Understanding The Process Of Converting Bcd To Binary

Understanding the Process of Converting BCD to Binary

Introduction

BCD, or Binary Coded Decimal, is a way of representing numbers using a binary code where each decimal digit is represented by a four-bit binary number. Binary code, on the other hand, is a way of representing numbers using only two digits, 0 and 1. Converting from BCD to binary involves taking each decimal digit from the BCD code and translating it into a four-bit binary number. In this article, we'll look at how to convert BCD 0001 0010 0110 to binary.

Understanding BCD and Binary

Before we get into the process of converting BCD to binary, let's take a closer look at what BCD and binary are.

Binary Coded Decimal (BCD)

Binary Coded Decimal (BCD) is a way of representing numbers using a binary code where each decimal digit is represented by a four-bit binary number. BCD is a type of binary code that is used in computers and digital systems to represent numbers. BCD is composed of two types of bits, which are 0 and 1. Each bit represents a decimal digit, with 0 representing the digit 0, and 1 representing the digit 1.

Binary

Binary is a way of representing numbers using only two digits, 0 and 1. It is the base-2 number system, which means that each digit can take on two values, 0 or 1. Binary is used in digital systems and computers, as it is easy for computers to understand and interpret binary numbers.

Converting BCD to Binary

Now that you understand the basics of BCD and binary, let's look at how to convert BCD 0001 0010 0110 to binary. The first step is to break down the BCD code into four-bit binary numbers. The BCD code 0001 0010 0110 can be broken down into the following four-bit binary numbers: 0001 = 0000 0001
0010 = 0000 0010
0110 = 0000 0110 The next step is to convert each of the four-bit binary numbers above into their decimal equivalent. The decimal equivalent of 0000 0001 is 1, 0000 0010 is 2, and 0000 0110 is 6. Once you have the decimal equivalents of the BCD code, the next step is to convert the decimal equivalents into binary numbers. The binary equivalent of 1 is 0001, the binary equivalent of 2 is 0010, and the binary equivalent of 6 is 0110. Therefore, the binary equivalent of the BCD code 0001 0010 0110 is 0001 0010 0110.

Conclusion

In this article, we looked at how to convert BCD 0001 0010 0110 to binary. We began by breaking down the BCD code into four-bit binary numbers, then we converted each of the four-bit binary numbers into their decimal equivalents. Finally, we converted the decimal equivalents into their binary equivalents. By following the steps outlined in this article, you should now be able to easily convert BCD

Dated : 01-Feb-2023

Category : Education

Tags : Computer Science