Two's Complement Converter
If 1's Complement is just "flipping switches," 2's Complement is flipping the switches and then adding one more. It is the most common way computers represent negative numbers.
1. Original Binary (e.g., 10)
1
0
1
0
2. Step 1: Flip all bits
0
1
0
1
3. Step 2: Add 1 to result
+
1
Final 2's Complement:
0
1
1
0
This is a decimal/binary to two's complement converter and a two's complement to decimal converter.
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)
+ 1 (Add 1)
--------------
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
(Add 1)
---------------
11010100 (Two's complement)
---------------
One's and Two's complement for decimal value 0 to 127 and -1 to -128
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
