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Decimal separator: the same digits, two readings

The same string of digits reads as two different numbers under two separator conventions. Type one and see both readings, the gap between them, and which reading each convention defends.

Live result

The token ١٬٢٣٤ reads as ١٢٣٤ in the first interpretation and ١٫٢٣٤ in the second.
The token ١٬٢٣٤ reads as ١٢٣٤ in the first interpretation and ١٫٢٣٤ in the second.

The same digits in two places

The same digits in two placesThe token ١٬٢٣٤ reads ١٢٣٤ in the first interpretation and ١٫٢٣٤ in the second. The two readings sit three decades apart, a ratio of 1000 to 1.

Try a token

Which reading treats the separator as a decimal point

The other reading treats it as a grouping separator.

Numbering system

Authoritative result table

Reading A
Separator role
Grouping separator
Value
١٢٣٤
Exact fraction
12341\frac{1234}{1}
Reading B
Separator role
Decimal separator
Value
١٫٢٣٤
Exact fraction
617500\frac{617}{500}
A minus B
١٢٣٢٫٧٦٦
Absolute difference
١٢٣٢٫٧٦٦
Larger to smaller ratio
10001\frac{1000}{1}

Reading trace, boundary, sources, and version

Equation trace

vd=a+b10nv_d=a+\frac{b}{10^n}
where vdv_d is the decimal reading, aa the digits before the separator, bb the digits after it, and nn the number of digits after it.
vg=10na+bv_g=10^n a+b
where vgv_g is the grouped reading.
Δ=v1−v2\Delta=v_1-v_2
where Δ\Delta is the difference, v1v_1 the first reading, and v2v_2 the second reading.
  1. Verify that every digit belongs to the declared numbering system.
  2. Build reading A from the role declared by the visitor.
  3. Build reading B from the other declared role.
  4. Subtract the values with integer and exact fraction arithmetic.
  5. Report the absolute difference and the ratio when the smaller value is not zero.

No language inference

The calculator does not infer a separator meaning from the page language or visitor location. You declare the numbering system and each separator role.

Boundary

The page accepts nonnegative digits from one numbering system and one declared separator, requires three digits after a grouping separator, and does not interpret currency, units or outside rounding rules.

Source anchors

Calculation version

1.0.0

Unicode data version: 17.0.0

The whole record prints. Your browser can save it as a PDF instead of printing it.

This page exposes the results of two declared interpretations. It does not decide which interpretation an outside document intended.

Related

Separator readings record

Decimal separator: the same digits, two readings

Accepted inputs

Token and separator roles
١٬٢٣٤
Declared numbering system
Arabic Indic digits
Separator role in reading A
Grouping separator
Separator role in reading B
Decimal separator

Authoritative results

Reading A
١٢٣٤ (12341\frac{1234}{1})
Reading B
١٫٢٣٤ (617500\frac{617}{500})
A minus B
١٢٣٢٫٧٦٦ (616383500\frac{616383}{500})
Absolute difference
١٢٣٢٫٧٦٦ (616383500\frac{616383}{500})
Larger to smaller ratio
10001\frac{1000}{1}

Record fields

Calculation version
1.0.0
Unicode data version
17.0.0
Boundary
The page accepts nonnegative digits from one numbering system and one declared separator, requires three digits after a grouping separator, and does not interpret currency, units or outside rounding rules.
Ordered calculation trace
Verify that every digit belongs to the declared numbering system. Build reading A from the role declared by the visitor. Build reading B from the other declared role. Subtract the values with integer and exact fraction arithmetic. Report the absolute difference and the ratio when the smaller value is not zero.
Source anchors
CLDR number symbol charts; ECMA 402 specification; Unicode bidirectional algorithm

This page exposes the results of two declared interpretations. It does not decide which interpretation an outside document intended.

Calculation version: 1.0.0. Unicode data version: 17.0.0.

Badr Alghamdi · badralghamdi.com/tools/separator-readings