Mnemonics is a method of remembering things by associascation. Hexadecimal is a number system. 0-9 are as usual and then a(10) b(11) c(12) d(13) e(14) f(15)
FC(16) = value_of(F)*16 + value_of(C) = 15*16+12 = 252
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.
Sixteen would be coded 10, similar to ten being coded 10 in decimal: One in the 'sixteens' column, and zero in the units column. It's a wonderful question, though. The mystery evaporates when you realize that we commonly use a 'decimal' system, but the value of the highest single-digit number is 9. It seems odd, but think of the number line as a representation of continuous values. There are 10 ranges of value BETWEEN 0 and 10. These ranges can be coded with numbers between 0.000... and 9.999... The same idea applies to the hexadecimal system. F has the value of decimal 15.
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.
15 in the hexadecimal number system is represented by 21 in the decimal system.
The answer is 15.
15
111111 in binary is 255 in decimal which is FF in hexadecimal (i.e. 15 units and 15 16s)
The hexadecimal system requires 15 symbols. 0-9 provide 10, so 5 more, different symbols are needed: hence A to E. They could equally well have been £,%,t,# and ].
255
Hexadecimal is a number system whoose base has 16 numbers. Hexadecimal is usually represented as 0 through 9 and A through F. An example of counting from 9 to 33 follows. 9 A B C D E F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 21
15 base 10 equals F base 16
Mnemonics is a method of remembering things by associascation. Hexadecimal is a number system. 0-9 are as usual and then a(10) b(11) c(12) d(13) e(14) f(15)
The number 249 in hexadecimal would be F9. The digits in base 16 correspond to powers of 16 rather than 10. For a two-digit number, the place values are 16 and 1, and the usable values are from 0 to 15, with values 10 through 15 represented by letters A (10) through F (15). F9 = (15x16) + (9x1) = 240 + 9
A digit in math is a component of a natural number which is less than the base of the number system you are using. Natural numbers are all of the non-negative integers, sometimes including zero. So in the decimal number system, which has a base of 10, a digit is any number from 0 to 9. If you are using the binary number system, which has a base of 2, a digit can only be a 0 or a 1. If you are using the hexadecimal number system, which has a base of 16, a digit is any number from 0 to 15 (the numbers 10-15 are generally represented as A, B, C, D, E, F). If you are using the Sexagesimal number system, which has a base of 60, a digit is any number from 0 to 59. This is the number system which the Babylonians used, which is one of the reasons why we divide an hour into 60 minutes, and a minute into 60 seconds. This is also why we have 360 degrees to a circle.
It is -F.