Digital Circuits & Design, 1st Education by Pearson

2.40 | Chapter 2

2.8.1 | Octal to Binary Conversion

Three binary digits are combined to get the values from 0 to 7 in decimal. 0 to 7 are the sym-

bols of octal system. The octal digits, 0 to 7 can be written in combination of three binary

digits (3 bits) as given in Table 2.7. Hence, octal number is converted into equivalent binary

number by replacing octal digits to its 3 bits equivalent binary number.

TABLE 2.7 | Decimal binary numbers equivalent to octal

Decimal Octal Binary

2

2

2

1

2

0

0 0 0 0 0

1 1 0 0 1

2 2 0 1 0

3 3 0 1 1

4 4 1 0 0

5 5 1 0 1

6 6 1 1 0

7 7 1 1 1

ExamplE 2.32 Convert (74765)

8

into binary.

Solution Represent each octal digit equivalent ...