1. represent every individual digit of given hexadecimal in binary form like this 4---------> 0100 8---------> 1000 7---------> 0111 2. combine the individual binary digits in order to get the binary of given hexadecimal number 487 ------------> 0100 1000 0111 ( required binary number )
To convert binary to hexadecimal split the binary number into blocks of 4 bits from the right hand end; each block represents a hexadecimal digit: 111101110001 → 1111 0111 0001 = 0xF71
Hexadecimal means 16. So that 4 binary bits are represented by a hexadecimal number. 0000 = 0 1000 = 8 0001 = 1 1001 = 9 0010 = 2 1010 = A 0011 = 3 1011 = B 0100 = 4 1100 = C 0101 = 5 1101 = D 0110 = 6 1110 = E 0111 = 7 1111 = F
7
4 * (-4) + 9 = -7; so -7 is equivalent to 4 times -4 plus 9.
72 = 111 7Hex = 7
1. represent every individual digit of given hexadecimal in binary form like this 4---------> 0100 8---------> 1000 7---------> 0111 2. combine the individual binary digits in order to get the binary of given hexadecimal number 487 ------------> 0100 1000 0111 ( required binary number )
hex =7
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.
Convert each hex digit to four binary digits. If you get less than three (for example, 7 --> 111), fill it out with zeroes to the left (in this case, 0111).
To convert binary to hexadecimal split the binary number into blocks of 4 bits from the right hand end; each block represents a hexadecimal digit: 111101110001 → 1111 0111 0001 = 0xF71
31.... Why? 24 + 23 + 22 + 21 + 20 = 16 + 8 + 4 + 2 + 1 = 31 or 25 - 1 = 31 ------------------------------------------------------------------- You can calculate the decimal equivalent of any binary number by adding the powers of two that correspond to each place that a binary digit '1' is in. With decimal numbers, as you move left one digit, from the rightmost digit, you multiply that digit's value by 10. In binary, you multiply that place value by 2. For any eight bit binary number (or less) here are the multiples of 2. We always start with (n-1) for the leftmost exponent, because you have to remember that the rightmost exponent is always 0. 27 + 26 + 25 + 24 + 23 + 22 + 21 + 20 which correspond with the following decimal numbers: 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 All you have to do is add the decimal numbers that correspond with the each binary digit 1 is in. ie. 10000000 (binary) = 128 11000000 (binary) = 128 + 64 = 192 FYI here are the decimal equivalents for four bit binary numbers: 0000 = 0 0001 = 1 0010 = 2 0011 = 3 0100 = 4 0101 = 5 0110 = 6 0111 = 7 1000 = 8 1001 = 9 1010 = 10 = a (in hexadecimal) 1011 = 11 = b (in hexadecimal) 1100 = 12 = c (in hexadecimal) 1101 = 13 = d (in hexadecimal) 1110 = 14 = e (in hexadecimal) 1111 = 15 = f (in hexadecimal)
To get what is equivalent to 7 a plus 4b plus three you have to equate them to an equal sign.
Hexadecimal means 16. So that 4 binary bits are represented by a hexadecimal number. 0000 = 0 1000 = 8 0001 = 1 1001 = 9 0010 = 2 1010 = A 0011 = 3 1011 = B 0100 = 4 1100 = C 0101 = 5 1101 = D 0110 = 6 1110 = E 0111 = 7 1111 = F
"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).
Each hexadecimal digit represent four binary bits. Using the table... 0 = 0000 1 = 0001 2 = 0010 3 = 0011 4 = 0100 5 = 0101 6 = 0110 7 = 0111 8 = 1000 9 = 1001 A = 1010 B = 1011 C = 1100 D = 1101 E = 1110 F = 1110 ... replace each hexadecimal digit with its correspnding binary digits. As an example, 37AB16 is 00110111101010112.
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