CUET PG 2021 — Computer PYQ
CUET PG | Computer | 2021The decimal equivalent of the binary number (1011.01)2
Choose the correct answer:
- A. (11.375)10
- B. (10.123)10
- C. (11.25)10(Correct Answer)
- D. (9.23)10
(11.25)10
Explanation
1. For the Integer Part (1011):
1⋅23=8
0⋅22=0
1⋅21=2
1⋅20=1
Sum of Integer Part=8+0+2+1=11
2. For the Fractional Part (.01):
0⋅2−1=0⋅0.5=0
1⋅2−2=1⋅0.25=0.25
Sum of Fractional Part=0+0.25=0.25
3. Final Addition:
Decimal Value=11+0.25=11.25
Final Solution
The decimal equivalent of (1011.01)2 is:
(11.25)10
Explanation
1. For the Integer Part (1011):
1⋅23=8
0⋅22=0
1⋅21=2
1⋅20=1
Sum of Integer Part=8+0+2+1=11
2. For the Fractional Part (.01):
0⋅2−1=0⋅0.5=0
1⋅2−2=1⋅0.25=0.25
Sum of Fractional Part=0+0.25=0.25
3. Final Addition:
Decimal Value=11+0.25=11.25
Final Solution
The decimal equivalent of (1011.01)2 is:
(11.25)10

