This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
0532_{16} = 0 5 3 2 = 0_{(=0000)} 5_{(=0101)} 3_{(=0011)} 2_{(=0010)} = 10100110010_{2}
answer: 0532_{16} = 10100110010_{2}
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙16^{3}+5∙16^{2}+3∙16^{1}+2∙16^{0} = 0∙4096+5∙256+3∙16+2∙1 = 0+1280+48+2 = 1330_{10}
got It: 0532_{16} =1330_{10}
Translate the number 1330_{10} в binary like this:
the Integer part of the number is divided by the base of the new number system:
1330  2           
1330  665  2          
0  664  332  2         
 1  332  166  2        
  0  166  83  2       
   0  82  41  2      
    1  40  20  2     
     1  20  10  2    
      0  10  5  2   
       0  4  2  2  
        1  2  1  
         0   

the result of the conversion was:
1330_{10} = 10100110010_{2}
answer: 0532_{16} = 10100110010_{2}