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

## BESSELI

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

BESSELI(x;n)

x: 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)

=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).

BESSELJ(x;n)

x: 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)

=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).

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)

=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).

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)

=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.

BIN2DEC (Number)

Number: the 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.

=BIN2DEC(1100100) returns 100.

## BIN2HEX

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

BIN2HEX(Number;Places)

Number: the 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: the number of places to be output.

=BIN2HEX(1100100;6) returns 000064.

## BIN2OCT

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

BIN2OCT(Number;Places)

Number: the 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: the number of places to be output.

=BIN2OCT(1100100;4) returns 0144.

## DEC2BIN

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

DEC2BIN(Number;Places)

Number: the 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: the number of places to be output.

=DEC2BIN(100;8) returns 01100100.

## DEC2HEX

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

DEC2HEX(Number;Places)

Number: the 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: the number of places to be output.

=DEC2HEX(100;4) returns 0064.

## DEC2OCT

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

DEC2OCT(Number; Places)

Number: the 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: the number of places to be output.

=DEC2OCT(100;4) returns 0144.

## DELTA

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

DELTA(Number 1;Number 2)

=DELTA(1;2) returns 0.

## ERF

Returns values of the Gaussian error integral.

ERF(Lower limit;Upper limit)

Lower limit; lower limit of integral.

UpperLimit is optional. It is the upper limit of the integral. If this value is missing, the calculation takes place between 0 and the lower limit.

=ERF(0;1) returns 0.842701.

## ERF.PRECISE

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

ERF.PRECISE(LowerLimit)

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

=ERF.PRECISE(1) returns 0.842701.

## ERFC

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

ERFC(Lower limit)

Lower limit; lower limit of integral

=ERFC(1) returns 0.157299.

## ERFC.PRECISE

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

ERFC.PRECISE(LowerLimit)

Lower limit; lower limit of integral

=ERFC.PRECISE(1) returns 0.157299.

## GESTEP

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

GESTEP(Number; Step)

=GESTEP(5;1) returns 1.

## HEX2BIN

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

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: the number of places to be output.

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

## HEX2DEC

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

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.

=HEX2DEC("6a") returns 106.

## HEX2OCT

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

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: the number of places to be output.

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