vedic mathematics- below base multiplication
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Below Base Multiplication
Vedic MathematicsCultural Computing Initiatives
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MultiplicationMultiplicationSutra: Sutra: “Urdhva-tiryagbhyam” “Urdhva-tiryagbhyam”
(Vertically & Cross-Wise)(Vertically & Cross-Wise)
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Algorithm
Answer is divided into 2 parts (Right & Left)
Select the base which is close to number.
Find deviation d1=Multiplicand-based2=Multiplier-base
RP is multiplication of deviation ie:d1xd2
LP is addition of multiplicand & d2 OR multiplier & d1
Note: Number of digit in RP=#zeros in base• If less then insert zero’s to the left of the number.
• If more then & add to the LP
• If RP is (-)ve, take complement &less 1 from LP after adjust the digit
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Find 9 x 8 Base=10
9 1 = d1
8x
2 d2=
27
d1xd2
9+2 OR
8+1=7
Note: Base=10, So only one digit is allowed in RP
Below the Base:
Ans: 72
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Find 6 x 7 Base=10
6 4 = d1
7x
3 d2=
123
d1xd2
6+3 OR 7+4
Note: Base=10, So only one digit is allowed in RP
3+1=4
2Ans: 42
4
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Find 98 x 97 Base=100
98 02 =d1
97x
03 d2=
095
LP=98+03=95
Note: Base=100, So two digit is allowed in RP
RP=02x03=6
LP=97+02=95
OROR
o is o is adjusted to adjusted to
66
Ans: 9506
6
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Find 94 x 97 Base=100
94 06 =d1
97x
03 d2=
1891
LP=94+03=91
Note: Base=100, So only two digit is allowed in RP
RP=06x03=18
LP=97+06=91
OROR
Ans: 9118
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Find 85 x 88 Base=100
85 15 =d1
88x
12 d2=
18073
LP=85+12=73
Note: Base=100, So only two digit is allowed in RP
RP=15x12=180
LP=88+15=73
OROR
1 is added 1 is added to LPto LP
Ans: 7480
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Find 996 x 998 Base=1000
996 004998
x002
00994
Note: Base=1000, So only three digit is allowed in RP
RP= 004 x 002 = 8
LP= 996 + 002 = 994
RP is adjusted by two zero
Ans: 994008
8
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Find 994 x 992 Base=1000
994 006992
x008
48986
Note: Base=1000, So only three digit is allowed in RP
RP= 006 x 008 = 48
LP= 994 + 008 = 986
RP is adjusted by one zero
Ans: 986048
0
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Find 985 x 991Base=1000
985 015991
x009
135976
Note: Base=1000, So only three digit is allowed in RP
RP= 015 x 009 = 135
LP= 985 + 009 =976
Ans: 976135
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Find 975 x 950 Base=1000
975 025950
x050
1250925
Note: Base=1000, So only three digit is allowed in RP
RP= RP= 025 x 050025 x 050= 1250= 1250
LP= 975+LP= 975+050050 +1=9 2 6 +1=9 2 6
(But RP should have only 3 (But RP should have only 3 digit, So extra digit is carry& digit, So extra digit is carry& added to LP)added to LP)
Ans: 926250
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