Xilinx RiscV Board Tutorial : Hexadecimal Number to BCD Code Conversion and Application – FIIPRX100 FPGA Board Experiment 8
Experiment 8 Hexadecimal Number to BCD Code Conversion and Application
1.Experiment Objective

 Since the hexadecimal display is not intuitive, decimal display is more widely used in real life.
 Human eye recognition is relatively slow, so the display from hexadecimal to decimal does not need to be too fast. Generally, there are two methods
 Countdown method: Under the control of the synchronous clock, the hexadecimal number is decremented by 1 until it is reduced to 0. At the same time, the appropriate BCD code decimal counter is designed to increment. When the hexadecimal number is reduced to 0, the BCD counter just gets with the same value to display.
 Bitwise operations (specifically, shift bits and plus 3 here). The implementation is as follows:
 Set the maximum decimal value of the expression. Suppose you want to convert the 16digit binary value (4digit hexadecimal) to decimal. The maximum value can be expressed as 65535. First define five fourdigit binary units: ten thousand, thousand, hundred, ten, and one to accommodate calculation results
 Shift the hexadecimal number by one to the left, and put the removed part into the defined variable, and judge whether the units of ten thousand, thousand, hundred, ten, and one are greater than or equal to 5, and if so, add the corresponding bit to 3 until the 16bit shift is completed, and the corresponding result is obtained.
Note: Do not add 3 when moving to the last digit, put the operation result directly



 The Principle of hexadecimal number to BCD number conversion


Suppose ABCD is a 4digit binary number (possibly ones, 10 or 100 bits, etc.), adjusts it to BCD code. Since the entire calculation is implemented in successive shifts, ABCDE is obtained after shifting one bit (E is from low displacement and its value is either 0 or 1). At this time, it should be judged whether the value is greater than or equal to 10. If so, the value is increased by 6 to adjust it to within 10, and the carry is shifted to the upper 4bit BCD code. Here, the premovement adjustment is used to first determine whether ABCD is greater than or equal to 5 (half of 10), and if it is greater than 5, add 3 (half of 6) and then shift.
For example, ABCD = 0110 (decimal 6)
 After shifting it becomes 1100 (12), greater than 1001 (decimal 9)
 By plus 0110 (decimal 6), ABCD = 0010, carry position is 1, the result is expressed as decimal
 Use preshift processing, ABCD = 0110 (6), greater than 5, plus 3
 ABCD=1001(9), shift left by one
 ABCD=0010, the shifted shift is the lowest bit of the high fourbit BCD.
 Since the shifted bit is 1, ABCD = 0010(2), the result is also 12 in decimal
 The two results are the same
 Firstly, make a judgement, and then add 3 and shift. If there are multiple BCD codes at the same time, then multiple BCD numbers all must first determine whether need to add 2 and then shift.
 The first way is relatively easy. Here, the second method is mainly introduced.
Example 1:
Fig 8. 1 Binary to decimal
Example 2:
Fig 8. 2 Hex to BCD

 Write a Verilog HDL to convert 16bit binary to BCD. (You can find reference in the project folder, HEX_BCD.v
`timescale 10ns/1ns
module HEX_BCD ( input [15:0] hex, output reg[3:0] ones=0, output reg[3:0] tens=0, output reg[3:0] hundreds=0, output reg[3:0] thousands=0, output reg[3:0] ten_thousands=0 ); reg [15:0] hex_reg; integer i; begin hex_reg =hex; Ones =0; Tens =0; Hundreds =0; Thousands =0; ten_thousands=0;
for (i=15;i>=0;i=i1)begin if(ten_thousands>=5) ten_thousands=ten_thousands+3;
if(thousands>=5) thousands=thousands+3;
if(hundreds>=5) hundreds=hundreds+3;
if(tens>=5) tens=tens+3;
if(ones>=5) ones=ones+3;
ten_thousands =ten_thousands<< 1;//Left shift operation ten_thousands[0]=thousands[3]; thousands =thousands<<1; thousands[0]=hundreds[3]; hundreds=hundreds<<1; hundreds[0]=tens[3]; tens=tens<<1; tens[0]=ones[3]; ones=ones<<1; ones[0]=hex_reg[15]; hex_reg={hex_reg[14:0],1’b0}; end end endmodule 

 Modelsim simulation
 Refer to last experiment for setting Modelsim
 Simulation result shown in Fig 8. 3.
 Modelsim simulation
Fig 8. 3 Simulation result for Hex to BCD

 Remark
The assignment marks for the examples above are “=” instead of “<=”. Why?
Since the whole program is designed to be combinational logic, when invoking the modules, the other modules should be synchronized the timing.
2.Application of Hexadecimal Number to BCD Number Conversion
 Continue to complete the multiplier of experiment 7 and display the result in segment decoders in decimal. The code is as follows:
module mult_sim(
input rst, input inclk, input [7:0] sw, output reg[6:0] seven_sega, output reg[5:0] scan ); wire [15:0] mult_res; wire sys_clk; wire sys_rst; wire us_f; wire ms_f; wire s_f; reg [7:0] count; reg [3:0] counta; reg [6:0] seven_seg_ra; wire [3:0] ones; wire [3:0] tens; wire [3:0] hundreds; wire [3:0] thousands; wire [3:0] ten_thousands; reg [3:0] ones_r; reg [3:0] tens_r; reg [3:0] hundreds_r; reg [3:0] thousands_r; reg [3:0] ten_thousands_r; [email protected](posedge sys_clk) if(sys_rst) begin count <=0; ones_r <=0; tens_r <=0; hundreds_r<=0; thousands_r<=0; ten_thousands_r<=0; end else if(s_f) begin count<=count+1; ones_r <=ones; tens_r <=tens; hundreds_r<=hundreds; thousands_r<=thousands; ten_thousands_r<=ten_thousands; end reg ext_rst; [email protected](posedge sys_clk) ext_rst<=rst; reg [2:0] scan_st;
[email protected](posedge sys_clk) if(!ext_rst) begin scan<=6’b11_1111; counta<=4’b0; scan_st<=0; end else case(scan_st) 0:begin scan<=6’b11_1110; counta<=ones_r; if(ms_f) scan_st<=1; end 1:begin scan<=6’b11_1101; counta<=tens_r; if(ms_f) scan_st<=2; end 2:begin scan<=6’b11_1011; counta<=hundreds_r; if(ms_f) scan_st<=3; end 3:begin scan<=6’b11_0111; counta<=thousands_r; if(ms_f) scan_st<=4; end 4:begin scan<=6’b10_1111; counta<=ten_thousands_r; if(ms_f) scan_st<=5; end 5:begin scan<=6’b01_1111; counta<=0; if(ms_f) scan_st<=0; end default:scan_st<=0; endcase
case(counta) 0:seven_seg_ra<=7’b100_0000; 1:seven_seg_ra<=7’b111_1001; 2:seven_seg_ra<=7’b010_0100; 3:seven_seg_ra<=7’b011_0000; 4:seven_seg_ra<=7’b001_1001; 5:seven_seg_ra<=7’b001_0010; 6:seven_seg_ra<=7’b000_0010; 7:seven_seg_ra<=7’b111_1000; 8:seven_seg_ra<=7’b000_0000; 9:seven_seg_ra<=7’b001_0000; default:seven_seg_ra<=7’b100_0000; endcase [email protected](posedge sys_clk) seven_sega<=seven_seg_ra;
lpm_mult8x8 lpm_mult8x8_inst ( .CLK(inclk), // input wire CLK .A(sw), // input wire [7 : 0] A .B(count), // input wire [7 : 0] B .P(mult_res) // output wire [15 : 0] P ); pll_sys_rst pll_sys_rst_inst ( .clk_in (inclk), .sys_clk (sys_clk), .sys_rst (sys_rst), .BCD_clk ( ) ); us_ms_s_div us_ms_s_div_inst ( .sys_rst (sys_rst), .sys_clk (sys_clk), .us_f (us_f), .ms_f (ms_f), .s_f (s_f) ); HEX_BCD HEX_BCD_inst ( .hex (mult_res), .ones (ones), .tens (tens), .hundreds (hundreds), .thousands (thousands), .ten_thousands (ten_thousands) ); endmodule 
 After completing the implementation process, click Open Implementation Design as shown in Fig 8. 4. Observe the Report Timing Summary and view the circuit timing report.
Fig 8. 4 Timing report check
The result is shown in Fig 8. 5.
Fig 8. 5 Timing report
It satisfies the timing requirement.
 Pin assignment
Signal Name  Port Description  Network Label  FPGA Pin 
inclk  System clock, 50 MHz  C10_50MCLK  U22 
rst  Reset, high by default  KEY1  M4 
seven_sega[0]  Segment a  SEG_PA  K26 
seven_sega[1]  Segment b  SEG_PB  M20 
seven_sega[2]  Segment c  SEG_PC  L20 
seven_sega[3]  Segment d  SEG_PD  N21 
seven_sega[4]  Segment e  SEG_PE  N22 
seven_sega[5]  Segment f  SEG_PF  P21 
seven_sega[6]  Segment g  SEG_PG  P23 
seven_sega[7]  Segment h  SEG_DP  P24 
scan[0]  Segment 6  SEG_3V3_D5  T24 
scan[1]  Segment 5  SEG_3V3_D4  R25 
scan[2]  Segment 4  SEG_3V3_D3  K25 
scan[3]  Segment 3  SEG_3V3_D2  N18 
scan[4]  Segment 2  SEG_3V3_D1  R18 
scan[5]  Segment 1  SEG_3V3_D0  R6 
sw[0]  Swicth input  GPIO_DIP_SW0  N8 
sw[1]  Swicth input  GPIO_DIP_SW1  M5 
sw[2]  Swicth input  GPIO_DIP_SW2  P4 
sw[3]  Swicth input  GPIO_DIP_SW3  N4 
sw[4]  Swicth input  GPIO_DIP_SW4  U6 
sw[5]  Swicth input  GPIO_DIP_SW5  U5 
sw[6]  Swicth input  GPIO_DIP_SW6  R8 
sw[7]  Swicth input  GPIO_DIP_SW7  P8 
 Compile, and download the program to the board. The test result is shown below:
Fig 8. 6 Hex to BCD result
3.Experiment Reflection

 How to implement BCD using more than 16bits binarynumbers
 How to handle an asychrounus clock
 Learn how to design circuits that meet timing requirements based on actual needs