This page is a permanent link to the reply below and its nested replies. See all post replies »
Base 10 or Base 60?
The system surfaced circa 3100 BCE, according to The New York Times. “The number of seconds in a minute — and minutes in an hour — comes from the base-60 numeral system of ancient Mesopotamia,” the paper noted.
Although the system has stood the test of time, it is not the dominant numeral system used today. Instead, most of the world relies on the base 10 system of Hindu-Arabic origin.
The number of factors distinguishes the base 60 system from its base 10 counterpart, which likely developed from people counting on both hands. The former system uses 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 for base 60, while the latter uses 1, 2, 5, and 10 for base 10. The Babylonian mathematics system may not be as popular as it once was, but it has advantages over the base 10 system because the number 60 “has more divisors than any smaller positive integer,” the Times pointed out.
Instead of using times tables, the Babylonians multiplied using a formula that depended on knowing just the squares. With only their table of squares (albeit going up to a monstrous 59 squared), they could compute the product of two integers, a and b, using a formula similar to:
ab = [(a + b)2 - (a - b)2]/4. The Babylonians even knew the formula that’s today known as the Pythagorean theorem.
History
Babylonian math has roots in the numeric system started by the Sumerians, a culture that began about 4000 BCE in Mesopotamia, or southern Iraq, according to USA Today.
“The most commonly accepted theory holds that two earlier peoples merged and formed the Sumerians,” USA Today reported. “Supposedly, one group based their number system on 5 and the other on 12. When the two groups traded together, they evolved a system based on 60 so both could understand it.”
That’s because five multiplied by 12 equals 60. The base 5 system likely originated from ancient peoples using the digits on one hand to count. The base 12 system likely originated from other groups using their thumb as a pointer and counting by using the three parts on four fingers, as three multiplied by four equals 12.
The main fault of the Babylonian system was the absence of a zero. But the ancient Maya’s vigesimal (base 20) system had a zero, drawn as a shell. Other numerals were lines and dots, similar to what is used today to tally.
The system surfaced circa 3100 BCE, according to The New York Times. “The number of seconds in a minute — and minutes in an hour — comes from the base-60 numeral system of ancient Mesopotamia,” the paper noted.
Although the system has stood the test of time, it is not the dominant numeral system used today. Instead, most of the world relies on the base 10 system of Hindu-Arabic origin.
The number of factors distinguishes the base 60 system from its base 10 counterpart, which likely developed from people counting on both hands. The former system uses 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 for base 60, while the latter uses 1, 2, 5, and 10 for base 10. The Babylonian mathematics system may not be as popular as it once was, but it has advantages over the base 10 system because the number 60 “has more divisors than any smaller positive integer,” the Times pointed out.
Instead of using times tables, the Babylonians multiplied using a formula that depended on knowing just the squares. With only their table of squares (albeit going up to a monstrous 59 squared), they could compute the product of two integers, a and b, using a formula similar to:
ab = [(a + b)2 - (a - b)2]/4. The Babylonians even knew the formula that’s today known as the Pythagorean theorem.
History
Babylonian math has roots in the numeric system started by the Sumerians, a culture that began about 4000 BCE in Mesopotamia, or southern Iraq, according to USA Today.
“The most commonly accepted theory holds that two earlier peoples merged and formed the Sumerians,” USA Today reported. “Supposedly, one group based their number system on 5 and the other on 12. When the two groups traded together, they evolved a system based on 60 so both could understand it.”
That’s because five multiplied by 12 equals 60. The base 5 system likely originated from ancient peoples using the digits on one hand to count. The base 12 system likely originated from other groups using their thumb as a pointer and counting by using the three parts on four fingers, as three multiplied by four equals 12.
The main fault of the Babylonian system was the absence of a zero. But the ancient Maya’s vigesimal (base 20) system had a zero, drawn as a shell. Other numerals were lines and dots, similar to what is used today to tally.
Rokasu · 36-40, M
@DarkHeaven Tf sis
@Rokasu I would personally prefer if we would adopt a base 12 numbering system instead of our base 10 Hindu–Arabic numeral system accepted by most of the world. With just two additional one digit symbols we’d gain two additional factors, allowing fractions of thirds to simply evenly which would be huge for engineering. I’m not sure we ever will since so much of our infrastructure is build on base 10.
[youtube=https://m.youtube.com/watch?v=U6xJfP7-HCc]
[youtube=https://m.youtube.com/watch?v=U6xJfP7-HCc]
Rokasu · 36-40, M
@DarkHeaven Maybe for like simple calculations but 3D don't give a fuh about non-floating points.
@Rokasu And coders use a variety of bases already, so that’s nothing for them. More commonly base 16 as a doubling from binary.
Rokasu · 36-40, M
@DarkHeaven Where'd all this random ass sis knowledge come from.
Rokasu · 36-40, M
@DarkHeaven Pft, then you'd know programmers live in base 10 for the most part. All the other bases are automagically handed for us 😌
