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.
0X at the beginning represent a number in the hexadecimal system of units. FFFF is the hexadecimal equivalent of i) 65535 in decimal system of units ii) 1111111111111111 in binary system of units
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.
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.
hexadecimal, eg. 1ABH = 1AB(16) = 427(10)
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
Decimal, hexadecimal, binary - take your pick.
0X at the beginning represent a number in the hexadecimal system of units. FFFF is the hexadecimal equivalent of i) 65535 in decimal system of units ii) 1111111111111111 in binary system of units
10011101: Decimal = 157 Hexadecimal = 9D
4F7B: Binary = 100111101111011 Decimal = 20347
255 in decimal. 377 in octal. 11111111 in binary.
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
It is used because it is easier to convert to and from binary to hexadecimal than decimal, and it uses less characters than binary. For instance: decimal: 65535 hex: FFFF binary: 1111111111111111
Computers do much of their processing in binary. Hexadecimal is used as a kind of shortcut (easier to read for humans): each hexadecimal digit represents four binary digits.
If the above is decimal then in hexadecimal it is 2964492C2. If it is binary then in hexadecimal it is 7DA. If it is octal then in hexadecimal it is 49241208.
Decimal: 170Hex: AA
In hexadecimal, that would be 0x2E, which is equivalent to 46 in decimal, which in binary is 101110.