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Draw a carry save adder tree using 3 : 2 counters ( i . e . . full adders ) are building blocks ( wallace

Draw a carry save adder tree using
3
:
2
counters
(
i
.
e
.
.
full adders
)
are building blocks
(
wallace tree
)
to accumulate partial products in the multiplication of two operands in the two complement format, where each operand is
15
bit long. Assume that radix
-
4
Booth recoding is used. How many levels are there in the tree?, what is the length of the final CPA
(
in terms of the number of digit positions across which the carry needs to propagate?, Let the delay of each
-
level be triangle
3
:
2.
then what is the total delay required by the tree to reduce the summation of partial products down to two operand,
(
excluding the delay of booth
-
recoding
)
?
,
Now draw another tree based on the
(
4
,
2
)
compressors. What is the length of final carry
-
propagate adder? Let the delay of each level be triangle
1
:
2.
Then what is the total delay of the tree? Derive conditions relating triangle
3
:
2
and triangle
4
:
2
under which
(
a
)
The wallace Tree is faster and
(
b
)
The
4
:
2
compressor tree is faster

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