I am working with bases. I don't understand.
What, if anything, is wrong with the following numerals?
A. 306four
B. 1023two
Are you indicating that the word term is an exponent?
Online, exponents are shown with a carat, "^". For example, x^2 = x squared.
A. 306^4
B. 1023^2
I am having the same problem. It is 306 base four and 1023 base two
Working with different bases can be confusing at first, but I can help explain it to you.
In mathematics, the base, or radix, is the number of unique digits used to represent numbers in a positional numeral system. The most commonly used base is base-10, also known as the decimal system, which uses the digits 0-9.
Let's go through each numeral and identify what is wrong with them:
A. 306four:
The numeral "306four" indicates that it is using base-4. In base-4, we can only use digits 0, 1, 2, and 3. Since "6" is not a valid digit in base-4, there is an error. To fix it, you could replace "6" with a valid digit of base-4 such as "2" or "3" to get a correct numeral.
B. 1023two:
The numeral "1023two" indicates that it is using base-2, also known as the binary system. In base-2, we can only use digits 0 and 1. The error with this numeral is that "3" is not a valid digit in base-2. To correct it, you would need to replace "3" with a valid digit of base-2, which is either "0" or "1".