Number Conversion

Two's Complement Converter

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)

+ 1 (Add 1)

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01100111 (Two's complement)

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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)

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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