Q: What is the 4-bit binary number associated with the hexadecimal symbol?

Write your answer...

Submit

Still have questions?

Related questions

The answer is 1100.

Binary(1010) = Hex(A)

It is A.

1010 = A

It is E.

1100

It is EIt is EIt is EIt is E

0xc = 1100 Hexadecimal digits use exactly 4 binary digits (bits). The 0x0 to 0xf of hexadecimal map to 0000 to 1111 of binary. Thinking of the hexadecimal digits as decimal numbers, ie 0x0 to 0x9 are 0 to 9 and 0xa to 0xf are 10 to 15, helps with the conversion to binary: 0xc is 12 decimal which is 8 + 4 → 1100 in [4 bit] binary.

It is only true in the sense that any numeric base, expressed in that base, is represented with the symbol "10". Confusing? Let's clarify that. Hexadecimal numbers use sixteen as the base. But how do you express the value sixteen in hexadecimal? Quite easy, it would be written as "10". The same is true in any other base. For example, in binary (base two), the value two is expressed as "10". In octal (base eight), the value eight is expressed as "10". In decimal (our familiar base ten), the value ten is expressed as "10". No matter what base you work in, the base itself will always be expressed as "10". That however is not the same thing as saying that hexadecimal numbers are based on the number ten. That is incorrect. Hexadecimal numbers use the base sixteen.

There is no such thing as a binary encoded hexadecimal value. The encoding is simply the representation of a number. E.g., the symbol 42 is not a number, it is merely the representation of a number. Forty-two is an actual number. This is because 42 is only the number forty-two when the digits are base-10 (decimal). In octal notation, 42 is thirty-four and in hexadecimal notation 42 is sixty-six. Humans use decimal encoding to represent numbers simply because that's the way we were taught from an early age. We consider them easy to work with simply because we consider it easier to work in powers of 10. However, it's really no easier than working in powers of 5 or 12. Before decimalisation became the norm we actually used sexagesimal, base-60, because of its high divisibility (it's the lowest number that has all the factors 2, 3, 4, 5 and 6). Hence there are 60 seconds to the minute, 60 minutes to the hour, 24 hours in the day (2x2x2x3) and 360 degrees in a rotation. Binary and hexadecimal are simply different ways of encoding the same number. Computers only understand binary, but binary notation is tedious for humans because there are only two symbols to work with. Higher bases allow us to work with numbers more quickly because there are more symbols to play with and therefore more values we can represent with just a single digit. However, any base that is itself a power of two gives us a very simple conversion to and from binary. That is; base-4, base-8 and base-16 are more closely related to binary than is decimal. For instance, two binary digits have four possible combinations, each of which can be represented by just one base-4 digit. Three binary digits have eight possible combinations each of which can be represented by just one base-8 digit (octal notation). It therefore follows that a single base-16 digit can represent any combination of 4-bits. Since a byte is typically 8-bits in length, a hexadecimal digit is known as nybble because it is half-a-byte. Knowing this we can easily convert any number from hexadecimal to binary and back again. And if we can do it easily then a computer can do it just as easily. Converting to and from decimal is not so straightforward, but the computer can be programmed to do that for us as well, since decimal is the notation we're more used to. But when we want to instruct the computer in its own language, hexadecimal is easier to work with than decimal.

5 symbols-A,B,C,D,E,F

The alert symbol is associated with the color red.