2. Binary Codes - Part A - Digital Electronics - Vol 1
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2. Binary Codes - Part A

2. Binary Codes - Part A

The chapter discusses various binary coding systems, focusing on Binary Coded Decimal (BCD), Excess-3 code, and Gray code. It explains how these codes are utilized in representing decimal numbers, converting between binary and decimal forms, and includes methods for arithmetic operations using these codes. Additionally, it highlights advancements in binary coding that address complexities associated with traditional straight binary representations.

9 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 2
    Binary Codes

    This section explores various binary coding systems, highlighting their...

  2. 2.1
    Binary Coded Decimal

    Binary Coded Decimal (BCD) is a method of representing decimal numbers in...

  3. 2.1.1
    Bcd-To-Binary Conversion

    This section explains the conversion process from Binary Coded Decimal (BCD)...

  4. 2.1.2
    Binary-To-Bcd Conversion

    This section explains the process of converting binary numbers to Binary...

  5. 2.1.3
    Higher-Density Bcd Encoding

    Higher-density BCD encoding optimizes the representation of decimal numbers...

  6. 2.1.4
    Packed And Unpacked Bcd Numbers

    This section discusses the concepts of packed and unpacked BCD numbers,...

  7. 2.2
    Excess-3 Code

    The Excess-3 code is a binary-coded decimal that simplifies arithmetic...

  8. 2.3

    The Gray code is an unweighted binary code where two successive values...

  9. 2.3.1
    Binary–gray Code Conversion

    This section explains the process of converting binary numbers to Gray code,...

What we have learnt

  • The Binary Coded Decimal (BCD) represents decimal digits and allows easy conversion between binary and decimal forms.
  • Excess-3 code simplifies arithmetic operations by adding 3 to each decimal digit, making it useful in various calculations.
  • Gray code minimizes errors in digital systems as successive values differ by only one bit.

Key Concepts

-- Binary Coded Decimal (BCD)
A method of encoding decimal numbers in binary form, where each digit of the decimal number is represented by its four-bit binary equivalent.
-- Excess3 Code
A type of binary-coded decimal in which each decimal digit is represented by its binary equivalent after adding three to it, simplifying certain arithmetic operations.
-- Gray Code
An unweighted binary code where two successive values differ by only one bit, reducing the likelihood of errors during transitions.

Additional Learning Materials

Supplementary resources to enhance your learning experience.