This question was previously asked in

NIMCET 2019 Official Paper

Option 1 : (๐ถ3๐ท8)_{16}

CT 3: Building Materials

3014

10 Questions
20 Marks
12 Mins

The correct answer is** (๐ถ3๐ท8)16**

__Important Points__

**N = (F87B)**is_{16}**-1111 1000 0111 1011**in**bianry**- Note that
**most significant bit**in the binary representation is**1**, which implies that the number is**negative**. To get the value of the number perform the**2’s complement**of the number. We get**N**as**-1925**and**8N**as**-15400** - Since 8N is also
**negative**, we need to find 2’s complement of it (-15400) - Binary of
**15400 = 0011 1100 0010 1000** - 2’s Complement =
**1100 0011 1101 1000 = (C3D8)**_{16}

Extra- Bites - In the case of large decimal numbers, use hex code as an intermediate stage i.e., convert decimal to hex then that to binary