# Information technology binary decimal octal and hexadecimal conversions

Number Systems1. Decimal – numbers 0 to 9 with base 10It is base 10 because its digit can be 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9Ex.: 23410<- the small number is a base 10. If a number has a base 10, it is a decimal2. Binary – numbers 1 and 0 with base 2It is base 2 because its digit can only be 1 and 0Ex.: 111012 <- the small number is a base 2. If a number has a base 2, it is a binary3. Octal – numbers with base 8It is base 8 because its digits can be 0 to 7Ex.: 52384. Hexadecimal – numbers 0 to 9 and letter A to F with base 16Base 16 because a hexadecimal digit can be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and FEx.: 9F34B16Letters A to F is equivalent to…ABCDEF101112131415Difference between number, numeral, and digit?Number – used in countingNumeral – how the number Is written. Ex.: VX, 5Digit – amount of numbersConversionRemainder 0 means its quotient is a whole number or has no remainderor decimal point, while remainder 1 means the quotient has a remainderor decimal point. Ex.: If 20 is the quotient of the given and divisor, put 20on quotient and 0 on the remainder. If 12.5 is the quotient, write only 12on the quotien ... Purchase document to see full attachment

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