- BESSELI
- BESSELJ
- BESSELK
- BESSELY
- BIN2OCT
- BIN2HEX
- BIN2DEC
- BITAND
- BITLSHIFT
- BITOR
- BITRSHIFT
- BITXOR
- DEC2BIN
- DEC2OCT
- DEC2HEX
- OCT2BIN
- OCT2DEC
- OCT2HEX
- HEX2BIN
- HEX2DEC
- HEX2OCT
- IMABS
- IMAGINARY
- IMREAL
- COMPLEX
- IMSUM
- IMSUB
- IMPRODUCT
- IMDIV
- IMCONJUGATE
- IMSQRT
- IMARGUMENT
- IMSIN
- IMCSC
- IMCOS
- IMSEC
- IMTAN
- IMCOT
- IMSINH
- IMCSCH
- IMCOSH
- IMSECH
- IMLOG10
- IMLOG2
- IMLN
- IMEXP
- IMPOWER
- GESTEP
- DELTA
- ERF
- ERF.PRECISE
- ERFC.PRECISE
- CONVERT
- ERFC
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Engineering in Windows Forms Calculation Engine (Calculate)
9 Jul 202116 minutes to read
BESSELI
The BESSELI
function returns the modified Bessel function In(X)
, which is equivalent to the Bessel function evaluated for purely imaginary arguments.
Syntax:
BESSELI(X, N)
where:
-
X is the value at which the function is to be evaluated.
-
N is the positive integer, representing the order of the function. If the N value is represented as decimal, it is truncated as integer.
Remarks:
-
Returns
#NUM!
, if the supplied value of n is lesser than 0. -
If any of the supplied arguments are non-numeric, it returns
#VALUE!
error.
BESSELJ
The BESSELJ
function returns the Bessel function Jn(X)
.
Syntax:
BESSELJ( X, N )
where:
-
X is the value at which the function is to be evaluated.
-
N is the order of the Bessel function and it must be a positive number.
Remarks:
-
Returns
#NUM!
if the supplied value of n is lesser than 0. -
If any of the supplied arguments are non-numeric, it returns
#VALUE!
error.
BESSELK
The BESSELK
function returns the modified Bessel function Kn(X)
, which is equivalent to the Bessel function evaluated for purely imaginary arguments.
Syntax:
BESSELK( X, N )
where:
-
X is the value at which the function is to be evaluated.
-
N is the positive integer which denotes the order of the modified Bessel function.
Remarks:
-
Returns
#NUM!
, if either N is Lesser than 0 or X is lesser than or equal to 0. -
Returns
#VALUE!
, if any of the supplied argument are non-numeric.
BESSELY
The BESSELY
function returns the Bessel function Yn(X)
.
Syntax:
BESSELY( X, N )
where:
-
X is the value at which the function is to be evaluated.
-
N is the positive integer which denotes the order of the Bessel function.
Remarks:
-
Returns
#NUM!
, if either N is Lesser than 0 or X is lesser than or equal to 0. -
Returns
#VALUE!
, if any of the supplied argument are non-numeric.
BIN2OCT
The BIN2OCT
function converts a binary number into an octal number.
Syntax:
BIN2OCT(num, places)
where:
-
num is the decimal integer you want to convert.
-
places is the number of characters to use.
BIN2HEX
The BIN2HEX
function converts a binary number into a hexadecimal.
Syntax:
BIN2HEX(num places)
where:
-
num is the decimal integer you want to convert.
-
places is the number of characters to use.
Remarks:
-
#NUM!
occurs when number is not a valid binary number, when places is negative. -
#VALUE!
occurs when places is non-numeric.
BIN2DEC
The BIN2DEC
function converts a binary number into a decimal number.
Syntax:
BIN2DEC(num)
where:
num is the binary number that you want to convert.
Remarks:
#NUM!
occurs when number is not a valid binary number or when number contains more than 10 characters.
BITAND
The BITAND
function returns the bitwise AND
of two numbers.
Syntax:
BITAND(num1,num2)
Where:
num1 and num2 should be in decimal format.
Remarks:
-
#NUM!
- occurs if num1 or num2 is less than zero, if num1 or num2 is a non-integer or is greater than (2^48)-1. -
#VALUE!
- occurs if num1 or num2 is a non-numeric value.
BITLSHIFT
The BITLSHIFT
function returns a number shifted left by specified number of bits.
Syntax:
BITLSHIFT(num1,num2)
Where:
-
num1 must be an integer greater than or equal to 0.
-
Num2 must be an integer.
Remarks:
-
#NUM!
- occurs if num1 or num2 is less than zero, if num1 or num2 is a non-integer or is greater than (2^48)-1. -
#VALUE!
- occurs if num1 or num2 is a non-numeric value.
BITOR
The BITOR
function returns a bitwise ‘OR’ of two numbers.
Syntax:
BITOR(num1, num2)
Where:
num1 and num2 should be in decimal format.
Remarks:
-
#NUM!
- occurs if num1 or num2 is less than zero, if num1 or num2 is a non-integer or is greater than (2^48)-1. -
#VALUE!
- occurs if num1 or num2 is a non-numeric value.
BITRSHIFT
The BITRSHIFT
function returns a number shifted right by the specified number of bits.
Syntax:
BITRSHIFT(num1,num2)
Where:
-
num1 must be an integer greater than or equal to 0.
-
Num2 must be an integer.
Remarks:
-
#NUM!
- occurs if num1 or num2 is less than zero, if num1 or num2 is a non-integer or is greater than (2^48)-1. -
#VALUE!
- occurs if num1 or num2 is a non-numeric value.
BITXOR
The BITXOR
function returns bitwise XOR
of two numbers.
Syntax:
BITXOR(num1, num2)
Where:
num1 and num2 should be in decimal format.
Remarks:
-
#NUM!
- occurs if num1 or num2 is less than zero, if num1 or num2 is a non-integer or is greater than (2^48)-1. -
#VALUE!
- occurs if num1 or num2 is a non-numeric value.
DEC2BIN
The DEC2BIN
function converts a decimal number into a binary number.
Syntax:
DEC2BIN(num,places)
where:
-
num is the decimal integer you want to convert.
-
places is the number of characters to use.
Remarks:
-
#NUM!
occurs when number < -512 or if number >511 and when places is zero or negative. -
#VALUE!
occurs when number or places is non-numeric and whenDEC2BIN
requires more than the number of characters specified in places.
DEC2OCT
The DEC2OCT
function converts a decimal number into an octal number.
Syntax:
DEC2OCT(num, places)
where:
-
num is the decimal integer you want to convert.
-
places is the number of characters to use.
Remarks:
-
#NUM!
occurs when number < -512 or if number >511 and when places is zero or negative. -
#VALUE!
occurs when the number or places is non-numeric and when DEC2OCT requires more than the number of characters specified in places.
DEC2HEX
The DEC2HEX
function converts a a decimal number to hexadecimal
Syntax:
DEC2HEX(number, [places])
Where:
- number denotes the decimal integer you want to convert. If number is negative, places is ignored and DEC2HEX returns a 10-character (40-bit) hexadecimal number in which the most significant bit is the sign bit. The remaining 39 bits are magnitude bits. Negative numbers are represented using two’s-complement notation.
- places denotes the number of characters to use. If places is omitted, DEC2HEX uses the minimum number of characters necessary. Places is useful for padding the return value with leading 0s (zeros).
Remarks:
- If Number is < -549,755,813,888 or if Number is > 549,755,813,887, DEC2HEX returns the #NUM! error value.
- If Number is non-numeric, DEC2HEX returns the #VALUE! error value.
- If the result of DEC2HEX requires more than the number of specified Places characters, it returns the #NUM! error value.
- If Places is not an integer, the value of Places is truncated.
- If Places is non-numeric, DEC2HEX returns the #VALUE! error value.
- If Places is negative, DEC2HEX returns the #NUM! error value.
OCT2BIN
The OCT2BIN
function Converts octal number to binary.
Syntax:
OCT2BIN(number, [places])
Where:
- number denotes the octal number you want to convert. Number may not contain more than 10 characters. The most significant bit of number is the sign bit. The remaining 29 bits are magnitude bits. Negative numbers are represented using two’s-complement notation.
- places denotes. the number of characters to use. If places is omitted, OCT2BIN uses the minimum number of characters necessary. Places is useful for padding the return value with leading 0s (zeros).
Remarks:
If number is not a valid octal number, OCT2BIN returns the #NUM! error value.
OCT2DEC
The OCT2DEC
function Converts octal number to a decimal.
Syntax:
OCT2DEC(number)
Where:
number denotes the octal number you want to convert. Number may not contain more than 10 octal characters (30 bits). The most significant bit of number is the sign bit. The remaining 29 bits are magnitude bits. Negative numbers are represented using two’s-complement notation.
Remark:
If number is not a valid octal number, OCT2DEC returns the #NUM! error value.
OCT2HEX
The OCT2HEX
function Converts octal number to hexadecimal.
Syntax:
OCT2HEX(number, [places])
Where:
-
number denotes the octal number you want to convert. Number may not contain more than 10 octal characters (30 bits). The most significant bit of number is the sign bit. The remaining 29 bits are magnitude bits. Negative numbers are represented using two’s-complement notation.
-
places denotes the number of characters to use. If places is omitted, OCT2HEX uses the minimum number of characters necessary. Places is useful for padding the return value with leading 0s (zeros).
Remark:
If number is not a valid octal number, OCT2HEX returns the #NUM! error value.
HEX2BIN
The HEX2BIN
function converts a hexadecimal number into a binary number.
Syntax:
HEX2BIN(num, places)
where:
-
num is the decimal integer you want to convert.
-
places is the number of characters to use.
Remarks:
-
#NUM!
occurs when number is not a valid binary number and when places is negative. -
#VALUE!
occurs when places is non-numeric.
HEX2DEC
The HEX2DEC
function Converts a hexadecimal number to a decimal
Syntax:
HEX2DEC(number)
Where:
Number denotes the hexadecimal number you want to convert. Number cannot contain more than 10 characters (40 bits). The most significant bit of number is the sign bit. The remaining 39 bits are magnitude bits. Negative numbers are represented using two’s-complement notation.
Remark
If number is not a valid hexadecimal number, HEX2DEC returns the #NUM! error value.
HEX2OCT
The HEX2OCT
function converts a hexadecimal number into an octal number.
Syntax:
HEX2OCT(num, places)
where:
-
num is the hexadecimal integer you want to convert.
-
places is the number of characters to use.
Remarks:
-
#NUM!
occurs when number is not a valid hexadecimal number and when places is negative. -
#VALUE!
occurs when places is non-numeric.
IMABS
The IMABS
function returns the absolute value (the modulus) of a complex number.
Syntax:
IMABS(inumber)
Where:
inumber denotes a complex number for which you want the absolute value.
IMAGINARY
The IMAGINARY
function returns the imaginary coefficient of a complex number.
Syntax:
IMAGINARY(inumber)
Where:
inumber denotes a complex number for which you want the imaginary coefficient.
Remark:
Use COMPLEX to convert real and imaginary coefficients into a complex number.
IMREAL
The function IMREAL
function returns the real coefficient of a complex number.
Syntax:
IMREAL(inumber)
Where:
inumber denotes a complex number for which you want the real coefficient.
Remark:
Use COMPLEX to convert real and imaginary coefficients into a complex number.
COMPLEX
The function COMPLEX
converts user-supplied real and imaginary coefficients into a complex number
Syntax:
COMPLEX(real_num, i_num, [suffix])
Where:
-
real_num denotes the real coefficient of the complex number.
-
i_num denotes the imaginary coefficient of the complex number.
-
suffix denotes the suffix for the imaginary component of the complex number. If omitted, suffix is assumed to be “i”.
IMSUM
The function IMSUM
calculates the sum of two complex numbers
Syntax:
IMSUM(inumber1, [inumber2], …)
Where:
Inumber1, [inumber2], … Inumber1 is subsequent numbers are not. 1 to 255 complex numbers to add.
IMSUB
The function IMSUB
subtracts two complex numbers
Syntax:
IMSUB(inumber1, inumber2)
Where:
-
Inumber1 denotes the complex number from which to subtract inumber2.
-
Inumber2 denotes the complex number to subtract from inumber1.
IMPRODUCT
The function IMPRODUCT
returns the product of up to 255 supplied complex numbers.
Syntax:
IMPRODUCT(inumber1, [inumber2], …)
Where:
inumber1, [inumber2], … Inumber1 is required, subsequent inumber are not. 1 to 255 complex numbers to multiply.
IMDIV
The function IMDIV
returns the quotient of two supplied complex numbers.
Syntax:
IMDIV(inumber1, inumber2)
Where:
-
inumber1 denotes the complex numerator or dividend.
-
inumber2 denotes the complex denominator or divisor.
IMCONJUGATE
The function IMCONJUGATE
returns the complex conjugate of a complex number.
Syntax:
IMCONJUGATE(inumber)
Where:
inumber denotes a complex number for which you want the conjugate.
IMSQRT
The function IMSQRT
returns the square root of a complex number.
Syntax:
IMSQRT(inumber)
Where:
inumber denotes a complex number for which you want the square root.
IMARGUMENT
The function IMARGUMENT
returns the argument Θ (an angle expressed in radians) of a complex number.
Syntax:
IMARGUMENT(inumber)
Where:
inumber denotes a complex number for which you want the argument Theta ..
IMSIN
The function IMSIN
returns the sine of a complex number.
Syntax:
IMSIN(inumber)
Where:
inumber denotes a complex number for which you want the sine.
IMCSC
The function IMCSC
returns the cosecant of a complex number
Syntax:
IMCSC(inumber)
Where:
inumber denotes a complex number for which you want the cosecant.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, it returns the
#NUM!
error value. -
If inumber is a logical value, IMCSC returns the #VALUE! error value.
IMCOS
The function IMCOS
returns the cosine of a complex number
Syntax:
IMCOS(inumber)
Where:
inumber denotes a complex number for which you want the cosine.
IMSEC
The function IMSEC
returns the secant of a complex number.
Syntax:
IMSEC(inumber)
Where:
inumber denotes ACOT complex number for which you want the secant.
Remark:
Use COMPLEX to convert real and imaginary coefficients into a complex number.
IMTAN
The function IMTAN
returns the tangent of a complex number.
Syntax:
IMTAN(inumber)
Where:
inumber denotes a complex number for which you want the tangent.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, IMTAN returns the #NUM! error value.
-
If inumber is a logical value, IMTAN returns the #VALUE! error value.
IMCOT
The function IMCOT
returns the cotangent of a complex number.
Syntax:
_
IMCOT(inumber)_
Where:
inumber denotes a complex number for which you want the cotangent.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, IMCOT returns the #NUM! error value.
-
If inumber is a logical value, IMCOT returns the #VALUE! error value.
IMSINH
The function IMSINH
returns the hyperbolic sine of a complex number.
Syntax:
IMSINH(inumber)
Where:
inumber denotes a complex number for which you want the hyperbolic sine.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, IMSINH returns the #NUM! error value.
-
If inumber is a logical value, IMSINH returns the #VALUE! error value.
IMCSCH
The function IMCSCH
returns the hyperbolic cosecant of a complex number.
Syntax:
IMCSCH(inumber)
Where:
inumber denotes a complex number for which you want the hyperbolic cosecant
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, IMCSCH returns the #NUM! error value.
-
If inumber is a logical value, IMCSCH returns the #VALUE! error value.
IMCOSH
The function IMCOSH
returns the hyperbolic cosine of a complex number.
Syntax:
IMCOSH(inumber)
Where:
inumber denotes complex number for which you want the hyperbolic cosine.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, IMCOSH returns the #NUM! error value.
-
If inumber is a logical value, IMCOSH returns the #VALUE! error value.
IMSECH
The function IMSECH
returns the hyperbolic secant of a complex number.
Syntax:
IMSECH(inumber)
Where:
inumber denotes a complex number for which you want the hyperbolic secant.
Remarks:
-
Use COMPLEX to convert real and imaginary coefficients into a complex number.
-
If inumber is a value that is not in the complex number, it returns the
#NUM!
error value. -
If inumber is a logical value, IMSECH returns the #VALUE! error value.
IMLOG10
The function IMLOG10
returns the base-10 logarithm of a complex number.
Syntax:
IMLOG10(inumber)
Where:
inumber denotes a complex number for which you want the common logarithm.
IMLOG2
The function IMLOG2
returns the base-2 logarithm of a complex number.
Syntax:
IMLOG2(inumber)
Where:
inumber denotes a complex number for which you want the base-2 logarithm.
IMLN
The function IMLN
returns the natural logarithm of a complex number.
Syntax:
IMLN(inumber)
Where:
inumber denotes a complex number for which you want the natural logarithm.
IMEXP
The function IMEXP
returns the exponential of a complex number.
Syntax:
IMEXP(inumber)
Where:
inumber denotes a complex number for which you want the exponential.
IMPOWER
The function IMPOWER
calculates a complex number raised to a supplied power
Syntax:
IMPOWER(inumber, number)
Where:
-
inumber denotes a complex number you want to raise to a power.
-
number denotes a the power to which you want to raise the complex number.
GESTEP
The function GESTEP
tests whether a number is greater than a supplied threshold value.
Syntax:
GESTEP(number, [step])
Where:
-
number is the value to test against step.
-
step denotes the threshold value. If you omit a value for step, GESTEP uses zero.
Remark:
If any argument is non-numeric, GESTEP returns the #VALUE! error value.
DELTA
The function DELTA
tests whether two supplied numbers are equal
Syntax:
DELTA(number1, [number2])
Where:
-
number1 is the first number.
-
number2 is the second number. If omitted, number2 is assumed to be zero.
Remarks:
-
If number1 is non-numeric, DELTA returns the #VALUE! error value
-
If number2 is non-numeric, DELTA returns the #VALUE! error value.
ERF
The function ERF
returns the error function integrated between two supplied limits
Syntax:
ERF(lower_limit,[upper_limit])
Where:
-
lower_limit denotes the lower bound for integrating ERF.
-
upper_limit denotes the upper bound for integrating ERF. If omitted, ERF integrates between zero and lower_limit.
Remarks:
-
If lower_limit is non-numeric, ERF returns the #VALUE! error value.
-
If upper_limit is non-numeric, ERF returns the #VALUE! error value.
ERF.PRECISE
The function ERF.PRECISE
returns the error function integrated between 0 and a supplied limit
Syntax:
ERF.PRECISE(x)
Where:
x denotes the lower bound for integrating ERF.PRECISE.
Remark:
If lower_limit is non-numeric, ERF.PRECISE returns the #VALUE! error value.
ERFC.PRECISE
The function ERFC.PRECISE
returns the complementary error function integrated between a supplied lower limit and infinity.
Syntax:
ERFC.PRECISE(x)
Where:
x denotes the lower bound for integrating ERFC.PRECISE.
Remarks:
If x is non-numeric, ERFC.PRECISE returns the #VALUE! error value.
CONVERT
The function CONVERT
converts a number from one measurement system to another
Syntax:
CONVERT(number,from_unit,to_unit)
Where:
-
number is the value in from_units to convert.
-
from_unit is the units for number.
-
to_unit is the units for the result. CONVERT accepts the following text values (in quotation marks) for from_unit and to_unit.
ERFC
The function ERFC
returns the complementary Error Function integrated between two supplied limits (x and infinity).
Syntax:
ERFC(x)
Where:
- X : The lower limit for ERFC integration.
Remarks:
If x is non-numeric value, it returns the #VALUE!
error message.