"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) = 1F
Note: 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).
0111 0110
I think people use the decimal system because we have 10 fingers and it's more intuitive that way. Computers use octal or hex because the base is a power of 2 (8=2^3, 16=2^4), and the computers work in binary, 0 or 1, 2 values.
ASCII for K is 0x4b = 75 = 0100 1011
Since a binary digit has only two possible values, each digit bears less information than in decimal, where each digit can have ten different values.
These are used quite often to represent values stored in bytes - 1 byte is represented as two hexadecimal digits. For example, both the MAC address of a network card and the new IP addresses (IPv6) are usually shown as hexadecimal.
0111 0110
Binary to hexadecimal is very easy because hexadecimal numbers are designed specifically so that each hex digit is exactly 4 bits (i.e. 16 different values). So if you had this binary number: binary: 100011011011110101000100001 You could put in commas every four places (starting on the left): binary: 100,0110,1101,1110,1010,0010,0001 Then you could write the hex values immediately below: binary: 0100,0110,1101,1110,1010,0010,0001 hex: 4 6 D E A 2 1 and the hex value would be 46DEA21.
Each hexadecimal digit represents four binary digits (bits) (also called a "nibble"), and the primary use of hexadecimal notation is as a human-friendly representation of values in computing and digital electronics. For example, binary coded byte values can range from 0 to 255 (decimal) but may be more conveniently represented as two hexadecimal digits in the range 00 through FF. Hexadecimal is also commonly used to represent computer memory adresses.
Hexadecimal number system is a number sytem with a Base of 16. The 'regular' system which we use every day is base-ten (decimal), with the digits 0-9.Having a base 16 system makes it easier to represent values of computer memory, as computers deal in binary (base 2), where every value is either one or zero (on or off).With hexadecimal, the digit values range from zero to fifteen, so symbols are needed to represent ten, eleven, ... fifteen as single digits. The letters A through F were chosen, so:A represents tenB = elevenC = twelveD = thirteenE = fourteenF = fifteen
Binary- 01100111 Decimal Value- 103
A binary number system has two states '0' '1' for a long word in bits it can be as follows 101010101010101010101011 intimidating RIGHT? it can be represented in groups of 3 bits in octal 10/010/101/010/101/010/101/011= 22525253 digital or in group of 4 bits as 10/1010/1010/1010/1010/1010 = 2AAAAA 111 =7 octal 1111=f F in hexadecimal numbers 1000 =8 1010 =10 or A
The binary values is 10110101.
It is 1111.
It is a numerical system where each significant numeral represents a change of 2^16th power. Decimal, or, "base 10", is the normal system of decimals. For example, 124 is "10 ^ 2 + 2 * 10 ^ 1 + 4 * 10 ^ 0" (or "one hundred twenty four"). In hexadecimal, each position is 16 base units instead of 10. This makes reading binary code easier, as binary and hex easily convert to each other directly.
It's 32-bit unsigned hexadecimal notation for two decimal values, 128298 and 128527. However, the spacing is wrong and there should be an operator between the two values. E.g., U0001f52a OR U0001f60f = U0001f72f In binary, this would equate to: 00000000000000011111010100101010 OR 00000000000000011111011000001111 = 00000000000000011111011100101111
Binary (base-2) and hexadecimal (base-16) are commonly used by programmers. Binary computers only understand binary encodings. That is, all information (both instructions and data) must be converted into a numeric value; digital information. Humans like to use decimal notation whenever possible, but in order to program a computer in its own native language we must convert all values to binary, the only language the computer actually understands. However, binary is difficult to work with because there are only two symbols: 0 and 1. Decimal, on the other hand, has ten symbols, 0 to 9, so we can easily notate all values from 0 to 9 using just one digit. In binary we would need at least 4 digits to notate the same range of numbers. Thus binary numbers tend to be much longer than their decimal equivalents and are difficult for humans to comprehend; a single digit in the wrong place is much harder to spot. Although we can program the computer to convert decimal notation to native binary, this has a runtime cost because there is no direct conversion between decimal and binary notation. But base-2 is directly related to all bases that are themselves a power of 2. Thus quaternary (base-4), octal (base-8) and hexadecimal (base-16) are all directly related to binary and are therefore more easily converted back and forth than is decimal. We use hexadecimal because it has relatively few symbols (16), and each hex digit maps 1:1 with a group of 4 bits. Since 4 bits is half a byte we call hexadecimal digits nybbles. Since two nybbles make a byte, we can represent any group of 8 bits with just two symbols instead of 8 binary digits. Octal is also used because it allows us to map bits in groups of 3, which can be useful in systems that use a 9-bit byte rather than the more common 8-bit byte, but is also useful when we need to work in base-8 itself.
4 bits equal to half byte.8 bits is one byte.when converting hexadecimal digits to binary, each hexadecimal digits will take 4 binary digits, which means 4 bits.Because one binary digit means one bit having two values [true/false] or [on/off] like that.. [0/1]we can represent one hexadecimal digit as 4 bits like..for [7] as hexadecimal, we can say [0111] in bits.