Author: vlsifacts

Single-Precision IEEE 754 Representation for Floating Point Numbers

March 12, 2023June 19, 2025 vlsifacts No Comments

In the previous article, we got an overall idea about the representation of floating point number. In this article, we will specifically focus on the single-precision IEEE 754 representation of floating point numbers. Single precision format represents any floating point number in 32 bits. The following figure shows all the parts of the single precision…

Digital Electronics

Floating Point Format

March 12, 2023June 19, 2025 vlsifacts No Comments

Imagine you have a processor with registers of size 32 bits. Can the processor store a number larger than 32 bits in one register? It is possible if the number is represented in floating point format. The floating point format is useful in representing very large and very small integer numbers without increasing the number…

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Digital Electronics

Hexadecimal Arithmetic

March 12, 2023June 19, 2025 vlsifacts No Comments

Though the computers store everything in binary format, the user interface deals with the hexadecimal format for ease of understanding. For a human, it is easy to deal with hexadecimal than the stream of ones and zeros. So, in this article, we will study the arithmetic of hexadecimal numbers. One way to perform hexadecimal arithmetic…

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Digital Electronics

Understanding Overflow through Examples

March 12, 2023June 19, 2025 vlsifacts No Comments

We have learned from the article “addition of 2’s complement signed binary numbers” that overflow occurs if the carries into and out of MSB are different. In this article, we will solve some examples that highlight how to detect overflow and how to avoid overflow. Example: Perform the following binary addition in 2’s complement arithmetic….

Digital Electronics

Interesting Facts Regarding Global Chip Shortage 2020-21

March 10, 2023June 19, 2025 vlsifacts No Comments

Chip shortage is a semiconductor crisis that occurs when global demand for semiconductor chips is much more than production. Chip shortage can happen for multiple reasons. And we already know the major reasons behind the global chip shortage 2020-21. Let’s discuss a few interesting facts about the global chip shortage 2020-21. There are many more…

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Range of Signed Numbers

March 10, 2023June 19, 2025 vlsifacts No Comments

If we have three binary bits, then we can represent eight numbers, starting from 0 to 7. So, in other words, 0 to 7 is the range of numbers that we can represent using three binary bits. However, this range is defined for unsigned magnitude numbers. In this article, we will get to know the…

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Digital Electronics

Addition of 1’s Complement Signed Binary Numbers

March 10, 2023June 19, 2025 vlsifacts 1 Comment

In an earlier article, we learned about 2’s complement addition. In this article, we will discuss how to perform 1’s complement addition. We will consider the same example that is taken for the 2’s complement addition. Important Rule: Add the two numbers using the basic rules of binary addition. If there is a carry out…

Digital Electronics

What is Overflow in case of Binary Arithmetic

March 10, 2023June 19, 2025 vlsifacts No Comments

Many a time, overflow in a binary addition seems like a final carry generation. However, overflow leads to an incorrect sum, whereas carry does not. This is a little confusing if not understood correctly. So, let’s understand the overflow concept clearly. Imagine you have a half-tea-filled cup. Your friend has a jar with some amount…

Digital Electronics

Addition of 2’s Complement Signed Binary Numbers

March 9, 2023June 19, 2025 vlsifacts No Comments

Addition and subtraction of 2’s complement signed binary numbers are important learning concepts, as digital computers use 2’s complement representation. 2’s complement arithmetic follows all the basic rules of binary arithmetic. However, a few tricks need to be learned so that we can get the correct result in its 2’s complement form. This article discusses…

Digital Electronics

Why does Global Chip Shortage Happen

March 9, 2023June 19, 2025 vlsifacts No Comments

All of you must have heard about the chip shortage in the recent news. The global chip shortage 2020-2021 is an ongoing crisis that affected multiple sectors. What do you understand from global chip shortage, then? Chip shortage, alternatively known as semiconductor shortage, arises when the demand for semiconductor chips becomes higher than the supply….

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