Filter Design Toolbox

bin2num

Convert a two's complement binary string to a number

Syntax

• y = bin2num(q,b)
  

Description

y = bin2num(q,b) uses the properties of quantizer q to convert binary string b to numeric array y. When b is a cell array containing binary strings, y will be a cell array of the same dimension containing numeric arrays. The fixed-point binary representation is two's complement. The floating-point binary representation is in IEEE Standard 754 style.

bin2num and num2bin are inverses of one another. Note that num2bin always returns columnwise.

Examples

Create a quantizer and an array of numeric strings. Convert the numeric strings to binary strings, then use bin2num to convert them back to numeric strings.

• q=quantizer([4 3]); 
  [a,b]=range(q); 
  x=(b:-eps(q):a)'; 
  b = num2bin(q,x) 
  
  b = 
  
  0111    
  0110    
  0101    
  0100    
  0011    
  0010    
  0001    
  0000    
  1111    
  1110    
  1101    
  1100    
  1011    
  1010    
  1001    
  1000    
  

bin2num performs the inverse operation of num2bin.

• y=bin2num(q,b) 
  
  y = 
  
      0.8750 
      0.7500 
      0.6250 
      0.5000 
      0.3750 
      0.2500 
      0.1250 
           0 
     -0.1250 
     -0.2500 
     -0.3750 
     -0.5000 
     -0.6250 
     -0.7500 
     -0.8750 
     -1.0000 
  

See Also
num2bin

allpassshiftc

ca2tf