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Yes. There are two methods.
Formally, to convert any number from any base to any other base, simply iteratively divide by that other base, using the rules of arithmetic of the first base, recording remainders in reverse order, until the quotient is zero. For instance, to convert 10111112 to 1378 start by dividing by 10002 and repeating...
10111112 divided by 10002 = 101112 remainder 1112
10112 divided by 10002 = 12 remainder 112
12 divided by 10002 = 02 remainder 12
The answer is 1 (12) 3 (112) 7 (1112)
The second method depends on the fact that 2 and 8 are relative powers of each other, specifically that 8 is 2 to the third power. As a result, you can take the binary bits and group them into groups of three bits and convert them on sight. 10111112 can be rewritten as 12 0112 1112. This, however, is only a trick for a human being; a computer still needs to do the division, but you could use the trick for a computer with a look up table. We also use the trick when converting for hexadecimal, but we cannot use the trick for decimal, because the divisor is 10102, and not just one 1 followed by some number of zeros.
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Convert binary numbers to octal numbers 1111111010?
1111111010 = octal 1772
How binary and octal are related?
they are both numbers
How do you convert octal to binary number system?
Octal numbers are in the range 0 to 7. Since 111 binary is 7 decimal, every three bits in a binary number can be directly converted to a single octal digit. Thus the 9-bit binary number 101011100 can be split into three groups of three bits, 101 011 100, each of which can be converted to octal, 5 3 4, making the octal representation 5348. If a binary number is not an exact multiple of 3 bits, pad with zeroes until it is. Note that all bases that are a power of 2 are directly related to binary. A single base-4 digit represents two binary digits, while a base-8 digit represents three bits, base-16 every four bits, and so on.
Convert 110001100 into its decimal numbers?
The answer depends on what you are converting from: binary, ternary, octal, hexadecimal ...
Why should one study octal and Hexadecimal systems when the digital machine understands only binary system?
Octal and hexadecimal numbers are useful for humans as they compactly represent binary numbers:each octal digit represents exactly 3 binary digitseach hexadecimal number represents exactly 4 binary digitsFor example, instead of trying to read (and remember) the binary number 100111001001 it can be represented as hexadecimal 0x09c9 or octal 04711 which are easier to read (and remember) for humans.
Convert binary numbers to octal numbers 1111111010?
1111111010 = octal 1772
How do you convert octal to binary with 2 decimal nos?
The conversion of octal number to binary can be obtained by using two methods. First, it can be converted into decimal and then obtained decimal is converted into binary. In the second method
How are binary and octal numbers related?
they are both numbers
Convert the decimal numbers 1987 to binary then to octal?
In binary this number is equivalent to 11111000011 while in octal it is 3703
How binary and octal are related?
they are both numbers
Why are octal and hexadecimal numbers preferred over binary numbers?
The number of digits required to store a number in binary is substantially greater than that required in octal and even larger than in hex.
How do you convert octal to binary number system?
Octal numbers are in the range 0 to 7. Since 111 binary is 7 decimal, every three bits in a binary number can be directly converted to a single octal digit. Thus the 9-bit binary number 101011100 can be split into three groups of three bits, 101 011 100, each of which can be converted to octal, 5 3 4, making the octal representation 5348. If a binary number is not an exact multiple of 3 bits, pad with zeroes until it is. Note that all bases that are a power of 2 are directly related to binary. A single base-4 digit represents two binary digits, while a base-8 digit represents three bits, base-16 every four bits, and so on.
Convert 110001100 into its decimal numbers?
The answer depends on what you are converting from: binary, ternary, octal, hexadecimal ...
Convert the hexadecimal number ABCDEF to octal and binary?
Octal = 52746757 Binary = 101010111100110111101111
How do you convert 1470 octal to binary?
1470 octal = 001 100 111 000 binary
Why should one study octal and Hexadecimal systems when the digital machine understands only binary system?
Octal and hexadecimal numbers are useful for humans as they compactly represent binary numbers:each octal digit represents exactly 3 binary digitseach hexadecimal number represents exactly 4 binary digitsFor example, instead of trying to read (and remember) the binary number 100111001001 it can be represented as hexadecimal 0x09c9 or octal 04711 which are easier to read (and remember) for humans.
Why do you use octal and hexadecimal number system as shortcut notation?
Memory dump which are in binary numbers would have many numbers of 0s and 1s. working with these numbers would be very difficult. Hence two number system hexadecimal and octal number system is used because these numbers are inter convertible with binary numbers by the concept of bits.
