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3.4 Token Overview
3.4.4 Constant Operand Tokens
Token ID
Token name
Description
16
H
tMissArg
Missing argument
17
H
tStr
String constant
1C
H
tErr
Error constant
1D
H
tBool
Boolean constant
1E
H
tInt
Integer constant
1F
H
tNum
Floating-point constant
20
40
60
H
tArray
Array constant
3.4.5 Operand Tokens
Token ID
Token name
Description
23
43
63
H
tName
Internal defined name
24
44
64
H
tRef
2D cell reference
25
45
65
H
tArea
2D area reference
26
46
66
H
tMemArea
Constant reference subexpression
27
47
67
H
tMemErr
Deleted constant reference subexpression
28
48
68
H
tMemNoMem
Incomplete constant reference subexpression
29
49
69
H
tMemFunc
Variable reference subexpression
2A
4A
6A
H
tRefErr
Deleted 2D cell reference
2B
4B
6B
H
tAreaErr
Deleted 2D area reference
2C
4C
6C
H
tRefN
Relative 2D cell reference
2D
4D
6D
H
tAreaN
Relative 2D area reference
2E
4E
6E
H
tMemAreaN
Relative constant reference subexpression
2F
4F
6F
H
tMemNoMemN
Incomplete relative constant reference subexpression
39
59
79
H
tNameX
External name (BIFF5-BIFF8)
3A
5A
7A
H
tRef3d
3D cell reference (BIFF5-BIFF8)
3B
5B
7B
H
tArea3d
3D area reference (BIFF5-BIFF8)
3C
5C
7C
H
tRefErr3d
Deleted 3D cell reference (BIFF5-BIFF8)
3D
5D
7D
H
tAreaErr3d
Deleted 3D area reference (BIFF5-BIFF8)
3.4.6 Control Tokens, Special Tokens
Token ID
Token name
Description
01
H
tExp
Matrix formula or shared formula
02
H
tTbl
Multiple operation table
15
H
tParen
Parentheses
18
H
tNlr
Natural language reference (BIFF8)
19
H
tAttr
Special attribute
1A
H
tSheet
Start of external sheet reference (BIFF2-BIFF4)
1B
H
tEndSheet
End of external sheet reference (BIFF2-BIFF4)
41
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3 Formulas
3.4.7 Overview, Ordered by Token Identifiers
The following table shows all tokens, ordered by their identifiers, together with their sizes in bytes. The sizes include the 
token identifier. Note that the tStr token, the tNlr token, and the tAttr token do not have a fixed size.
Base Tokens (00
H
–1F
H
)
Token ID
Token name
BIFF2
BIFF3
BIFF4 BIFF5/7 BIFF8
00
H
Not used
01
H
tExp
4
5
5
5
5
02
H
tTbl
4
5
5
5
5
03
H
tAdd
1
1
1
1
1
04
H
tSub
1
1
1
1
1
05
H
tMul
1
1
1
1
1
06
H
tDiv
1
1
1
1
1
07
H
tPower
1
1
1
1
1
08
H
tConcat
1
1
1
1
1
09
H
tLT
1
1
1
1
1
0A
H
tLE
1
1
1
1
1
0B
H
tEQ
1
1
1
1
1
0C
H
tGE
1
1
1
1
1
0D
H
tGT
1
1
1
1
1
0E
H
tNE
1
1
1
1
1
0F
H
tIsect
1
1
1
1
1
10
H
tList
1
1
1
1
1
11
H
tRange
1
1
1
1
1
12
H
tUplus
1
1
1
1
1
13
H
tUminus
1
1
1
1
1
14
H
tPercent
1
1
1
1
1
15
H
tParen
1
1
1
1
1
16
H
tMissArg
1
1
1
1
1
17
H
tStr
var.
var.
var.
var.
var.
18
H
tNlr
var.
19
H
tAttr
var.
var.
var.
var.
var.
1A
H
tSheet
8
11
11
1B
H
tEndSheet
4
5
5
1C
H
tErr
2
2
2
2
2
1D
H
tBool
2
2
2
2
2
1E
H
tInt
3
3
3
3
3
1F
H
tNum
9
9
9
9
9
42
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3.4 Token Overview
Classified Tokens (20
H
–7F
H
)
Token ID
Token name
BIFF2
BIFF3
BIFF4 BIFF5/7 BIFF8
20
40
60
H
tArray
7
8
8
8
8
21
41
61
H
tFunc
3
3
4
4
4
22
42
62
H
tFuncVar
4
4
5
5
5
23
43
63
H
tName
8
11
11
15
5
24
44
64
H
tRef
4
4
4
4
5
25
45
65
H
tArea
7
7
7
7
9
26
46
66
H
tMemArea
5
7
7
7
7
27
47
67
H
tMemErr
5
7
7
7
7
28
48
68
H
tMemNoMem
5
7
7
7
7
29
49
69
H
tMemFunc
2
3
3
3
3
2A
4A
6A
H
tRefErr
4
4
4
4
5
2B
4B
6B
H
tAreaErr
7
7
7
7
9
2C
4C
6C
H
tRefN
4
4
4
4
5
2D
4D
6D
H
tAreaN
7
7
7
7
9
2E
4E
6E
H
tMemAreaN
2
3
3
3
3
2F
4F
6F
H
tMemNoMemN
2
3
3
3
3
30
50
70
H
Not used
31
51
71
H
Not used
32
52
72
H
Not used
33
53
73
H
Not used
34
54
74
H
Not used
35
55
75
H
Not used
36
56
76
H
Not used
37
57
77
H
Not used
38
58
78
H
tFuncCE
3
3
39
59
79
H
tNameX
25
7
3A
5A
7A
H
tRef3d
18
7
3B
5B
7B
H
tArea3d
21
11
3C
5C
7C
H
tRefErr3d
18
7
3D
5D
7D
H
tAreaErr3d
21
11
3E
5E
7E
H
Not used
3F
5F
7F
H
Not used
43
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3 Formulas
3.5 Unary Operator Tokens
Unary operators perform an operation with the topmost operand from stack. The tokens do not contain any additional 
data.
3.5.1 tUplus (12
H
)
Unary plus operator. This operator has no effect on the operand. Operand class: value.
Token tUplus, BIFF2-BIFF8:
Offset
Size
Contents
0
1
12
H
Example: +A1 returns the value of cell A1.
3.5.2 tUminus (13
H
)
Unary minus operator. Negates the operand. Operand class: value.
Token tUminus, BIFF2-BIFF8:
Offset
Size
Contents
0
1
13
H
Example: -A1 returns the negated value of cell A1.
3.5.3 tPercent (14
H
)
Percent sign. Divides the operand by 100. Operand class: value.
Token tPercent, BIFF2-BIFF8:
Offset
Size
Contents
0
1
14
H
Example: 1% returns 0.01.
44
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3.6 Binary Operator Tokens
3.6 Binary Operator Tokens
Binary operators perform an operation with the two topmost operands from stack. The tokens do not contain any 
additional data.
3.6.1 tAdd (03
H
)
Addition operator. Adds the operands. Operand class: value.
Token tAdd, BIFF2-BIFF8:
Offset
Size
Contents
0
1
03
H
Example: 3+2 returns 5.
3.6.2 tSub (04
H
)
Subtraction operator. Subtracts the top operand from the second-to-top operand. Operand class: value.
Token tSub, BIFF2-BIFF8:
Offset
Size
Contents
0
1
04
H
Example: 3-2 returns 1.
3.6.3 tMul (05
H
)
Multiplication operator. Multiplicates the operands. Operand class: value.
Token tMul, BIFF2-BIFF8:
Offset
Size
Contents
0
1
05
H
Example: 3*2 returns 6.
3.6.4 tDiv (06
H
)
Division operator. Divides the second-to-top operand by the top operand. Operand class: value.
Token tDiv, BIFF2-BIFF8:
Offset
Size
Contents
0
1
06
H
Example: 3/2 returns 1.5.
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3 Formulas
3.6.5 tPower (07
H
)
Exponentiation operator. Raises the second-to-top operand to the power of the top operand. Operand class: value.
Token tPower, BIFF2-BIFF8:
Offset
Size
Contents
0
1
07
H
Example: 3^2 returns 9.
3.6.6 tConcat (08
H
)
Concatenation operator. Appends the top operand to the second-to-top operand. Operand class: value.
Token tConcat, BIFF2-BIFF8:
Offset
Size
Contents
0
1
08
H
Example: "ABC"&"DEF" returns "ABCDEF“.
3.6.7 tLT (09
H
)
Less than operator. Returns TRUE if the second-to-top operand is less than the top operand. Operand class: value.
Token tLT, BIFF2-BIFF8:
Offset
Size
Contents
0
1
09
H
Example: 3<2 returns FALSE.
3.6.8 tLE (0A
H
)
Less than or equal operator. Returns TRUE if the second-to-top operand is less than or equal to the top operand. 
Operand class: value..
Token tLE, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0A
H
Example: 3<=2 returns FALSE.
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3.6 Binary Operator Tokens
3.6.9 tEQ (0B
H
)
Equality operator. Returns TRUE if the operands are equal. Operand class: value.
Token tEQ, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0B
H
Example: 3=2 returns FALSE.
3.6.10 tGE (0C
H
)
Greater than or equal operator. Returns TRUE if the second-to-top operand is greater than or equal to the top operand. 
Operand class: value..
Token tGE, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0C
H
Example: 3>=2 returns TRUE.
3.6.11 tGT (0D
H
)
Greater than operator. Returns TRUE if the second-to-top operand is greater than the top operand. Operand class: value.
Token tGT, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0D
H
Example: 3>2 returns TRUE.
3.6.12 tNE (0E
H
)
Inequality operator. Returns TRUE if the operands are not equal. Operand class: value.
Token tNE, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0E
H
Example: 3<>2 returns TRUE.
47
3 Formulas
3.6.13 tIsect (0F
H
)
Intersection operator, represented by the space sign. Returns the intersected range of two ranges. If the resulting cell 
range is empty, the formula will return the error code “#NULL!” (for instance A1:A2 B3). This token is not allowed 
in conditions of conditional formattings and in data validity. If this token is used in cell formulas, it prevents the 
creation of shared formulas. Operand class: reference.
Token tIsect, BIFF2-BIFF8:
Offset
Size
Contents
0
1
0F
H
Example: A1:B3 B2:C3 returns B2:B3.
3.6.14 tList (10
H
)
Range list operator, represented by the system's list separator sign (for example comma sign). Treats two ranges as one 
operator. This might be useful for function parameters. Note: This is not a union operator. This token is not allowed in 
conditions of conditional formattings and in data validity. If this token is used in cell formulas, it prevents the creation 
of shared formulas. Operand class: reference.
Token tList, BIFF2-BIFF8:
Offset
Size
Contents
0
1
10
H
Example: (A1:A2,A2:A3) will be handled as one operand. Cell A2 will be handled twice, therefore this is a 
range list operator, no union operator.
3.6.15 tRange (11
H
)
Range operator, represented by the colon sign. Returns the minimal rectangular range that contains both parameters. This 
token occurs for instance by using defined names. This token is not allowed in conditions of conditional formattings and 
in data validity. If this token is used in cell formulas, it prevents the creation of shared formulas. Operand class: 
reference.
Token tRange, BIFF2-BIFF8:
Offset
Size
Contents
0
1
11
H
Example: namedcell:D5 returns A1:D5, if the defined name namedcell contains A1:B2.
48
3.7 Function Operator Tokens
3.7 Function Operator Tokens
The reference class of function operator tokens depend on the function itself and on the position of the function inside 
of the formula (for instance the expected class for the current parameter of an enclosing function).
3.7.1 tFunc (21
H
, 41
H
, 61
H
)
This token contains the index to a built-in function with fixed number of arguments. The operand class is dependent on 
the return type of the function.
Token tFunc, BIFF2-BIFF3:
Offset
Size
Contents
0
1
21
H
(tFuncR), 41
H
(tFuncV), 61
H
(tFuncA)
1
1
Index to a built-in sheet function (
3.11)
Token tFunc, BIFF4-BIFF8:
Offset
Size
Contents
0
1
21
H
(tFuncR), 41
H
(tFuncV), 61
H
(tFuncA)
1
2
Index to a built-in sheet function (
3.11)
3.7.2 tFuncVar (22
H
, 42
H
, 62
H
)
This token contains the index to a built-in function or a macro command with variable number of arguments. The 
operand class is dependent on the return type of the function.
Token tFuncVar, BIFF2-BIFF3:
Offset
Size
Contents
0
1
22
H
(tFuncVarR), 42
H
(tFuncVarV), 62
H
(tFuncVarA)
1
1
Number of arguments
2
1
Index to a built-in sheet function (
3.11)
Token tFuncVar, BIFF4-BIFF8:
Offset
Size
Contents
0
1
22
H
(tFuncVarR), 42
H
(tFuncVarV), 62
H
(tFuncVarA)
1
1
Number of arguments
Bit
Mask
Contents
6-0
7F
H
Number of arguments
7
80
H
1 = User prompt for macro commands (shown by a question mark 
following the command name)
2
2
Index to a sheet function
Bit
Mask
Contents
14-0
7FFF
H
Index to a built-in sheet function (
3.11) or a macro command
15
8000
H
0 = Built-in function; 1 = Macro command
49
3 Formulas
3.7.3 tFuncCE (38
H
, 58
H
, 78
H
)
This token contains the index to a macro sheet command. From BIFF4 on, macro commands are represented by 
tFuncVar tokens (
3.7.2). Operand class: reference.
Token tFuncCE, BIFF2-BIFF3:
Offset
Size
Contents
0
1
38
H
(tFuncCER), 58
H
(tFuncCEV), 78
H
(tFuncCEA)
1
1
Number of arguments
2
1
Index to a macro sheet command
50
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