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If m is an integer greater than 1, then a modulo-m system consists of the numbers 0,1,2,…,m−1. Counting and arithmetic operations are performed in a manner corresponding to movements on an m-hour clock. The number is called the modulus of the system. Let’s say we wanted to count to 53…
In base-10, place values correspond to powers of 10, for example: In base-b, place values correspond to powers of b: Base-5 Base-5 uses the digits 0, 1, 2, 3, 4 to represent any number. In base-5, we start by counting 1, 2, 3, 4. At 5, however, we must write…
The Maya Indians had a numeration system based on the number 20. It used patterns of dots and bars to count, as shown: Q. Convert 8,292 to Mayan notation. Answer:
The Babylonian numeration system is based on powers of 60 (sexagesimal system). There are two symbols: Small numbers are represented much like the Egyptian system. For example: To represent larger numbers, use several groups of symbols, separated by spaces, and multiply the value of these groups by increasing powers of…
The Chinese system uses multiples of powers of 10 such as 10, 100, and 1,000. The system is a multiplicative system: numerals are formed by writing products of integers between 1 and 9 and powers of 10. Q1. Express 二千 in Hindu-Arabic notation. Q2. Express 九百四十二 in Hindu-Arabic notation. Q3. …
The Romans used letters of the alphabet as numerals. Q1. Convert DCLXXVIII to Hindu-Arabic notation. Furthermore, if the value of a numeral is ever less than the value of the numeral to its right, then the value of the left numeral is subtracted from the value of the numeral to…
In the Egyptian numeration system, numerals are formed by combining the symbols that represent various powers of ten: The value of the number is the sum of the values of the numerals. For example, the number 325 is represented as: The order of the symbols is not important, we could…