45÷r
Divide the number by the new base (7 in this case) to give a quotient (result) and remainder.Note the remainderMake the number the quotientIf the quotient is not zero repeat from step 1Write the remainders in reverse order (last found first)That's how I write a decimal number in any other base.This is me doing it for 2365 in to base 7:2365 ÷ 7 = 337 r 6337 ÷ 7 = 48 r 148 ÷ 7 = 6 r 66 ÷ 7 = 0 r 6⇒ 236510 = 66167
That means that the answer has a quotient of 100 and a remainder of 2. For example, 502 ÷ 5 would have that answer.
To convert from any base to another:Divide the number by the new base to get a quotient and a remainder.Note the remainder.If the quotient is zero stop as the remainder is the number in the new base.Divide the quotient by the new base to get a quotient and a remainder.Write the remainder in front of the previous remainder(s).Repeat from step 3.For example, to convert 8510 to octal (base 8):85 / 8 = 10 r 5 (answer so far: 5)10 / 8 = 1 r 2 (answer so far: 25)1 / 8 = 0 r 1 (answer so far: 125)quotient 0, so 8510 = 1258.To convert 8510 to binary:85 / 2 = 42 r 1 (answer so far: 1)42 / 2 = 21 r 0 (answer so far: 01)21 / 2 = 10 r 1 (answer so far: 101)10 / 2 = 5 r 0 (answer so far: 0101)5 / 2 = 2 r 1 (answer so far: 10101)2 / 2 = 1 r 0 (answer so far: 010101)1 / 2 = 0 r 1 (answer so far: 1010101)quotient 0, so 8510 = 10101012.
To convert to a new base: 1. divide the number by the new base to get a whole quotient and a remainder; 2. note the remainder 3. replace the number by the quotient 4. if the number is not zero repeat from step 1. 5. the remainders in reverse order is the number in the new base. Babylonian numbers are written using base 60, thus: 72 ÷ 60 = 1 r 12 1 × 60 = 0 r 1 → 72 in base 60 is 1 : 12 The Babylonians would write this as 1 one-wedge followed (after a small gap) by 1 ten-wedge with 2 one-wedges (these 3 wedges grouped together).
45÷r
45/r
r/2-8
It is 1 - r/7
Next to the quotient, write R(x). Let x be the remainder number.
1 - r/7 Another way to write the same thing is 7/7-r/7 which is (7-r)/7
. This is same as half of r.
(r + 5)/b
ratio
The answer is 43 r.0
35(r-45)
r + 45 = 79Subtract 45 from each side:r = 34