Base Conversion (1)
Series Substitution Method
- Expanded form of polynomial representation:
N = an-1rn-1 + … + a0r0 + a-1r-1 + … + a-mr-m (1.3)
- Conversation 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
N = 1´24 + 1´23 + 0´22 + 1´21 + 0´20
= (16)10 + (8)10 + 0 + (2)10 + 0
= (26)10
- (627)8 ® ( ? )10
N = 6´82 + 2´81 + 7´80
= (384)10 + (16)10 + (7)10
= (407)10