Algorithms Adding and Subtracting Whole Numbers, Study notes of Mathematics

Download Algorithms Adding and Subtracting Whole Numbers and more Study notes Mathematics in PDF only on Docsity! Algorithms for Whole Numbers Addition and Subtraction Addition Algorithms 1, Concrete Model 123+58= a eg — (eo + Os .f a0 | ” fo Cs a aan oo oa je Qa ; ~——1 co a —= yuvds > Ooo a 2. ee Sonal [5 g 123+58= [1100+ 2°10 +3\+ [5 lO + | |- oo ¢ (At F/)lo t (3+8) | -|[-loot LID F [-10 4 _—_o -joot @ lor | =| = 18) 3. Standard Algorithm 123458 [| 4. Left-to-Right Algorithm 123+58= 124 100o 58 70 + lt] 1g | Addition subtraction in different base than 10 Addition Base 2 Addition Table t O { O|O 1 ;p {+ ° “td ' Jong! {0000 lt (1011001),+ (1000011),= (lo Ol oc), Toot do Subtraction Base 2 04 2 {1001100),-(1011),= (oooe oO \) 100 iY ° ° 2 - lo 1000001 (110))-(12211).= undahred (Wo). Wut WS Addition in Base 5 Addition Table (432)5+(124),= ( l { / 2. (222)¢(4444)¢= (I 022. - Subtraction in Base 5 (420)5-(32 ne(4 Ve (221)¢-(33)s= aszie(araye andbned | 10 1 2 2 4 o|e ! 2 i) 4 r | 2 3 4 oO 2\|2 9 4 O 4 31> 4 O 1 2. 4 uO } 2 3 hao ado any tga itd 1022! Other Bases (TTES):2+(9T8)12= G 874) 2 (756)s+{674)s= (e 52) ; (532) ¢H(112)¢= ( 043), (TETT)12-(9T98).2= {431)6(352)6= (2110);-(1001)3=