BCD code plays an important role in digital circuits. The BCD stands for Binary Coded Decimal Number. In BCD code, each digit of the decimal number is represented as its equivalent binary number. So, the LSB and MSB of the decimal numbers are represented as its binary numbers. There are the following steps to convert the binary number to BCD:

First, we will convert the binary number into decimal.
We will convert the decimal number into BCD.

Let's take an example to understand the process of converting a binary number into BCD

Module binarytoBCD (indata, ones, tens, hundreds) input. Binary to Bcd with Verilog. The code was simulated using Xilinx ISE 14.6 tool. The following waveform verifies the correctness of both the designs. The output of binary to gray module is connected as input of gray to binary converter. As you can see the bin and binout signals are the same. This verifies that the codes are working well.

Code conversion using verilog code VHDL 1. Experiment 7 Name: Shyamveer Singh Reg: 11205816 Roll no:B54 Aim: Write a verilog code for the code conversion, binary to gray, Theory: BINARY code is a way of representing the text or the data generated by the computers and other devices.
The Verilog and VHDL code below is for an 8-bit binary to BCD decoder that gives and ones, tens and hundreds decimal place output for driving a display or other device. The modules below take a 8-bit binary number on the number input and converts that number into three 4-bit BCD numbers, one for each decimal place.

Example 1: (11110)₂

1. First, convert the given binary number into a decimal number.

Binary Number: (11110)₂

Finding Decimal Equivalent of the number:

Steps	Binary Number	Decimal Number
1)	(11110)₂	((1 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (0 × 2⁰))₁₀
2)	(11110)₂	(16 + 8 + 4 + 2 + 0)₁₀
3)	(11110)₂	(30)₁₀

Decimal number of the Binary number (11110)₂ is (30)₁₀

2. Now, we convert the decimal to the BCD

Convert Binary To Bcd Verilog

We convert each digit of the decimal number into groups of the four-bit binary number.

Steps	Decimal Number	Conversion
Step 1	30₁₀	(0011)₂ (0000)₂
Step 2	30₁₀	(00110000)_BCD

Result:

(11110)₂ = (00110000)_BCD

Below is the table that contains the BCD code of the decimal and binary number.

Binary Code	Decimal Number	BCD Code
A B C D	B₄ :B₃B₂B₁B₀
0 0 0 0	0	0 : 0 0 0 0
0 0 0 1	1	0 : 0 0 0 1
0 0 1 0	2	0 : 0 0 1 0
0 0 1 1	3	0 : 0 0 1 1
0 1 0 0	4	0 : 0 1 0 0
0 1 0 1	5	0 : 0 1 0 1
0 1 1 0	6	0 : 0 1 1 0
0 1 1 1	7	0 : 0 1 1 1
1 0 0 0	8	0 : 1 0 0 0
1 0 0 1	9	0 : 1 0 0 1
1 0 1 0	10	1 : 0 0 0 0
1 0 1 1	11	1 : 0 0 0 1
1 1 0 0	12	1 : 0 0 1 0
1 1 0 1	13	1 : 0 0 1 1
1 1 1 0	14	1 : 0 1 0 0
1 1 1 1	15	1 : 0 1 0 1

In the above table, the most significant bit of the decimal number is represented by the bit B4, and the least significant bits are represented by B3, B2, B1, and B0. From the above table, we can express the SOP function for different bits of BCD code are as follows:

The K-maps of the above SOP functions are as follows:

BCD to Binary Conversion

The process of converting BCD code into Binary is opposite to the process of converting Binary code into BCD. There are the following steps to convert the BCD code into Binary:

In the first step, we will convert the BCD number into a decimal by making the four-bit groups and finding the equivalent decimal number for each group.

In the last step, we will convert Shaders for minecraft windows 10 1 14. a decimal number into Binary using the process of converting decimal to binary number.

Example 1: (00101000)_BCD

1) Convert BCD to Decimal

Make the groups of 4 digits and find the equivalent decimal number as:

Steps	BCD Number	Conversion
Step 1	(00101000)_BCD	(0010)₂ (1000)₂
Step 2	(00101000)_BCD	(2)₁₀ (8)₁₀
Step 3	(00101000)_BCD	(28)₁₀

The decimal number of the given BCD code is: (28)₁₀

2. Convert Decimal to Binary

Use the long division method to convert the decimal number into a binary number as:

Steps	Operation	Result	Remainder
1.	28 / 2	14	0
2.	14 / 2	7	0
3.	7 / 2	3	1
4.	3 / 2	1	1
5.	1 / 2	0	1

Arrange the remainders in the reverse order. So, the LSB of the binary number is the first remainder, and the MSB of the binary number is the last remainder.

The binary number of the decimal number (18)₁₀ is: (11100)₂

Result:

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Example 1: (11110)2

Convert Binary To Bcd Verilog

BCD to Binary Conversion

Example 1: (11110)₂