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Numerical Computation NumericalNumerical MethodsNumerical Analysis Computation Numerical MethodsNumerical Analysis

Millennium

Bug

Millennium

Bug

• 20002000 September 24, 1978September 24,
• Bank AccountProfit as %age602.55565 Rupees0.00565x
• x 1,
• x 1,000,
• 5,650.
• Bank AccountProfit as %age602.55565 Rupees0.00565x
• x 1,
• x 1,000,
• 5,650.

IntroductionSolution of Non Linear Equations Solution of LinearSystem of EquationsApproximation of Eigen Values IntroductionSolution of Non Linear Equations Solution of LinearSystem of EquationsApproximation of Eigen Values

Interpolation and PolynomialApproximation Numerical DifferentiationNumerical IntegrationNumerical Solution of Ordinary DifferentialEquations Interpolation and PolynomialApproximation Numerical DifferentiationNumerical IntegrationNumerical Solution of Ordinary DifferentialEquations

In our daily l

ife, we use

numbers based onthe decimal system. In this system, we use ten symbols 0, 1,…,9and the number 10 iscalled the

base of

the system.

The number systemscommonly used incomputers areBase,

N^

Number

2

Binary

8

Octal

10

Decimal

16

Hexadecimal

An arbitrary realnumber,

a^ can be written as^

1 1 1

1

1

0

1 m^

m

m^

m m m

a^

a N

a^

N

a N

a^

a^ N a^

N

 

    ^

^

^

^

^

The decimal number 1729 isrepresented and calculated

3

2

1 0^1

0

(1 7 2 9 )

1 1 0

7 1 0

2 1 0

^ ^9 1 0

^

^



^

^



While

the

decimal

equivalent

of binary number 10011001 is

0

1

2 3

4

5

6

(^710) 1 2^

0 2

0 2 1 2^

1 2^

0 2

0 2

1 2^1

1

1 1 8

16 128

(1.1953125)

^

 ^

^



^

 ^  

   ^

 ^

 

 ^

   

^



