54 base 10
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To convert the decimal number 54 into binary (base 2), we need to divide 54 by 2 repeatedly and keep track of the remainders. 54 divided by 2 equals 27 with a remainder of 0. 27 divided by 2 equals 13 with a remainder of 1. 13 divided by 2 equals 6 with a remainder of 1. 6 divided by 2 equals 3 with a remainder of 0. 3 divided by 2 equals 1 with a remainder of 1. 1 divided by 2 equals 0 with a remainder of 1. Reading the remainders from bottom to top, the binary representation of 54 is 110110.
To subtract in base 2, we need to borrow from the next higher place value if necessary. In this case, when subtracting 11 from 101 in base 2, we need to borrow from the leftmost digit. So, 101 in base 2 is 5 in decimal, and 11 in base 2 is 3 in decimal. When subtracting 3 from 5 in decimal, we get 2 in decimal, which is 10 in base 2. Therefore, 101 base 2 minus 11 base 2 is 10 base 2.
11000 in base 2 is 24 in decimal. 110 in base 2 is 6 in decimal. 24 - 6 is 18. In base 2 18 is 10010.
The decimal system we normally use is base 10. That means that each position has 10 times the place-value of the digit to the right of it.Binary is base 2. Hexadecimal is base 16.