Instruction Set Reference - The HCS12/9S12: An Introduction to Software and Hardware Interfacing - page 781

Example B.5
▼ Convert the following two binary numbers into octal representation:
a. 101011001 2
b. 1010101010 2
Solution
a. 10101001 2 5 10,101,001 5 010,101,001 2 5 252 8
b. 1010101010 2 5 1,010,101,010 5 001,010,101,010 2 5 1252 8

▲

B.6 Convert from Octal to Binary

To convert from octal to binary, simply convert each octal digit to its 3-bit binary equiva-
lent and delete the leading 0s from the resultant binary number.

Example B.6
▼ Convert the following octal numbers into binary:
a. 532 8
b. 246 8
Solution
a. 532 8 5 101,011,010 2
b. 246 8 5 010,100,110 2 5 10,100,110 2

▲

B.7 Convert from Binary to Hexadecimal

The hex number system uses digits 0 through 9 and letters A through F to represent a num-
ber. The digit 0 corresponds to 0000 2 , and the letter A corresponds to 1010, whereas the letter F
corresponds to 1111 2 . There are two steps to convert a binary number to hex.
Step 1
Partition the given number (a string of 0s and 1s) from the right to the left into groups of
4 bits. Add leading 0s if the leftmost group has fewer than 4 bits.
Step 2
Convert each 4-bit group to the corresponding hex digit (0 to F).

Example B.7
▼ Convert the following two binary numbers into hex representation:
a. 100101011001 2
b. 1011010101110 2