# Two's Complement Converter

Please enter the decimal number or binary number and select the

 Decimal Number : Binary Number :

 Two's Complement :

This is a decimal/binary to two's complement converter and a two's complement to decimal converter.

It is a system in which the negative numbers are represented by the two's complement of the absolute value.

## Example

-9 converts to 11110111 (to 8 bits), which is -9 in two’s complement.

Complementing it would make it 9, or 00001001 to 8 bits.

The two’s complement is a method for representing positive and negative integer values in the decimal number system.

The two’s complement automatically includes the sign bit.

If input number is a decimal number(with or without sign) then we covert decimal number into binary number else we first form the one's complement for given binary number and then add 1 to the one’s complement.

### Two’s complement for binary number

Step 1: Begin with the binary value

10011001

Step 2: Formed the one's complement as follows:

01100110

Step 3: Add 1 to the one's complement

01100110 (One's complement)

--------------

01100111 (Two's complement)

--------------

### Two’s complement for decimal number

lets take the example of decimal (-44) to form 2's complements as follows:

Step 1: Begin with the decimal value -44

The value will be converted into binary as 00101100

Step 2: Formed the one's complement as follows:

11010011

Step 3: Add 1 to the one's complement

11010011 (One's complement)

+ 1

---------------

11010100 (Two's complement)

---------------

Decimal
2's complement
1's complement
Decimal(-)
2's complement
1's complement
0
0000 0000
1111 1111
1
0000 0001
1111 1110
-1
1111 1111
0000 0000
2
0000 0010
1111 1101
-2
1111 1110
0000 0001
3
0000 0011
1111 1100
-3
1111 1101
0000 0010
4
0000 0100
1111 1011
-4
1111 1100
0000 0011
5
0000 0101
1111 1010
-5
1111 1011
0000 0100
6
0000 0110
1111 1001
-6
1111 1010
0000 0101
7
0000 0111
1111 1000
-7
1111 1001
0000 0110
8
0000 1000
1111 0111
-8
1111 1000
0000 0111
9
0000 1001
1111 0110
-9
1111 0111
0000 1000
10
0000 1010
1111 0101
-10
1111 0110
0000 1001
11
0000 1011
1111 0100
-11
1111 0101
0000 1010
12
0000 1100
1111 0011
-12
1111 0100
0000 1011
13
0000 1101
1111 0010
-13
1111 0011
0000 1100
14
0000 1110
1111 0001
-14
1111 0010
0000 1101
15
0000 1111
1111 0000
-15
1111 0001
0000 1110
16
0001 0000
1110 1111
-16
1111 0000
0000 1111
17
0001 0001
1110 1110
-17
1110 1111
0001 0000
18
0001 0010
1110 1101
-18
1110 1110
0001 0001
19
0001 0011
1110 1100
-19
1110 1101
0001 0010
20
0001 0100
1110 1011
-20
1110 1100
0001 0011
21
0001 0101
1110 1010
-21
1110 1011
0001 0100
22
0001 0110
1110 1001
-22
1110 1010
0001 0101
23
0001 0111
1110 1000
-23
1110 1001
0001 0110
24
0001 1000
1110 0111
-24
1110 1000
0001 0111
25
0001 1001
1110 0110
-25
1110 0111
0001 1000
26
0001 1010
1110 0101
-26
1110 0110
0001 1001
27
0001 1011
0001 0100
-27
1110 0101
0001 1010
28
0001 1100
1110 0011
-28
1110 0100
0001 1011
29
0001 1101
1110 0010
-29
1110 0011
0001 1100
30
0001 1110
1110 0001
-30
1110 0010
0001 1101
31
0001 1111
1110 0000
-31
1110 0001
0001 1110
32
0010 0000
1101 1111
-32
1110 0000
0001 1111
33
0010 0001
1101 1110
-33
1101 1111
0010 0000
34
0010 0010
1101 1101
-34
1101 1110
0010 0001
35
0010 0011
1101 1100
-35
1101 1101
0010 0010
36
0010 0100
1101 1011
-36
1101 1100
0010 0011
37
0010 0101
1101 1010
-37
1101 1011
0010 0100
38
0010 0110
1101 1001
-38
1101 1010
0010 0101
39
0010 0111
1101 1000
-39
1101 1001
0010 0110
40
0010 1000
1101 0111
-40
1101 1000
0010 0111
41
0010 1001
1101 0110
-41
1101 0111
0010 1000
42
0010 1010
1101 0101
-42
1101 0110
0010 1001
43
0010 1011
1101 0100
-43
1101 0101
0010 1010
44
0010 1100
1101 0010
-44
1101 0100
0010 1011
45
0010 1101
1101 0010
-45
1101 0011
0010 1100
46
0010 1110
1101 0001
-46
1101 0010
0010 1101
47
0010 1111
1101 0000
-47
1101 0001
0010 1110
48
0011 0000
1100 1111
-48
1101 0000
0010 1111
49
0011 0001
1100 1110
-49
1100 1111
0011 0000
50
0011 0010
1100 1101
-50
1100 1110
0011 0001
51
0011 0011
1100 1100
-51
1100 1101
0011 0010
52
0011 0100
1100 1011
-52
1100 1100
0011 0011
53
0011 0101
1100 1010
-53
1100 1011
0011 0100
54
0011 0110
1100 1001
-54
1100 1010
0011 0101
55
0011 0111
1100 1000
-55
1100 1001
0011 0110
56
0011 1000
1100 0111
-56
1100 1000
0011 0111
57
0011 1001
1100 0110
-57
1100 0111
0011 1000
58
0011 1010
1100 0101
-58
1100 0110
0011 1001
59
0011 1011
1100 0100
-59
1100 0101
0011 1010
60
0011 1100
1100 0011
-60
1100 0100
0011 1011
61
0011 1101
1100 0010
-61
1100 0011
0011 1100
62
0011 1110
1100 0001
-62
1100 0010
0011 1101
63
0011 1111
1100 0000
-63
1100 0001
0011 1110
64
0100 0000
1011 1111
-64
1100 0000
0011 1111
65
0100 0001
1011 1110
-65
1011 1111
0100 0000
66
0100 0010
1011 1101
-66
1011 1110
0100 0001
67
0100 0011
1011 1100
-67
1011 1101
0100 0010
68
0100 0100
1011 1011
-68
1011 1100
0100 0011
69
0100 0101
1011 1010
-69
1011 1011
0100 0100
70
0100 0110
1011 1001
-70
1011 1010
0100 0101
71
0100 0111
1011 1000
-71
1011 1001
0100 0110
72
0100 1000
1011 0111
-72
1011 1000
0100 0111
73
0100 1001
1011 0110
-73
1011 0111
0100 1000
74
0100 1010
1011 0101
-74
1011 0110
0100 1001
75
0100 1011
1011 0100
-75
1011 0101
0100 1010
76
0100 1100
1011 0011
-76
1011 0100
0100 1011
77
0100 1101
1011 0010
-77
1011 0011
0100 1100
78
0100 1110
1011 0001
-78
1011 0010
0100 1101
79
0100 1111
1011 0000
-79
1011 0001
0100 1110
80
0101 0000
1010 1111
-80
1011 0000
0100 1111
81
0101 0001
1010 1110
-81
1010 1111
0101 0000
82
0101 0010
1010 1101
-82
1010 1110
0101 0001
83
0101 0011
1010 1100
-83
1010 1101
0101 0010
84
0101 0100
1010 1011
-84
1010 1100
0101 0011
85
0101 0101
1010 1010
-85
1010 1011
0101 0100
86
0101 0110
1010 1001
-86
1010 1010
0101 0101
87
0101 0111
1010 1000
-87
1010 1001
0101 0110
88
0101 1000
1010 0111
-88
1010 1000
0101 0111
89
0101 1001
1010 0110
-89
1010 0111
0101 1000
90
0101 1010
1010 0101
-90
1010 0110
0101 1001
91
0101 1011
1010 0100
-91
1010 0101
0101 1010
92
0101 1100
1010 0011
-92
1010 0100
0101 1011
93
0101 1101
1010 0010
-93
1010 0011
0101 1100
94
0101 1110
1010 0001
-94
1010 0010
0101 1101
95
0101 1111
1010 0000
-95
1010 0001
0101 1110
96
0110 0000
1001 1111
-96
1010 0000
0101 1111
97
0110 0001
1001 1110
-97
1001 1111
0110 0000
98
0110 0010
1001 1101
-98
1001 1110
0110 0001
99
0110 0011
1001 1100
-99
1001 1101
0110 0010
100
0110 0100
1001 1011
-100
1001 1100
0110 0011
101
0110 0101
1001 1010
-101
1001 1011
0110 0100
102
0110 0110
1001 1001
-102
1001 1010
0110 0101
103
0110 0111
1001 1000
-103
1001 1001
0110 0110
104
0110 1000
1001 0111
-104
1001 1000
0110 0111
105
0110 1001
1001 0110
-105
1001 0111
0110 1000
106
0110 1010
1001 0101
-106
1001 0110
0110 1001
107
0110 1011
1001 0100
-107
1001 0101
0110 1010
108
0110 1100
1001 0011
-108
1001 0100
0110 1011
109
0110 1101
1001 0010
-109
1001 0011
0110 1100
110
0110 1110
1001 0001
-110
1001 0010
0110 1101
111
0110 1111
1001 0000
-111
1001 0001
0110 1110
112
0111 0000
1000 1111
-112
1001 0000
0110 1111
113
0111 0001
1000 1110
-113
1000 1111
0111 0000
114
0111 0010
1000 1101
-114
1000 1110
0111 0001
115
0111 0011
1000 1100
-115
1000 1101
0111 0010
116
0111 0100
1000 1011
-116
1000 1100
0111 0011
117
0111 0101
1000 1010
-117
1000 1011
0111 0100
118
0111 0110
1000 1001
-118
1000 1010
0111 0101
119
0111 0111
1000 1000
-119
1000 1001
0111 0110
120
0111 1000
1000 0111
-120
1000 1000
0111 0111
121
0111 1001
1000 0110
-121
1000 0111
0111 1000
122
0111 1010
1000 0101
-122
1000 0110
0111 1001
123
0111 1011
1000 0100
-123
1000 0101
0111 1010
124
0111 1100
1000 0011
-124
1000 0100
0111 1011
125
0111 1101
1000 0010
-125
1000 0011
0111 1100
126
0111 1110
1000 0001
-126
1000 0010
0111 1101
127
0111 1111
1000 0000
-127
1000 0001
0111 1110
-128
1000 0000
0111 1111