MGF1106 Lecture Notes - Lecture 1: Polynomial Long Division
Document Summary
When a number is rewritten to a different base, it is converted using different digits that correspond to the coefficients on the powers of the new base. If the numeral has three places, multiply each digit in the number by the place value for that digit, and then add the products. 10^2 is the hundreds place and so on. Carrying rules differ depending on whether you"re adding or subtracting. When we get a number 10 or larger in base 10, we carry all the place values except the ones. When adding for any base, if you get a number greater than or equal to the base, you must carry all place values greater than the ones place. Subtraction is similar, but you must know when to borrow. We gain a better understanding of our number system by studying other bases.