Enter the decimal digits in the thousands, hundreds, tens, and ones place into the calculator to determine the BCD equivalent.

Bcd (Binary Coded Decimal) Formula

The following formula is used to calculate the BCD (Binary Coded Decimal) equivalent of a decimal number. Variables: 

BCD = (D1 * 1000) + (D2 * 100) + (D3 * 10) + D4
  • BCD is the Binary Coded Decimal equivalent
  • D1, D2, D3, D4 are the decimal digits in the thousands, hundreds, tens, and ones place respectively

To calculate the BCD equivalent of a decimal number, multiply the digit in the thousands place by 1000, the digit in the hundreds place by 100, the digit in the tens place by 10, and the digit in the ones place by 1. Add all these results together to get the BCD equivalent.

What is a Bcd (Binary Coded Decimal)?

Binary Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight. It is a system of writing numbers that assigns a four-digit binary code to each digit 0 through 9 in a decimal (base-10) numeral. The four binary digits, in BCD, represent the decimal equivalent. BCD is used in digital systems where a numeric value is to be displayed, especially in systems where conversions to and from human-readable representations are necessary.

How to Calculate Bcd (Binary Coded Decimal)?

The following steps outline how to calculate the BCD (Binary Coded Decimal) using the given formula:

  1. First, determine the value of D1.
  2. Next, determine the value of D2.
  3. Next, determine the value of D3.
  4. Finally, determine the value of D4.
  5. After obtaining the values of D1, D2, D3, and D4, substitute them into the formula BCD = (D1 * 1000) + (D2 * 100) + (D3 * 10) + D4.
  6. Calculate the BCD using the formula.

Example Problem:

Use the following variables as an example problem to test your knowledge:

D1 = 1

D2 = 0

D3 = 1

D4 = 1

Substitute the values of D1, D2, D3, and D4 into the formula BCD = (D1 * 1000) + (D2 * 100) + (D3 * 10) + D4.

BCD = (1 * 1000) + (0 * 100) + (1 * 10) + 1

BCD = 1000 + 0 + 10 + 1

BCD = 1011