Binary Multiplier Circuit for Signed Numbers Explained @ALLABOUTELECTRONICS

Uploaded May 2023 | Updated September 2026, 3 weeks ago

In this video, the design of the Binary Multiplier Circuit for Signed Binary Numbers is explained step by step.

The Binary Multiplication of Signed Numbers involves the additional steps compared to unsigned number multiplication:
1) Sign extension of each partial product (up to 2n bits)
2) The subtraction of the last partial product (instead of addition)

Because of these additional steps, the implementation of Array Multiplier for the signed numbers requires additional hardware in terms of the adder circuits. But with a little modification in the circuit, the required number of additional adders can be reduced significantly.
The same method and its hardware implementation are explained step by step in this video.

For better understanding, please refer to the following videos related to Binary Multiplication and 2s Complement Representation:

1) Binary Multiplication Explained:
youtu.be/hK1OYxYpwEc

2) Binary Multiplication of Signed Numbers:
youtu.be/NxBRKkNIpwY

3) How to Design a Binary Multiplier Circuit (for unsigned binary numbers)
youtu.be/O34KquoMpT0

4) 1s Complement and 2s Complement Representation:
youtu.be/MuUnffIpX7Y

5) Digital Electronics (Playlist):
youtube.com/playlist?list=PLwjK_iyK4LLBC_so3odA64E2MLgIRKafl

This video will be helpful to all the students of science and engineering in understanding the design of Binary Multiplier Circuit for Signed Binary Numbers.

#allaboutelectronics
#binarymultiplication
#digitalelectronics
#2scomplement

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Binary Multiplier Circuit for Signed Numbers Explained

$Introduction to Feedback Amplifier | The concept of Negative Feedback and its advantages In this video, what is feedback in the electrical circuits, the types of feedback, the general structure of the feedback amplifier and the effect of negative feedback on the amplifier circuit are explained in detail. The following topics are covered on the video: 0:00 Introduction 0:50 What is Feedback and Types of Feedback 2:15 Advantages of Negative Feedback 4:00 Basic Structure of Feedback Amplifier 7:40 What is Loop Gain and Effect of Loop Gain on Amplifier 11:16 Concept of Virtual Ground / Virtual Short in op-amp (from feedback amplifier perspective) _For more videos on op-amp, check this playlist:_ https://youtube.com/playlist?list=PLwjK_iyK4LLDBB1E9MFbxGCEnmMMOAXOH&si=7HG0DXJmuhJjDNmt _For more videos on Oscillators and Multivibrators, check this playlist:_ https://youtube.com/playlist?list=PLwjK_iyK4LLCVdgBR30pSFVj-17TI_8ou&si=gNO6jGsO0s3xmKJ3 *Feedback in Electrical / Electronic Circuits:* In the electrical/ electronic circuits and in control systems, the fraction of the output signal is sampled using the feedback network and it is feed back to the input side. On the input side, using mixer / comparator circuit, the feedback signal is either added or subtracted from the source signal. *Negative Feedback:* In the negative feedback, the feedback signal is subtracted from the source signal. In this type of feedback, the actual input to the circuit or basic amplifier is less than the source signal. This type of feedback is used in amplifier circuits and control systems to improve the overall stability. *Positive Feedback:* In positive feedback, the feedback signal is added with the source signal. This type of feedback is used in oscillators and multivibrator circuits. _Effect of Negative Feedback on the Amplifier:_ 1) Desensitises the gain 2) Reduces Non-Linear Distortion 3) Reduces the effect of noise / interference 4) Increases the bandwidth 5) Depending on the feedback topology, it modifies the input and output impedance. 6) Reduces the gain of the amplifier In this video, the general structure of the feedback amplifier is explained and the expression of the closed loop gain of the amplifier is derived. Moreover, the concept of loop gain and its effect on the feedback amplifier is also explained. At the later part of the video, the concept of the virtual ground of the op-amp is explained from the feedback amplifier perspective. This video will be helpful to all the students of science and engineering in understanding the concept of the negative feedback in the amplifiers, and the effect of negative feedback on amplifier. #allaboutelectronics #analogelectronics #feedback #feedbackamplifier Support the channel through membership program: https://www.youtube.com/channel/UCBkOVp1Cqz4MR0LYR8vKpZg/join Follow my second channel: https://www.youtube.com/channel/UCGA2TO8ylVqFHpucwn_6Jlw Follow me on WhatsApp channel: https://www.whatsapp.com/channel/0029VaLeZrfAO7RDoKr7je0l Follow me on Facebook: https://www.facebook.com/ALLABOUTELECRONICS/ Follow me on Instagram: https://www.instagram.com/all_about.electronics/ Music Credit: http://www.bensound.com$

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