Arithmetic (5)

• Hexadecimal Arithmetic (Use Table 1.5)

  • Addition
    

1 0 1 1 Carries

5 B A 9 Augend

+ D 0 5 8 Addend

1 2 C 0 1 Sum

• Subtraction
  

9 10 A 10 Borrows

A 5 B 9 Minuend

+ 5 8 0 D Subtrahend

4 D A C Difference

• Series Substitution Method

  • Expanded form of polynomial representation:
    N = an-1rn-1 + … + a0r0 + a-1r-1 + … + a-mr-m (1.3)
    
  • Conversion Procedure (base A to base B)
    • Represent the number in base A in the format of Eq. 1.3.
    • Evaluate the series using base B arithmetic.
  • Examples:
  • (11010)2 ® ( ? )10
    
  • (627)8 ® ( ? )10

• (11110.101)2 ® ( ? )8
  
• (2AD.42)16 ® ( ? )10

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