Page 12 - Digital Electronics by harish

The following procedure can be used for converting the binary number to octal number:

Step 1 : Group the binary digits in threes, starting at the binary point.
Step 2 : Convert each group of three to its octal equivalent

Example: To convert the binary number 1101110.101011 to octal number

Step 1 : 001 101 110 . 101 011 (Group)
Step 2 : 1 5 6 . 5 3 (Octal equivalent)

Therefore, 1101110.101011 2 = 156.53 8

Binary to hexadecimal conversion

The binary numbers for the hexadecimal numbers from 0 to F are given in the following
table:

Binary Hexadecimal
0000 0
0001 1
0010 2
0011 3
0100 4
0101 5
0110 6
0111 7
1000 8
1001 9
1010 A
1011 B
1100 C
1101 D
1110 E
1111 F

The following procedure can be used for converting the binary number to octal number:

Step 1 : Group the binary digits in fours, starting at the binary point.
Step 2 : Convert each group of four to its hexadecimal equivalent

Example: To convert the binary number 1101110.101011 to hexadecimal number

Step 1 : 0110 1110 . 1010 1100 (Group)
Step 2 : 6 E . A C (Hexadecimal equivalent)

Therefore, 1101110.101011 2 = 6E.AC 16

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