[SOLVED] How to convert angle to binary representation during writing of verilog code for CORDIC algorithm?

[ryan1122]

Hi,
I am writing the verilog code for CORDIC (COordinate Rotation DIgital Computer) in xilinx vivado. For that I need 45, 26.565 degree rotation angle in 32-bit binary form. After searching in the internet I got 45 degree angle can be represented as

assign z[00] = 'b00100000000000000000000000000000;

and 26.565 degree angle can be represented as

assign z[01] = 'b00010010111001000000010100011101;

Can anybody explain to me how they are representing the 45 degree and 26.565 degree angle in binary form? Is there any formula behind it?

 

[kaz1]

Hi,
I am writing the verilog code for CORDIC (COordinate Rotation DIgital Computer) in xilinx vivado. For that I need 45, 26.565 degree rotation angle in 32-bit binary form. After searching in the internet I got 45 degree angle can be represented as

assign z[00] = 'b00100000000000000000000000000000;

and 26.565 degree angle can be represented as

assign z[01] = 'b00010010111001000000010100011101;

Can anybody explain to me how they are representing the 45 degree and 26.565 degree angle in binary form? Is there any formula behind it?

bin2dec('00100000000000000000000000000000')/2^32
= 0.12500 %fraction of full circle
convert to degrees
bin2dec('00100000000000000000000000000000')/2^32*360 = 45

similarly:
bin2dec('00010010111001000000010100011101')/2^32*360
= 26.565

by the way xilinx have ip for cordic I believe.