CUET PG 2022 — Computer PYQ
CUET PG | Computer | 20221001 is 2’s complement representation of __________.
Choose the correct answer:
- A.
–7
(Correct Answer) - B.
+9
- C.
+6
- D.
–6
–7
Explanation
- Check the Most Significant Bit (MSB): The leftmost bit in 1001 is '1', which signifies a negative number.
- Find the Magnitude: To find the decimal value of a negative 2's complement number:
- Invert the bits (1's complement): 1001 becomes 0110.
- Add 1: 0110 + 1 = 0111.
- Convert to Decimal: 0111 is
.
4+2+1=74 plus 2 plus 1 equals 74+2+1=7
- Apply the Sign: Since the MSB was '1', the number is -7.
Explanation
- Check the Most Significant Bit (MSB): The leftmost bit in 1001 is '1', which signifies a negative number.
- Find the Magnitude: To find the decimal value of a negative 2's complement number:
- Invert the bits (1's complement): 1001 becomes 0110.
- Add 1: 0110 + 1 = 0111.
- Convert to Decimal: 0111 is
.
4+2+1=74 plus 2 plus 1 equals 74+2+1=7
- Apply the Sign: Since the MSB was '1', the number is -7.