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Knowledge
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.
Sections
References
chapter 2 part A.pdfClass Notes
Memorization
What we have learnt
- The Binary Coded Decimal (B...
- Excess-3 code simplifies ar...
- Gray code minimizes errors ...
Final Test
Revision Tests
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
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Term: Binary Coded Decimal (BCD)
Definition: A method of encoding decimal numbers in binary form, where each digit of the decimal number is represented by its four-bit binary equivalent.
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Term: Excess3 Code
Definition: 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.
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Term: Gray Code
Definition: An unweighted binary code where two successive values differ by only one bit, reducing the likelihood of errors during transitions.