# Add-in Functions, List of Analysis Functions Part One

## BESSELI

Calculates the modified Bessel function of the first kind In(x).

### Syntax

BESSELI(X; N)

X is the value on which the function will be calculated.

N is a positive integer (N >= 0) representing the order of the Bessel function In(x)

### Examples

=BESSELI(3.45, 4), returns 0.651416873060081

=BESSELI(3.45, 4.333), returns 0.651416873060081, same as above because the fractional part of N is ignored.

=BESSELI(-1, 3), returns -0.022168424924332

## BESSELJ

Calculates the Bessel function of the first kind Jn(x) (cylinder function).

### Syntax

BESSELJ(X; N)

X is the value on which the function will be calculated.

N is a positive integer (N >= 0) representing the order of the Bessel function Jn(x)

### Examples

=BESSELJ(3.45, 4), returns 0.196772639864984

=BESSELJ(3.45, 4.333), returns 0.196772639864984, same as above because the fractional part of N is ignored.

=BESSELJ(-1, 3), returns -0.019563353982668

## BESSELK

Calculates the modified Bessel function of the second kind Kn(x).

### Syntax

BESSELK(X; N)

X is the strictly positive value (X > 0) on which the function will be calculated.

N is a positive integer (N >= 0) representing the order of the Bessel function Kn(x)

### Examples

=BESSELK(3.45, 4), returns 0.144803466373734

=BESSELK(3.45, 4.333), returns 0.144803466373734, same as above because the fractional part of N is ignored.

=BESSELK(0, 3), returns Err:502 – invalid argument (X=0)

## BESSELY

Calculates the Bessel function of the second kind Yn(x).

### Syntax

BESSELY(X; N)

X is the strictly positive value (X > 0) on which the function will be calculated.

N is a positive integer (N >= 0) representing the order of the Bessel function Yn(x)

### Examples

=BESSELY(3.45, 4), returns -0.679848116844476

=BESSELY(3.45, 4.333), returns -0.679848116844476, same as above because the fractional part of N is ignored.

=BESSELY(0, 3), returns Err:502 – invalid argument (X=0)

## BIN2DEC

The result is the decimal number for the binary number entered.

### Syntax

BIN2DEC(Number)

Number is a binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.

### Example

=BIN2DEC(1100100) returns 100.

## BIN2HEX

The result is the hexadecimal number for the binary number entered.

### Syntax

BIN2HEX(Number; Places)

Number is a binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.

Places means the number of places to be output.

### Example

=BIN2HEX(1100100;6) returns the text string 000064.

## BIN2OCT

The result is the octal number for the binary number entered.

### Syntax

BIN2OCT(Number; Places)

Number is a binary number. The number can have a maximum of 10 places (bits). The most significant bit is the sign bit. Negative numbers are entered as two's complement.

Places is the number of places to be output.

### Example

=BIN2OCT(1100100;4) returns the text string 0144.

## DEC2BIN

The result is the binary number for the decimal number entered between -512 and 511.

### Syntax

DEC2BIN(Number; Places)

Number is a decimal number. If Number is negative, the function returns a binary number with 10 characters. The most significant bit is the sign bit, the other 9 bits return the value.

Places is the number of places to be output.

### Example

=DEC2BIN(100;8) returns the text string 01100100.

## DEC2HEX

The result is the hexadecimal number for the decimal number entered.

### Syntax

DEC2HEX(Number; Places)

Number is a decimal number. If Number is negative, the function returns a hexadecimal number with 10 characters (40 bits). The most significant bit is the sign bit, the other 39 bits return the value.

Places is the number of places to be output.

### Example

=DEC2HEX(100;4) returns the text string 0064.

## DEC2OCT

The result is the octal number for the decimal number entered.

### Syntax

DEC2OCT(Number; Places)

Number is a decimal number. If Number is negative, the function returns an octal number with 10 characters (30 bits). The most significant bit is the sign bit, the other 29 bits return the value.

Places is the number of places to be output.

### Example

=DEC2OCT(100;4) returns the text string 0144.

## DELTA

The result is TRUE (1) if both numbers, which are delivered as an argument, are equal, otherwise it is FALSE (0).

### Syntax

DELTA(Number1; Number2)

### Example

=DELTA(1;2) returns 0.

## ERF

Returns values of the Gaussian error integral.

### Syntax

ERF(LowerLimit; UpperLimit)

LowerLimit is the lower limit of the integral.

UpperLimit (optional) is the upper limit of the integral. If this parameter is omitted, the calculation takes places between 0 and the lower limit.

### Example

=ERF(0;1) returns 0.842701.

## ERF.PRECISE

Returns values of the Gaussian error integral between 0 and the given limit.

### Syntax

ERF.PRECISE(LowerLimit)

LowerLimit is the limit of the integral. The calculation takes places between 0 and this limit.

### Example

=ERF.PRECISE(1) returns 0.842701.

## ERFC

Returns complementary values of the Gaussian error integral between x and infinity.

### Syntax

ERFC(LowerLimit)

LowerLimit is the lower limit of the integral

### Example

=ERFC(1) returns 0.157299.

## ERFC.PRECISE

Returns complementary values of the Gaussian error integral between x and infinity.

### Syntax

ERFC.PRECISE(LowerLimit)

LowerLimit is the lower limit of the integral

### Example

=ERFC.PRECISE(1) returns 0.157299.

## GESTEP

The result is 1 if Number is greater than or equal to Step.

### Syntax

GESTEP(Number; Step)

### Example

=GESTEP(5;1) returns 1.

## HEX2BIN

The result is the binary number for the hexadecimal number entered.

### Syntax

HEX2BIN(Number; Places)

Number is a hexadecimal number or a string that represents a hexadecimal number. It can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement.

Places is the number of places to be output.

### Example

=HEX2BIN("6a";8) returns 01101010.

## HEX2DEC

The result is the decimal number for the hexadecimal number entered.

### Syntax

HEX2DEC(Number)

Number is a hexadecimal number or a string that represents a hexadecimal number. It can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement.

### Example

=HEX2DEC("6a") returns 106.

## HEX2OCT

The result is the octal number for the hexadecimal number entered.

### Syntax

HEX2OCT(Number; Places)

Number is a hexadecimal number or a string that represents a hexadecimal number. It can have a maximum of 10 places. The most significant bit is the sign bit, the following bits return the value. Negative numbers are entered as two's complement.

Places is the number of places to be output.

### Example

=HEX2OCT("6a";4) returns 0152.