Sample Paper 2 by Teachoo

Computer Science - Class 11
Teachoo Sample Paper

## (7654) 8

The hexadecimal equivalent of the octal number (7654) 8 is (F9C) 16

To convert an octal number to a hexadecimal number, we need to follow these steps:

• Convert the octal number to a binary number by replacing each octal digit with its equivalent 3-bit binary representation.
• Group the binary digits into groups of 4 bits from right to left. If the leftmost group has less than 4 bits, add leading zeros to make it 4 bits.
• Convert each group of 4 bits to its equivalent hexadecimal digit by using 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
• Write the hexadecimal digits in the same order as the binary groups. For example, 0001 in binary is 1 in hexadecimal, 0101 in binary is 5 in hexadecimal, and so on.

Here is an example of how to convert (7654) 8 to hexadecimal:

• Convert (7654) 8 to binary by replacing each octal digit with its equivalent binary representation:

(7654) 8 = (11111010100) 2

• Group the binary digits into groups of 4 bits from right to left. Add leading zeros if necessary:

(11111010100) 2 = (0001 1111 0101 00) 2

• Convert each group of 4 bits to its equivalent hexadecimal digit using the table:

(0001) 2 = (1) 16

(1111) 2 = (F) 16

(0101) 2 = (5) 16

(00) 2 = (0) 16

• Write the hexadecimal digits in the same order as the binary groups:

(0001)(1111)(0101)(00) 2 = (1)(F)(5)(0) 16