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How to Decode Binary Numbers

September 13, 2023 by admin Category: How To

You are viewing the article How to Decode Binary Numbers  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

Binary numbers are a fundamental concept in computer science, and understanding how to decode them is crucial for anyone working with computers or technology. Unlike our everyday decimal system, which uses ten digits (0-9), binary is a base-2 numeral system that consists of only two digits, 0 and 1. Each digit represents a power of two, and when combined, they create a unique value. Decoding binary numbers involves converting these combinations of 0s and 1s into their corresponding decimal values, enabling us to comprehend and work with information stored in binary format. This guide will provide a step-by-step explanation of how to decode binary numbers, allowing you to unlock the hidden information within them.

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Deciphering a binary sequence of 1s and 0s is a daunting task. However, with a little logic you can decode binary numbers. Humans have adapted to the decimal system (the basic ten number system) simply because we have ten fingers. Computers only have two “fingers” which are 1 and 0 (yes, no or true, false). Therefore, the binary system (the basic two-number system) was born. [1] X Research Source

Table of Contents

  • Steps
    • By exponent
    • Another spelling of the exponent
    • Distance value
  • Advice
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Steps

By exponent

Find the binary number you want to convert. We have the following example: 101010 .
Multiply each binary character by 2 exponents ‘x’, where ‘x’ is the row number of the corresponding binary character. [2] X Research Source Remember: the binary system is analyzed from right to left . [3] X Research Source 0. From the rightmost row 0. [4] X Research Source
Add all the results together. Do it from right to left.

  • 0 × 2 0 = 0
  • 1 × 2 1 = 2
  • 0 × 2 2 = 0
  • 1 × 2 3 = 8
  • 0 × 2 4 = 0
  • 1 × 2 5 = 32
  • Total = 42

Another spelling of the exponent

Choose a binary number. Here we have 101 . This method is similar to the above, only slightly different in writing, even easier to understand.

  • 101= (1X2) to 2 + (0X2) to 1 + (1X2) to 0
  • 101= (2X2) + (0X0) + (1)
  • 101= 4 + 0 + 1
  • 101= 5
    • ‘0’ is not a number, it represents a value that needs attention.

Distance value

Find binary numbers. We have for example 00101010 .
Decode from right to left. For each distance, the value will be doubled. The first character from the right has the value 1, the second is 2, the next is 4, and so on. [5] X Research Sources
Adds all values of 1s. Zeros are also correlated but will not be added.

  • So, in this example 2 + 8 + 32 = 42.
    • After doubling, we get a value of ‘false’ at 1, ‘true’ at 2, ‘false’ at 4, ‘true’ at 8, ‘false’ at 16, ‘true’ at 32, ‘false’ at 64 and ‘false’ at 128. Add the “true” values and ignore the “false” values until the last character.
  • Decode the value into letters or punctuation. In addition, you can convert numbers from binary to decimal or vice versa.

    • In punctuation marks, 42 is the asterisk (*). You can see the decoder table here.
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  • Advice

    • Binary numbers are just like any other regular number. The rightmost numeric character increments by 1 until it can no longer be incremented (in this case from 0 to 1), the next numeric character on the left also increments by 1 and starts over at 0.
    • The numbers we calculate today all have place symbols. Assuming you’re working with an integer, the rightmost numeric character is the units row, the next numeric character is tens, then hundreds, and so on. The positional notation of the binary number will be calculated from the first, second, third, fourth, five, six, seven, eight, and so on. [6] X Research Source
    X

    wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 47 people, some of whom are anonymous, have edited and improved the article over time.

    This article has been viewed 65,025 times.

    Deciphering a binary sequence of 1s and 0s is a daunting task. However, with a little logic you can decode binary numbers. Humans have adapted to the decimal system (the basic ten number system) simply because we have ten fingers. Computers only have two “fingers” which are 1 and 0 (yes, no or true, false). Therefore, the binary system (the basic two-number system) was born. [1] X Research Source

    In conclusion, decoding binary numbers is a fundamental skill within the realm of computer science and digital technology. By understanding the binary number system and applying simple rules, such as the positional value of each digit, one can easily translate binary code into its corresponding decimal counterpart. This knowledge is not only important for computer programmers and engineers, but it can also be valuable for individuals interested in understanding the inner workings of modern devices and systems. Moreover, the ability to decode binary numbers allows individuals to understand and appreciate the binary language that underlies all digital information and computations. Whether it is for educational purposes, professional development, or personal interest, mastering the art of decoding binary numbers is a skill that opens doors to the fascinating world of digital technology.

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