number system conversion worksheet answer key


How many digits are there in a decimal number system?

    In the decimal number system, there are ten possible values that can appear in each digit position, and so there are ten numerals required to represent the quantity in each digit position. The decimal numerals are the familiar zero through nine (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). In a positional notation system, the number base is called the radix.

How do you write a decimal number?

    When we write decimal (base 10) numbers, we use a positional notation system. Each digit is multiplied by an appropriate power of 10 depending on its position in the number: For whole numbers, the rightmost digit position is the one’s position (100 = 1). The numeral in that position indicates how many ones are present in the number.

What is the range of numbers?

    Answer: Biggest positive numer is 011. . .1 = 2n?1?1. Negative numbers go down from?1 =1. . .11 down to 100. . .0 1 =?2n?1?1. But negative numbersn?1 can go one lower still: least negative number is 100. . .0 =?2n?1. So range ofnumbers is [??2n?1,+2n?1?1].
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