3-Number Theory-Number System

binary number system

Number systems {binary number system}| {bicimal system} can use two as base. Base-2 number system uses two digits, 0 and 1. For example, 111 in base 2 is 1 * 2^2 + 1 * 2^1 + 1 * 2^0, which equals 7 in base 10.

decimal number system

Base-10 number system {decimal number system}| {denary number system} uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. For example, 1357 equals 1 * 10^3 + 3 * 10^2 + 5 * 10^1 + 7 * 10^0.

duodenary number system

Base-12 number system {duodenary number system} uses twelve digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, and b.

modulo n

Number systems {modulo n} {mod n} can include only positive integers from number zero up to number {modulus, number} minus one. For example, modulo-3 number system has only integers 0, 1, and 2. For mod n, modulus is n.

sexagesimal as sixty

Things can have sixty parts {sexagesimal}.

unary notation

Amounts or values can be string lengths {unary notation}. Unary notation uses only one symbol, such as 1. For example, 1111 in base 1 has length 4, which equals 4 in base 10.

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3-Number Theory

Drawings

Drawings

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Date Modified: 2022.0225