Hexadecimal to octal conversion

Hexadecimal to Octal Conversion
The complete video with audio explanation is also available on YouTube :
https://youtu.be/99ONrcpIH0M

1. Hexadecimal Number to Octal Number Conversion Mukesh N. Tekwani 4

2. Table of Hexadecimal, Decimal and Binary Numbers Mukesh N. Tekwani Hexadecimal Number Decimal Number Binary Number 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 6 6 0110 7 7 0111 Hexadecimal Number Decimal Number Binary Number 8 8 1000 9 9 1001 A 10 1010 B 11 1011 C 12 1100 D 13 1101 E 14 1110 F 15 1111 Octal Number Binary Number 000 1 001 2 010 3 011 4 100 5 101 6 110 7 111

3. Hexadecimal Number to Octal Number Conversion – Example 1 Converting a Hexadecimal number (CAB) h to its Octal equivalent. Solution: Step 1: Convert the given hexadecimal number to its 4-bit binary equivalent C A B 1100 1010 1011 Step 2: Starting from the LSB, form groups of 3 bits 110 010 101 011 Step 3: Starting from the LSB, replace each group of 3 bits with its equivalent octal digit. 6 2 5 3 So, (CAB) h = (6253) 8 Mukesh N. Tekwani LSB

4. Convert the hexadecimal number (54.FB32) h to its octal equivalent. Hexadecimal Number to Octal Number Conversion – Example 2 Mukesh N. Tekwani So, (54.FB32) h = (124.76631) 8 Solution: Given hexadecimal number is 5 4 . F B 3 2 4-bit Binary equivalent: 0101 0100 . 1111 1011 0011 0010 Form groups of 3 bits: 01 010 100 . 111 1 10 11 0 011 001 Octal Equivalent: 1 2 4 . 7 6 6 3 1