IC layout information between IC designers and fabricators. Calma presented GDS2 format, the improved version of GDS, in 1978. Finally in 1991, when Cadence acquired Calma, GDS2 rights were transferred to it. In the design process, after the completion of routing and placement, design rule check (DRC) and layout versus schematic (LVS) are performed to verify the final layout. Then the verified layout, dumped in a GDS2 file, is transferred to IC foundries for fabrication. GDS2 File Format GDS2 is a standard mask layout intermediate format containing a single cell or a library of cells each of which includes a number of geometrical objects such as boundaries, paths, boxes, etc. These objects correspond to different layers of a cell where each layer is specified by a layer number and data type [3]. The file format of GDS2 is in binary. A GDS2 file contains a number of variable...
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