How I convert binary to decimal step by step number is 1011
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Answered by
1
Hey mate this is your answer ❤️❤️
For binary number with n digits:
dn-1 ... d3 d2 d1 d0
The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
decimal = d0×20 + d1×21 + d2×22 + ...
Example
Find the decimal value of 1110012:
binary number:
1
1
1
0
0
1
power of 2:
25
24
23
22
21
20
1110012 = 1⋅25+1⋅24+1⋅23+0⋅22+0⋅21+1⋅20 = 5710
Binary to decimal conversion table
Binary
Number
Decimal
Number
Hex
Number
0
0
0
1
1
1
10
2
2
11
3
3
100
4
4
101
5
5
110
6
6
111
7
7
1000
8
8
1001
9
9
1010
10
A
1011
11
B
1100
12
C
1101
13
D
1110
14
E
1111
15
F
10000
16
10
10001
17
11
10010
18
12
10011
19
13
10100
20
14
10101
21
15
10110
22
16
10111
23
17
11000
24
18
11001
25
19
11010
26
1A
11011
27
1B
11100
28
1C
11101
29
1D
11110
30
1E
11111
31
1F
100000
32
20
1000000
64
40
10000000
128
80
100000000
256
100
Have a nice day ❤️❤️
Mark as brainliest ❤️❤️ plz..
This is your answer ❤️
Binary 1011=11
Hope it may help you❤️❤️❤️
For binary number with n digits:
dn-1 ... d3 d2 d1 d0
The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
decimal = d0×20 + d1×21 + d2×22 + ...
Example
Find the decimal value of 1110012:
binary number:
1
1
1
0
0
1
power of 2:
25
24
23
22
21
20
1110012 = 1⋅25+1⋅24+1⋅23+0⋅22+0⋅21+1⋅20 = 5710
Binary to decimal conversion table
Binary
Number
Decimal
Number
Hex
Number
0
0
0
1
1
1
10
2
2
11
3
3
100
4
4
101
5
5
110
6
6
111
7
7
1000
8
8
1001
9
9
1010
10
A
1011
11
B
1100
12
C
1101
13
D
1110
14
E
1111
15
F
10000
16
10
10001
17
11
10010
18
12
10011
19
13
10100
20
14
10101
21
15
10110
22
16
10111
23
17
11000
24
18
11001
25
19
11010
26
1A
11011
27
1B
11100
28
1C
11101
29
1D
11110
30
1E
11111
31
1F
100000
32
20
1000000
64
40
10000000
128
80
100000000
256
100
Have a nice day ❤️❤️
Mark as brainliest ❤️❤️ plz..
This is your answer ❤️
Binary 1011=11
Hope it may help you❤️❤️❤️
ekta622:
musga samaj nahi aaya OK fine
Answered by
2
1011 in binary→Decimal
Place:. 3 2 1 0 ←POWERS
Number: 1 0 1 1
To convert a number from Binary to decimal we add the product of each digit with the corresponding power of 2 (i.e starting from 0, 1,2 from the right)
Required decimal number =
1×2³+0×2²+1×2¹+1×2^0
=8+0+2+1
=11
11 is the decimal number of 1011(Binary)
Place:. 3 2 1 0 ←POWERS
Number: 1 0 1 1
To convert a number from Binary to decimal we add the product of each digit with the corresponding power of 2 (i.e starting from 0, 1,2 from the right)
Required decimal number =
1×2³+0×2²+1×2¹+1×2^0
=8+0+2+1
=11
11 is the decimal number of 1011(Binary)
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