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Digital Hardware Design
We have already seen octal to binary and hexadecimal to binary conversion in an earlier article. In this post, we will be learning how to convert binary to octal and binary to hexadecimal numbers. Following is the technique for these conversions. Technique Binary to Octal Conversion Example: 10110101112 = ?8 Binary to Hexadecimal Conversion Example:…
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Octal to binary and hexadecimal to binary conversions are important concepts with regard to digital electronics and digital computers. Following is the technique for these conversions. Technique Octal to Binary Conversion Example: 7058 = ?2 Hexadecimal to Binary Conversion Example: 10AF16 = ?2 For a detailed explanation, watch the following lecture video. Previous …
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The following technique is used to convert a decimal number to any number system. Technique Decimal to Binary Conversion Example: 12510 = ?2 Decimal to Octal & Decimal to Hexadecimal Conversion Example: 123410 = ?8 Example: 123410 = ?16 For a detailed explanation, watch the following lecture video. Previous Table of…
The following technique is used to convert any number system to its equivalent decimal number. Technique Examples 1010112 = 1×25 + 0x24 + 1×23 + 0x22 + 1×21 + 1×20 = 32 + 0 + 8 + 0 + 2 + 1 = 4310 7248 = 7×82 + 2×81 + 4×80 = 7×64 + 2×8…
It is important to learn the techniques of converting one number system to another while studying digital electronics or digital computers. This is because, in our day-to-day life we use decimal number systems, while computers use either binary or hexadecimal number systems. In the last lecture articles, we learned about the representation of different number…
The traditional number systems that we learned in school and use every day (decimal, binary, hexadecimal, octal etc.) are positional number systems. In such a system, a number is represented by a string of digits where each digit position has an associated weight. The value of a number is a weighted sum of the digits….
The number of independent digits used in the number system is known as Radix or Base of the number system. Few Relevant Questions and Answers Question: How many digits are there in the base/radix 9 number system?Answer: There are 9 digits in the base/radix 9 number system.Question: What is the largest digit in the base/radix…
In this article, we will discuss the representation of the following number systems Radix or Base of a Number System The number of independent digits used in the number system is known as Radix or Base of the number system. Positional or Weighted Number System The traditional number systems that we learned in school and…
In our day-to-day life, we generally use decimal number system for expressing any quantity. For example, when I go to an electronics shop for purchasing a mobile phone – I say that show me one good mobile phone in the range of Rs. 10,000/-. Here, ‘one’ and ‘10,000’ is the use of decimal number system….
The general-purpose digital computer is the best-known example of a digital system. Digital computers have been around since the 1940s, and have been in widespread commercial use since the 1960s. The most striking property of a digital computer is its generality. It can follow a sequence of instructions, called a program, that operates on given…