Question

convert hexadecimal to octal E3D​

Answer 1

Hexadecimal to Octal

for this First we have to convert hexadecimal into binary than binary to octal

Hexadecimal to binary

• A = 10
• B = 11
• C = 12
• D = 13
• E = 14
• F =15

Aftet expending E3D ... 14 3 13

14 , 3 , 13

2 |14| 0

2 | 7 | 1

2 | 3 | 1

2 | 1 | 1

2 | 0 |

• binary of 14 is 1110

2 | 3 | 1

2 | 1 | 1

2 | 0 |

• binary of 3 is 11 but it is not of four bit. To make it of four bit 0011

2 |13| 1

2 | 6 | 0

2 | 3 | 1

2 | 1 | 1

2 | 0 |

• binary of 13 is 1101

◆ Binary of E3D is 1110 0011 1101

Binary to octal

111000111101 to octal

we will convert it by dividing it into 3 bit

111 . 000 . 111 . 101

▪ 111

1×2^2 + 1×2^1 + 1×2^0

= 4 + 2 + 1

=7

▪ 000

0×2^2 + 0×2^1 + 0×2^0

=0

▪ 111

1×2^2 + 1×2^1 + 1×2^0

= 4 + 2 + 1

=7

▪ 101

1×2^2 + 0 ×2^1 + 1×2^0

= 4 + 0 + 1

=5

◆ binary to octal of 111000111101 is 7075

hexadecimal to octal of E3D is 7075