A question a date range cannot answer
Sign tables give a start and an end and treat everything between them as identical. That is fine for naming the sign and useless for anything finer. A degree, by contrast, changes every day and can be checked against an ephemeris.
On 2 March, taking noon in each year from 1930 to 2035, the Sun has fallen between about eleven degrees and twelve point four degrees of Pisces. That is the specific answer for this date, and it separates it from the rest of the month.
It also explains why two people born on the same date in different years hold slightly different positions. More than a degree separates the lowest year in the leap cycle from the highest, which is a real distinction even though both read as Pisces.
Why the answer stays put
The variation across that whole span is under a degree and a half. The leap year cycle is the reason. Because the tropical year runs about six hours longer than a calendar year of whole days, the Sun on a fixed date arrives a little further along each common year, and then the leap day takes most of a degree back.
Averaged over the cycle, the calendar and the orbit stay in step, which is what the Gregorian reform was for. The consequence for a birthday page is that a figure quoted for one century is still close to right for the next.
The middle decan of Pisces
Twelve degrees falls in the second of the sign's three ten degree bands. The Chaldean table assigns that band to Jupiter, which is also the traditional ruler of Pisces, so the planet arrives from two independent directions in this stretch of the sign.
Older sources read the Jupiter band as the open and expansive third of Pisces, more outward than the Saturn band that opens the sign and less pointed than the Mars flavoured band that closes it. That is the tradition speaking. The position is the checkable part and the character sketch is the commentary on it.
The triplicity scheme, which spreads the decans of a sign across the signs of its element, gives this band to a different planet. That is worth knowing because articles quoting a decan ruler rarely say which system they are using.
What a birth time would add
Quite a lot. The Moon travels roughly thirteen degrees a day and can change sign during any 2 March, so the hour decides it in many years. The Ascendant changes about every two hours, and all twelve signs rise in the course of a day, so the rising sign is not implied by the date at any level.
Since the houses are counted from the Ascendant, the structure of the chart depends on the hour as well. The widget above uses your year, time and birthplace to give the exact solar degree and to report how far you were born from the nearest sign boundary.
Where the hour is unknown, a chart is usually cast for noon and the hour dependent parts are marked as unresolved rather than guessed. For this date that leaves the Sun intact and the Ascendant entirely open.
Questions people ask about this
What sign is 2 March?
Pisces, in every year and at every hour. Neither the Aquarius boundary behind it nor the Aries boundary ahead comes close to this date.
How far into Pisces is 2 March?
About twelve degrees. The noon range from 1930 to 2035 runs from roughly eleven to twelve point four degrees, and your figure depends on your birth year and place.
Which decan is this birthday in?
The second decan of Pisces, which covers ten to twenty degrees. Its Chaldean ruler is Jupiter, the same planet that traditionally rules the whole sign.
Why does the exact degree matter?
It decides the decan, it determines which aspects the Sun makes to other placements, and it fixes the house the Sun falls in once a birth time is known.
Is my Moon sign the same as my sun sign?
Only occasionally. The Moon changes sign every two and a half days or so, and on this date it may be in one of two or three signs depending on the year and hour.
Does the time zone of my birth matter?
Yes, for the degree. The Sun covers about a degree a day, so a birth in Sydney and a birth in Los Angeles on the same date differ by a fraction of a degree.