CS 3351 DIGITAL PRINCIPLES AND COMPUTER ORGANIZATION - CODE CONVERTERS

In digital computers, numbers are represented either in binary or decimal using a binary code. While users typically provide data in decimal form, the computer internally stores these decimal numbers through a decimal code, with each digit requiring at least four binary storage elements. For arithmetic operations, decimal numbers are usually converted to binary, as operations are performed in binary internally. However, it's also possible to carry out arithmetic directly in decimal form, using a specific code such as Biquinary where the numbers remain in coded form throughout the process.
A BCD (Binary-Coded Decimal) to Gray code converter transforms a decimal number represented in BCD into its equivalent Gray code. BCD represents each decimal digit as a four-bit binary number, while Gray code is a binary numeral system where two successive values differ in only one bit. The conversion process involves applying a specific algorithm or logic circuit that ensures minimal bit changes between adjacent decimal values, reducing errors in digital systems like encoders or communication systems. This conversion is crucial in applications where precision and error minimization are important.
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