With more than 70% of signal processing algorithms using multiplication and addition, multipliers have become an integral part of signal processing. Keeping these numbers in mind, it’s evident that we require a high-speed multiplier for rapid processing. With high-speed digital processing applications, designers are always on the lookout for components with high speed and low power consumption.
Let’s take a look at the different types of multipliers and their functionality.
1. Booth Multiplier
Used for binary multiplication, this multiplier presents the output in -2’s complement (signed integers).
With a modified algorithm of booth multipliers, you can implement IIR filters to filter out excessive noise and distortion.
2. Combinational Multiplier
With their intermediate products, combinational multipliers are used for multiplication of unsigned binary variables. However, the generation of intermediate numbers takes a lot of system memory and makes the process comparatively slow.
3. Wallace Tree
Developed by Chris Wallace, this model is a comparatively efficient implementation of multipliers. It eliminates the generation of partial products, using select carry adder for their addition. While other multipliers require O (log2n) time, a Wallace multiplier takes O (log n) for performing multiplication, not much longer than addition time.
4. Array Multiplier
Well known for its easy placing and routing, array multipliers are used for parallel multiplication. In terms of speed, this multiplier outperforms the conventional serial multiplication methods. Although the use of multiple gates increases its overall power consumption, the issue can be resolved by using the pipelining method.
5. Sequential Multiplier
To better understand the working of sequential multipliers, let’s take an example of two binary numbers A and B with ‘m’ and ‘n’ bits respectively. In order to multiply these numbers with a single adder of n bits, we’ll have to build a circuit that produces one partial product in a single cycle and then repeats the cycle for ‘m’ number of times. Such a circuit is known as the sequential multiplier.
Preferred due to their minimal area requirements, they’re an attractive choice when you’re creating a space-efficient design.
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Not only that, but we cater to all your design needs. Our range of products includes multiplexers and demultiplexers, Boolean logic gates, frequency and clock dividers, phase detectors, 4-bit ADC, and several other instrumentation products.
Contact us today if you have any queries or place an order for your custom design!