An array multiplier is a digital circuit used for multiplying binary numbers, consisting of full and half adders to generate product bits efficiently. It offers advantages like scalability and ease of layout but has drawbacks such as high power consumption and slower speed for wider multipliers. The use of integrated circuits mitigated some of the inefficiencies of earlier implementations.

1. ARRAY MULTIPLAYER
19IFTE063_K.S.Jothika
19IFTE073_T.G.Preethi

2. ARRAY MULTIPLAYER
• Checking the bits of the multiplier one at a
time and forming partial products is a
sequential operation that requires a
sequence of add and shift micro-
operations.
ARRAY MULTIPLICATION:A binary multiplier is an electronic
circuit used in digital electronics, such as a computer, to
multiply two binary numbers. It is built using binary adders.

3. • The multiplication of two binary numbers can be done with
one micro-operation by means of a combinational circuit that
forms the product bits all at once
• This is a fast way of multiplying two numbers since all it
takes is the time for the signals to propagate through the
gates that form the multiplication array.
• An array multiplier requires a large number of gates, and for
this reason it was not economical until the development of
integrated circuits.
• It is combinational circuit used for multiplying two binary
numbers by employing an array of FULL ADDERS and HALF
ADDERS.

4. EXAMPLEOFARRAYMULTIPLAYER
Two bit array multiplayer
1. P(0)= a0b0
2. P(1)=a1b0 + b1a0
3. P(2) = a1b1 + c1 where c1 is the
carry generated during the
addition for the P(1) term.
4. P(3) = c2 where c2 is the carry
generated during the addition
for the P(2) term.
Assuming A = a1a0 and B= b1b0

5. ANOTHER EXAMPLE , WHICH IS 4 BIT BY 3 BIT
ARRAY MULTIPLIER
• Binary number of four bits is represent
as as b3.b2,b1,b0
• Number of three bits is represented aS
a2,A1,a0
K= and j=3, we
need 12 AND Gates
To produce a product
of seven bits.
and FOUR BIT ADDERS

6. ADVANTAGES AND DISADVANTAGES
ADVANTAGES DISADVANTAGES
• Minimum
complexity
• Esily scalable
• Esily pipelined
• Regular shape
• Easy to place and
route
• High power consumption
• More digital gates resulting
in large chip area
• The speed will be slow for a
very wide multiplier
• the worst-case delay of
the multiplierproportional to
the width of themultiplier.