Indian Antiquary Vol 20

SR No.: 032512
Original Sutra Author: N/A
Author: John Faithfull Fleet, Richard Carnac Temple
Publisher: Swati Publications
Publication Year: 1984
Total Pages: 486
Language: English
Classification: Book_English
File Size: 21 MB

Page 72

62
THE INDIAN ANTIQUARY.
(FEBRUARY, 1891.
69
69
69
Example 2. Multiply 789 by 69. By following ont the processes explained above, in this case the processes, which would be actually shown by a Burman in succession, would be as follows: (a) 789, (6) 42789, (c) 42789, (d) 48389, (e) 48389, (1) 48389, (g) 42389, (h) 52389, 69 69 69
69 69 482
89 (1) 52189, (1) 58189, (k) 53189, (1) 53829, (m) 53829, (n) 53829, (o) 53329,
14 69 69
69
69 (P) 54329, (2) 54369, (r) 54369, (o) 54341, (1) 54441, (u) 54441.
69 69
69 Here then are 21 alterations of the ciphers before the result is arrived at. Demonstration by the European method :
789 69
• 72
81 69
69
7101 4794
28
54441.
Examplo 8. Multiply 448 by 874, The processes gone through are precisely those explained above, but care must be taken to observe the rule that the last cipher of the result wust be set down immediateiy sbene the multiplying cipher. Thus in commencing, the first process is shewn thps : (a) 56 748, and the successive steps of the second process, thus : (b) 569748, (c) 509748, 874
874 874 (d) 609748; and those of the third process thus : (0) 609748, (1) 609848, (g) 601848, 874
874
874. (A) 611848.
874 Similarly the remaining processes are shewn thus : (0) 611848, (1) 611848, (1) 643848.
874 32
874
874 (1) 643848, (m) 643648, (n) 646648, (o) 646648, (P) 646768, (q) 646768, (v) 646768,
3 874
16
874 874
874 (6) 646168, (0) 643168, (u) 653168, (v) 653168, (w) 653128, () 653728, (y) 653728. 874
874 874 874
874
874 (a) 653752, (aa) 653752.
874
Thus 27 alterations of the ciphers have to be gone through before the final result in arrived at. womonstration by the European method:
748 874
28 874
874
64
874
7
32
874
2992 5286 5984
658752.