The above logic is a single digit Binary to BCD converter, contained in the binarytobcddigit.vhd file. The higher level binarytobcd.vhd file instantiates one of these single digit converters for each digit of the BCD output and cascades them together to form a multi-digit Binary to BCD converter. Purchase your FPGA/SoC Development Board here: to Binary Coded Decimal (BCD) is part of series known as Xilinx FPGA Programming. Binary Coded Decimal (BCD) is used to represent binary numbers using the decimal system. Often calculations are performed in binary and then converted to BCD to display on LCDs. Each decimal digit has a 4-bit binary representation. Since there are ten decimal digits (0-9), there are ten different binary representations. The Binary to BCD Converter is used to convert a binary (Base-2) number to a BCD (Binary-coded decimal). Binary to BCD in verilog for FPGA. Between Verilog/SPICE/MATLAB, most design work in EE is done with computers.
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
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
Free user manual for 570 redball sprayer. 2. Now, we convert the decimal to the BCD
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: Canada license plate search.
(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: Funny ragdoll games unblocked.
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 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:
(00101000)BCD = (11100)2
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:
(00101000)BCD = (11100)2
4 bit binary to gray counter converter HDL Verilog Code
This page of verilog sourcecode covers 4 Bit Binary to Gray Counter Converter using verilog.
Symbol
Following is the symbol and truth table of 4 bit binary to gray counter converter.
Binary To Bcd Verilog
Truth Table
Binary To Bcd Converter Verilog
Rst | Clk | En | B3 | B2 | B1 | B0 | G3 | G2 | G1 | G0 |
---|---|---|---|---|---|---|---|---|---|---|
1 | X | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 |
0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 |
0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 |
0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |
0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
Verilog code
module b2g(b,g);
input [3:0] b;
output [3:0] g;
xor (g[0],b[0],b[1]),
(g[1],b[1],b[2]),
(g[2],b[2],b[3]);
assign g[3]=b[3];
end module