Pipeline Cellular Array1 A GENERALIZED PIPELINE CELLULAR ARRAY.

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Presentation transcript:

Pipeline Cellular Array1 A GENERALIZED PIPELINE CELLULAR ARRAY

Pipeline Cellular Array2 Generalized Addition, Subtraction, Multiplication, Division, Squaring and Squarerooting of Binary numbers This is a pipelined type of approach Since it is an array, it is convenient for VLSI design

Pipeline Cellular Array3 Basic Cells

Pipeline Cellular Array4 The Boolean Expressions for Arithmetic Cell: Control Cell:

Pipeline Cellular Array5

6

7 Note that, the square root of:

Pipeline Cellular Array8 Square Rooting:

Pipeline Cellular Array9 Examples: Find the square root of:

Pipeline Cellular Array10 square root of 25:

Pipeline Cellular Array11

Pipeline Cellular Array12

Pipeline Cellular Array13

Pipeline Cellular Array14

Pipeline Cellular Array15

Pipeline Cellular Array16

Pipeline Cellular Array17

Pipeline Cellular Array18 MULTIPLICATION In Multiplication, RIGHT SHIFT MULTIPLICATION method is used instead of LEFT SHIFT MULTIPLICATION method Example: 5 X 7 LEFT SHIFT MULTIPLICATION RIGHT SHIFTMULTIPLICATION

Pipeline Cellular Array19

Pipeline Cellular Array20

Pipeline Cellular Array21

Pipeline Cellular Array22

Pipeline Cellular Array23

Pipeline Cellular Array24

Pipeline Cellular Array25

Pipeline Cellular Array26

Pipeline Cellular Array27

Pipeline Cellular Array28

Pipeline Cellular Array29

Pipeline Cellular Array30 Note that in case of Binary numbers with Binary point, we first ignore the Binary point while feeding it on pipeline array. Finally, we add the Binary point at appropriate position depending upon the computation

Pipeline Cellular Array31 Propogate X Calculate C o Calculate F i Finally compute D, E, and S GENERAL PROCEDURE FOR DOING COMPUTATION ON PIPELINE ARRAY