Math Problem Statement
Convert BCD CODE 897to 84-2-1 Code
Solution
To convert the Binary-Coded Decimal (BCD) representation of into 8-4-2-1 code, let's go through each step in detail:
Step 1: BCD Representation of 897
In BCD, each decimal digit is represented by its 4-bit binary equivalent. Therefore:
- in BCD:
- in BCD:
- in BCD:
Thus, the BCD representation of is:
Step 2: Converting to 8-4-2-1 Code
Since BCD and 8-4-2-1 are identical encoding schemes (with weights of 8, 4, 2, and 1), each 4-bit binary group remains the same. Thus, each BCD group directly converts to 8-4-2-1 code without any changes.
Therefore, the 8-4-2-1 code for is:
Final Answer:
The 8-4-2-1 code for is .
Would you like more details on the BCD or 8-4-2-1 code system, or have any questions?
Related Questions
- What is the difference between BCD and other binary codes like Excess-3?
- How can we convert a number from binary to BCD directly?
- What is the purpose of BCD code in digital systems?
- How does 8-4-2-1 code differ from 7-4-2-1 code?
- How are non-decimal numbers (like hexadecimal) represented in BCD?
Tip: When converting between BCD and binary, remember that each decimal digit is separately encoded in 4 bits; this helps avoid errors in conversions.
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Math Problem Analysis
Mathematical Concepts
Binary Coded Decimal (BCD)
8-4-2-1 Code
Binary Encoding
Formulas
Each decimal digit is represented by its 4-bit binary equivalent in BCD and 8-4-2-1 Code
Theorems
-
Suitable Grade Level
Grades 9-12