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16 is the 4th power of 2. So a hexadecimal number is converted to binary by replacing each hex digit by the 4-bit binary number having the same value. Conversely, in converting binary to hexadecimal, we group every 4 bits starting at the decimal (binary?) point and replace it with the equivalent hex digit. For example, the hexadecimal number 3F9 in binary is 1111111001, because 3 in binary is 11, F (decimal 15) is 1111, and 9 is 1001.

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Q: What does hexadecimal base 16 convert binary equal?

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58880 cannot be binary. Please check the base for 58880 and then what base you want to convert it to and then resubmit.

Decimal is base 10. Binary is base 2. Octal is base 8. Hexadecimal is base 16.

the binary system is base 2 and the hexadecimal system is base 16

As compared to converting decimal into what other base! It is no more difficult to convert decimal into base 8 than decimal into binary or Hex.

It means base 16 to base 2. Example - F1 in hex is 1111 0001 in binary

Because - Hex is an exact multiple of binary - whereas decimal numbers need to be converted from base 10 to base 2.

"Binary decimal" is a contradiction in terms. Decimal has a base of 10, binary a base of 2 and hexadecimal a base of 16.The way I would do it is:If you have a value in binary then convert this to a decimal value. Then convert it to hexadecimal remembering that the number will now be comprised by the following (where x represents the digit):The first digit (from right to left) will equal x * 160, the next will equal x * 161 and so forth...An example:So in binary 11111 = (1 * 20) + (1 * 21) + (1 * 22) + (1 * 23) + (1 * 24) = 1 + 2 + 4 + 8 + 16 = 31 (in decimal).To write this in hexadecimal, 31 would be (15 * 160) + (1 * 161) = 1FNote: A tip - If you are using a Windows operating system, then if you go to the Start menu and choose search/run and type in "calc" or "calculator" then you will get a virtual calculator to use. If you choose "programmer" from the View menu and then choose the "Bin" button and type in a binary value and then choose the "Hex" button then the binary value will be converted to hexadecimal. (The above certainly applies for Windows 7).

The hexadecimal system is a base 16 system, just as binary is base 2 and decimal is base 10. The same way that a binary system is more practical for hardware and software implications, hexadecimal is great for easy viewing of binary numbers. It's a lot easier, in the opinion of most, to look at 1FE4 than it is to get the same information as quickly from 0001111111100100. Hexadecimal numbers can also be easily converted to the seven segment display commonly used on electric signs and scoreboards to display numbers and some letters.

convert 0.713 base 10 to binary. Thanks.

10011110 base 2 = 9E base 16

Hexadecimal is simply short-hand for binary numbers. Because hexadecimal is base 16 or 24 , every 4 binary bits can be expressed as a single hexadecimal character. For example, 1110 is E in hexadecimal and 1111 0011 1000 1010 is written as F38A in hexadecimal. Writing memory addresses, binary code, or IP addresses in hexadecimal results in number which has 75% less characters. The hexadecimal system uses sixteen distinct symbols, most often the symbols 0-9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen. When dealing with large values the hexadecimal system solves this problem and it is simple to convert a hex digits into a binary digits.

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