What is the binary representation of the decimal number 156 in 8421 BCD?

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The binary representation of the decimal number 156 in 8421 BCD (Binary Coded Decimal) involves converting each digit of the decimal number into its corresponding 4-bit binary form.

The decimal number 156 consists of the digits 1, 5, and 6. Each of these digits is converted separately into binary:

  • The digit "1" in binary is represented as 0001.

  • The digit "5" in binary is represented as 0101.

  • The digit "6" in binary is represented as 0110.

When combined, you write each 4-bit binary representation side by side for BCD. Therefore, the complete binary representation of the decimal number 156 in 8421 BCD is:

  • For 1: 0001

  • For 5: 0101

  • For 6: 0110

Putting these together results in: 0001 0101 0110. This matches the first choice, confirming that it is the correct representation of the decimal number 156 in BCD format.

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