What is the name of this 4-bit pattern: 1010 ?
A ― this is the name of the pattern the four bits make.
The name of the binary pattern 1010 is "A". The hex digit that corresponds to the integer represented by 10102 is also "A".
It is OK to have a pattern that has the name "A" and also to use "A" as a digit.
If a 4-bit pattern represents an integer in base two, that integer represented in base 16 is the same digit as the bit pattern name.
|Base Sixteen Digits:||When describing Bit Patterns:||Hex digits in Binary|
0 is a digit, representing zero. . . . A is a digit, representing ten. . . . F is a digit, representing fifteen.
0 is the name of the pattern 0000 . . . A is the name of the pattern 1010 . . . F is the name of the pattern 1111
0 in 4-bit binary is 0000 . . . A in 4-bit binary is 1010 . . . F in 4-bit binary is 1111
The name of a 4-bit pattern (regarded as an abstract pattern) is the same as the hexadecimal digit whose representation in binary is that 4-bit pattern. This is not accidental.
Here is an integer represented in base two: 1011. What is the representation in base two of the number times sixteen?
Hint: remember that trick with appending zeros.