NIMCET 2025 — Computer PYQ
NIMCET | Computer | 2025What is the hexadecimal representation of the decimal number 265?
Choose the correct answer:
- A.
0x100001001
- B.
0x411
- C.
0x190
- D.
0x109
(Correct Answer)
0x109
Explanation
Logic
-
Divide by 16:
265÷16=16 (Quotient), Remainder =9 -
Divide Quotient by 16:
16÷16=1 (Quotient), Remainder =0 -
Divide Quotient by 16:
1÷16=0 (Quotient), Remainder =1 -
Combine Remainders (Bottom to Top):
1→0→9
Binary Verification
Converting to Binary first:
(265)10=256+8+1
(265)10=28+23+20
Binary: (100001001)2
Grouping into 4 bits (nibbles) for Hexadecimal:
000100001001
↓↓↓
109
Final Equation
(265)10=(1×162)+(0×161)+(9×160)
(265)10=(109)16
Explanation
Logic
-
Divide by 16:
265÷16=16 (Quotient), Remainder =9 -
Divide Quotient by 16:
16÷16=1 (Quotient), Remainder =0 -
Divide Quotient by 16:
1÷16=0 (Quotient), Remainder =1 -
Combine Remainders (Bottom to Top):
1→0→9
Binary Verification
Converting to Binary first:
(265)10=256+8+1
(265)10=28+23+20
Binary: (100001001)2
Grouping into 4 bits (nibbles) for Hexadecimal:
000100001001
↓↓↓
109
Final Equation
(265)10=(1×162)+(0×161)+(9×160)
(265)10=(109)16

