dc.description.abstract |
Decimal multiplication is an integral part offinancial,
commercial, and internet-based computations. The basic
building block of a decimal multiplier is a single digit
multiplier. It accepts two Binary Coded Decimal (BCD)
inputs and gives a product in the range [0, 81] represented
by two BCD digits. A novel design for single digit decimal
multiplication that reduces the critical path delay and area
is proposed in this research. Out of the possible 256
combinations for the 8-bit input, only hundred
combinations are valid BCD inputs. In the hundred valid
combinations only four combinations require 4 x 4
multiplication, combinations need x multiplication,
and the remaining combinations use either x or x
3 multiplication. The proposed design makes use of this
property. This design leads to more regular VLSI
implementation, and does not require special registers for
storing easy multiples. This is a fully parallel multiplier
utilizing only combinational logic, and is extended to a
Hex/Decimal multiplier that gives either a decimal output
or a binary output. The accumulation ofpartial products
generated using single digit multipliers is done by an array
of multi-operand BCD adders for an (n-digit x n-digit)
multiplication. |
en_US |