0
Assuming you start from 0, you need at least 4 bits.
15 in binary:
15 = 8 + 4 + 2 + 1 = 1111₂
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Why do digital computer use binary number system?
Binary numbers have only 2 digits, 0 and 1. Binary came from a need to represent information based in magnetics that only offer an "on" or "off" state. Decimal numbers have 10 digits, 0,1,2,3,4,5,6,7,8,9. Decimal numbers came about from humans having 10 fingers to count with. Once they reach 10, they start reusing fingers (digits). When humans count to 3, they count to their 3rd digit. Here's how to count to 3 in binary, which only has 2 digits: 01,10,11 Here's counting to 7 in decimal: 1,2,3,4,5,6,7 Here's counting to 7 in binary: 001,010,011,100,101,110,111 All of the mathematics done in decimal can be done in binary. No matter how fancy computers get, the bottom line is they have to store and manipulate information at a physical level, something physical must store all of that information. In computers, that physical storage is magnetic. All information is stored and manipulated at the lowest level as a combination of large binary values, large combinations of "on" and "off". Scientists are inventing new ways to store information in computers, so perhaps in time computer storage won't be limited to binary values.
How many binary digits required to count to 1?
1 cause ( 2 ^ 0 ) = 1 index: 0 1 2 3 number: 1 2 4 8
How many significant digits are in exact numbers?
It is a count of all digits, excluding leading zeros before the decimal point.
How many types of binary number system are there?
To the best of my knowledge (which is not completely inconsiderable), there is only one binary number system. That is the system in which each place is worth twice that of the preceding place, starting at 1. A 1 will count the place, a 0 will not. You may have meant how many number system are there 'like' the binary system, that is to say, how many number system are there which, like the binary system, do not use 10 digits. The answer to that is an infinite number. Binary is only special in that it uses the least possible number of digits. Our normal system (decimal) uses 10 digits (0-9). A number system can be made which uses any number of digits. The only three that I know of which are commonly used are the following. Decimal is our normal day to day number system with the digits 0-9. Binary is the number system used by computers and has only two digits, 0 and 1. Hexadecimal is a number system used by programs and has 16 digits, 0-f (that is, it uses 0-9 like normal, but continues by replacing "10" with "a", "11" with "b" and so on, up to "15" with "f"). To look into this more fully, they're called bases. Binary is base 2, decimal is base 10, and hexadecimal is base 16.
How can i get a denominator of a decimal?
Count the number of digits after the decimal point. The denominator is 1 followed by the same number of 0s.So, for example, 12.0356 has 4 digits after the decimal place. Therefore the denominator is 10000, and the rational form is 120356/10000
How many binary digits are required to count to decimal 100?
7 digits
How many binary bits are required to represent the decimal number 643?
Count them: 643(10)=1010000011(2)
Why do digital computer use binary number system?
Binary numbers have only 2 digits, 0 and 1. Binary came from a need to represent information based in magnetics that only offer an "on" or "off" state. Decimal numbers have 10 digits, 0,1,2,3,4,5,6,7,8,9. Decimal numbers came about from humans having 10 fingers to count with. Once they reach 10, they start reusing fingers (digits). When humans count to 3, they count to their 3rd digit. Here's how to count to 3 in binary, which only has 2 digits: 01,10,11 Here's counting to 7 in decimal: 1,2,3,4,5,6,7 Here's counting to 7 in binary: 001,010,011,100,101,110,111 All of the mathematics done in decimal can be done in binary. No matter how fancy computers get, the bottom line is they have to store and manipulate information at a physical level, something physical must store all of that information. In computers, that physical storage is magnetic. All information is stored and manipulated at the lowest level as a combination of large binary values, large combinations of "on" and "off". Scientists are inventing new ways to store information in computers, so perhaps in time computer storage won't be limited to binary values.
How high can you count with four decimal digits?
9999
How high can you count with 9 decimal digits?
999999999
How high can you count with six decimal digits?
You can count to 999999, one short of a million.
How many binary digits required to count to 1?
1 cause ( 2 ^ 0 ) = 1 index: 0 1 2 3 number: 1 2 4 8
How do you count significant figures?
To count significant figures, you count all the non-zero digits. You also count zeros which are between non-zero digits, as well as zeros which are after the decimal point, only if they appear to the right of non-zero digits.
How do you convert a percent like 490.4 to a fraction?
Count the digits to the right of the decimal and divide the digits number, without a decimal, by 1 with (2 + number of digits right of decimal) zeros. So. 490.4% = 4904/100 = 4.904
How do you do binary counting?
Just like decimal counting except you only have two digits (0 and 1) instead of 10 (0,1,2,3,4,5,6,7,8,9). But counting is the same. In decimal you count from 0 to 9, then you start over by putting a 1 in the "tens" place and a 0 in the "ones" place. Eg., 0,1,2,3,4,5,6,7,8,9,10,11,12, etc. Same with binary, except since you only have two digits, it goes 0,1, 10 (note I put a 1 in the "two's" place) 11, 100,101, 110,111, etc. In decimal you have the "ones, tens, hundreds, thousands" places, etc, and in binary you have the "Ones, twos, fours, eights" places, etc. So 100 has a 1 in the "fours" place and equals decimal count of 4. 101 has a 1 in the fours place, a 0 in the twos place, and a 1 in the ones place so it equals a decimal count of 5.
How many significant digits are in exact numbers?
It is a count of all digits, excluding leading zeros before the decimal point.
Why do we use decimal prime numbers?
Prime numbers are prime numbers - whether we count in the decimal, binary, hexadecimal or another base.
