October 2006
Intermediate to advanced
544 pages
20h 23m
English
Content preview from Digital Systems: Principles and Design
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233Binary Arithmetic and Decoding and Mux Logic Units
Point to Remember
A number of demultiplexers can be arranged in tree topology to obtain a bigger number
of input-bits decoder by using the control gate (enable) pin(s) and applying inputs to the
enable pins also in different combinations.
EXAMPLES
Write a general formula for an i-th stage carry to next stage using AND operation as a new
term and OR operation as a propagating term at the i-th stage.
Solution
Using the formula; Cy = A.B + A.Cy + B.Cy, the carry at stages 0 to (m 1)th for an m-bit
adder can be written as follows:
Cy
0
= 0 = Cy
1
; Cy
1
= Previous stage carry at the 0th stage = 0.
Cy ...
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