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How many binary digits does it takes to represent one octal digit?
Wiki User
∙ 8y ago
three
Wiki User
∙ 10y ago
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What are octal digits?
a digit from 0 to 7 in octal notation.
How will you convert octal to hexadecimal?
Each octal digit is equivalent to three binary digits; each hexadecimal digit is equal to four binary digits. I think the best way to do this conversion is to convert each octal digit into the binary equivalent (3 digits in each case - don't omit the zeros on the left), then convert the binary to hexadecimal by grouping four binary digits at a time (starting from the right). Note that nowadays, most scientific calculators - including the calculator that comes included in Windows - have the ability to do this sort of conversion. If you want to practice doing it yourself, you can still use the Windows calculator to check your calculations.
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.
Explain with example procedure to convert octal to binary number?
Convert each "digit" of the octal into a triplet of binary digits, according to the following rule: Octal Binary 0 000 1 001 2 010 3 011 4 100 5 101 6 110 7 111 So, for example, octal 53 = binary 101 011 [= decimal 43]
Could you please convert octal no 53324 to hexadecimal?
You could first convert it to binary, and then to hexadecimal. Because octal and hexadecimal bases are both powers of two, the conversion between those bases and binary is quite easy. To go from octal to binary, take each digit in the number, and convert it to three binary digits: 5 -> 101 3 -> 011 2 -> 010 4 -> 100 So the binary version of the number is: 101 011 011 010 100 In order to convert to hexadecimal, your number of digits needs to be divisible by four (as 24 = 16). To get that, we need to add a digit, which will be a zero as our leftmost digit: 0101 0110 1101 0100 Now we can convert each of those sets of four binary digits into single hexadecimal digits, giving us our final answer: 9AD8
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.
How do you convert hex decimal number in to octal?
First convert the hexadecimal to binary. Every hexadecimal digit corresponds to 4 binary digits: 0x0 = 0000 0x1 = 0001 0x2 = 0010 0x3 = 0011 0x4 = 0100 0x5 = 0101 0x6 = 0110 0x7 = 0111 0x8 = 1000 0x9 = 1001 0xA = 1010 0xB = 1011 0xC = 1100 0xD = 1101 0xE = 1110 0xF = 1111 Next, after you have converted each hexadecimal digit into binary digits, convert the binary digits to Octal. Each octal digit corresponds to 3 binary digits: 00 = 000 01 = 001 02 = 010 03 = 011 04 = 100 05 = 101 06 = 110 07 = 111 Make sure that you don't accidentally mix up the digits. If you are computer scientist, then you may also have to worry about endianess (whether the most significant digit comes first or the least significant digit comes first).
Convert binary to octal?
To convert a binary number of an octal number, group each set of three bits into a group, starting from the right. Then, convert each group into its decimal equivalent. A 1 in the leftmost bit is a 4, a one in the middle bit is a 2, and a one in the right bit is a 1. For example, 101 is 4+0+1, or 5. Grouping should be as follows:Binary: 0011010011010110Grouped: 0 011 010 011 010 110Octal: 032326You may also find programs that will perform this conversion for you. Windows Calculator can perform this translation for you when using the advanced mode that shows binary/hex/octal options.
What is binary number of 378octal number?
378 is not a valid octal number. Octal (base 8) uses digits 0-7.
How do you convert a octal to its binary number?
Convert every octal digit into three binary digit: 0->000 1->001 2->010 3->011 4->100 5->101 6->110 7->111
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.
If computer use Binary number so why you use binary to hexa decimal or binary to octal?
You don't use binary because it's very hard reading a bunch of zeros and ones. You use hexa because each hexa digit corresponds to 4 bits, this makes it very easy to convert from hexa do binary and vice versa. For a similar reason you use octal because each digit corresponds to 3 binary digits. Example: 0101 10102 Has 8 binary digits so it will be 2 hexa digits: 01012 = 516 , 10102 = A16 So the full number will be: 0101 10102 = 5A16 This works for hexa and octal because 16 and 8 are powers of 2, it would also work for 4, 32, 64 or any other ower of 2 . Since 10 for decimal notation is not a power of 2 converting from binary is not so direct.
