101110102 = BA16
Its the same as any other base conversion. Iteratively divide the number by the desired base, using the rules of arithmetic for the original base, until the result is zero, and then record the remainders in reverse order. In the case of conversion from base 2 to base 16, you are dividing by 100002, which is the same as shifting to the right by four until you have nothing left.
101110102 divided by 100002 = 10112 remainder 10102
10112 divided by 100002 = 02 remainder 10112
Convert 10102 to A16 and convert 10112 to B16, and reverse write as BA16.
You can also do this by inspection, by simply grouping the original binary number, 10111010, into groups of four bits, 1011, 1010, and writing down the conversion, B, A.
N = 1001 0010 0100 0000 1101 1000 1101 1110 1110 1100 1001 0100 1000 0001 1110 0101
If N is already in binary and you want to convert it to our normal base-10 system, then the value would be:
10,538,661,580,010,455,525
If N is already in base-10 and you want to convert it to binary, then the value would be:
0010 0110 1110 1110 1100 1010 1000 1110 0110 1101 1111 1100 0011 0100 1111 1110 1101 1101 1111 0101 1110 1000 1000 1101 1110 0100 0011 1001 1011 1001 0101 0001 0010 1010 0100 0111 0000 1100 0010 0101 0110 1010 1010 1011 1011 1101 1000 0101 1001 1100 0000 1100 0101
Converting from binary to hexadecimal is fairly simple, because the base from which we're converting (2) is a factor of the base to which we're converting (16). The easiest way to do it then, is to group the digits into sets of four (because 24 = 16), and convert them individually:
10111010 => {1011}{1010} => {B}{A}
So 101110102 = BA16
To convert binary to hex, starting from the low-order bit (working right-to-left), split the binary digits into groups of four-bit nybbles (half-a-byte) and then translate each nybble to its hexadecimal equivalent. This works because there are only 16 possible nybbles and we can represent each with a single hex digit:
0000 = 0
0001 = 1
0010 = 2
0011 = 3
0100 = 4
0101 = 5
0110 = 6
0111 = 7
1000 = 8
1001 = 9
1010 = a
1011 = b
1100 = c
1101 = d
1110 = e
1111 = f
Thus, given the binary value 01100011110, we find there are 3 four-bit nybbles:
011 0001 1110
in this case, the high-order nybble has only 3 bits, but we always assume leading zeroes for any missing bits.
Translating these three nybbles to hexadecimal we get:
0011 = 3 0001 = 1
1110 = e
Thus 01100011110 binary is 31e hexadecimal, which is often written 0x31e.
Converting to octal is similar except we use groups of 3 bits with the following conversions:
000 = 0
001 = 1
010 = 2
011 = 3
100 = 4
101 = 5
110 = 6
111 = 7
Thus 01100011110 splits into 01 100 011 110 with the following translation:
001 = 1
100 = 4
011 = 3
110 = 6
Thus 01100011110 binary is 1436 octal which is often written 01436.
All I know is that when a number is negative, you convert the decimal into binary and if it is negative you put 1111 before the binary digits.
No, binary is a number system.A binary digit is called a bit.
The number 4693 in binary is 1001001010101
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.
The number 6 in binary is 110
The largest decimal number is binary 11111, which is decimal 31.
10 digits.
All I know is that when a number is negative, you convert the decimal into binary and if it is negative you put 1111 before the binary digits.
That's not a binary number ! Binary numbers can only use the digits 1 and 0.
56 in binary is 111000. Unlike the decimal number system where we use the digits.
It takes 7 digits.
Octet
The decimal representation of numbers is shorter. Binary number require approx 3.3 times as many digits.
It is 31.
You can look it up (00010110) or convert each numeral to binary individually. 11111111 is 255 decimal and is the largest number expressible with 8 binary digits.
5 bits are 5 binary digits. If they represent a decimal number, then that number can be anything from zero to 31, and can have either 1 or 2 digits.
It is 216 - 1 = 65535.