go to previous page   go to home page   go to next page hear noise highlighting

What is the name of this 4-bit pattern: 1010 ?

Answer:

A ― this is the name of the pattern the four bits make.


Base 16 Representation and
4-bit Pattern Names

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.


QUESTION 12:

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.


go to previous page   go to home page   go to next page