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decimal value of the base 2 logarithm of the number. Table II gives 

 the arithmetic rules for the binary system and illustrates multiplication 

 in both systems. The binary arithmetic rules are easier and involve 

 fewer complex processes than decimal arithmetic. This simplicity is 

 obtained at the cost of larger number of digits. Although the decimal 

 system is more economical for writing and speaking, the binary system is 

 more satisfactory for electronic computers; it is the only system known 

 to be used along nerve fibers. 



Binary Arithmetic Rules 



0+1-1+0=1 0x0 = 



+ 0=0 0xl=0=lx 



1 + 1 = 10 1x1 = 1 



Same Multiplication 

 Decimal Binary 



535 1,000,010,111 



472 111,011,000 



1,070 0,000,000,000 



37,45 00,000,000,00 



214,0 000,000,000,0 



1,000,010,111 



252,520 10,000,101,11 



000,000,000,0 

 1,000,010,111 

 10,000,101,11 

 100,001,011,1 



111,101,101,001,101,000 



