Math Problem Statement

Convert BCD CODE 897to 84-2-1 Code

Solution

To convert the Binary-Coded Decimal (BCD) representation of 897897 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:

  • 88 in BCD: 10001000
  • 99 in BCD: 10011001
  • 77 in BCD: 01110111

Thus, the BCD representation of 897897 is: 1000100101111000 \, 1001 \, 0111

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 897897 is: 1000100101111000 \, 1001 \, 0111

Final Answer:

The 8-4-2-1 code for 897897 is 1000100101111000 \, 1001 \, 0111.

Would you like more details on the BCD or 8-4-2-1 code system, or have any questions?


Related Questions

  1. What is the difference between BCD and other binary codes like Excess-3?
  2. How can we convert a number from binary to BCD directly?
  3. What is the purpose of BCD code in digital systems?
  4. How does 8-4-2-1 code differ from 7-4-2-1 code?
  5. 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

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Suitable Grade Level

Grades 9-12