Two's (2's) Complement Calculator

Two’s complement calculator finds the 2’s complement for the given binary numbers. Our online 2s complement calculator calculates the opposite of a binary number in its twos complement representation for binary, decimal, and signed binary to decimal or hexadecimal numbers.

What Is Two’s Complement?

Two’s Complement to decimal is the mathematical operation to reform a positive binary number into a negative binary number with an equivalent negative value.

To get the 2’s complement, just exchange a certain binary number bit by bit and add 1 to the least significant bit.

How To Calculate The Two’s Complement?

Converting the binary numbers into 2’s complement is processed by adding 1 to the right side position. With the help of the two’s complement calculator, you can change the number into one’s complement, twos complement, binary to decimal, and hexadecimal within seconds which saves you a lot of time.

Let's move on a little bit further to examine an example!

Suppose we have a number (643)10. After converting the number into the 2’s complement we get,

(1100000101)2

Now, Inverting all bits convert 1 to 0, and 0 to 1:

1st Complement = (0011111010)2

For the second complement add 1:

2nd Complement = (0011111011)2

Working of Two's Complement Calculator:

No doubt number conversion looks daunting but decimal to 2’s complement calculator makes it easy by just putting the expressions in the field. Follow the below points to compute the 2s complement.

Input:

Select the number option either what you want to calculate (binary, decimal, hexadecimal)
Put the values in the field
Chose the number of binary digits
Tap “Calculate”

Output:

With the help of our Two’s complement calculator, you can get the following calculations:

2nd complement of a given number
Decimal, binary, hexadecimal, and 1's complement
The addition & subtraction of two's complement binary number
Step-by-step calculation

FAQs:

What Is 8-bit Binary?

8-bit two complements to decimal is the indication of the positive integers from -128 to 127 (01111111).

Where Are Two’s Complements Used?

It is mainly used to indicate binary numbers and in their arithmetic operations. It is very functional in computer number representation.

Two’s Complement Table:

In a binary system, all numbers are a combination of two digits 0 and 1. What is the complement of -30? Look at this one in the below table.

Decimal	Two’s Complement	Decimal	Two’s Complement
1	1111 1111	-1	0000 0001
2	1111 1110	-2	0000 0010
3	1111 1101	-3	0000 0011
4	1111 1100	-4	0000 0100
5	1111 1011	-5	0000 0101
6	1111 1010	-6	0000 0110
7	1111 1001	-7	0000 0111
8	1111 1000	-8	0000 1000
9	1111 0111	-9	0000 1001
10	1111 0110	-10	0000 1010
11	1111 0101	-11	0000 1011
12	1111 0100	-12	0000 1100
13	1111 0011	-13	0000 1101
14	1111 0010	-14	0000 1110
15	1111 0001	-15	0000 1111
16	1111 0000	-16	0001 0000
17	1110 1111	-17	0001 0001
18	1110 1110	-18	0001 0010
19	1110 1101	-19	0001 0011
20	1110 1100	-20	0001 0100
21	1110 1011	-21	0001 0101
22	1110 1010	-22	0001 0110
23	1110 1001	-23	0001 0111
24	1110 1000	-24	0001 1000
25	1110 0111	-25	0001 1001
26	1110 0110	-26	0001 1010
27	1110 0101	-27	0001 1011
28	1110 0100	-28	0001 1100
29	1110 0011	-29	0001 1101
30	1110 0010	-30	0001 1110
31	1110 0001	-31	0001 1111
32	1110 0000	-32	0010 0000
33	1101 1111	-33	0010 0001
34	1101 1110	-34	0010 0010
35	1101 1101	-35	0010 0011
36	1101 1100	-36	0010 0100
37	1101 1011	-37	0010 0101
38	1101 1010	-38	0010 0110
39	1101 1001	-39	0010 0111
40	1101 1000	-40	0010 1000
41	1101 0111	-41	0010 1001
42	1101 0110	-42	0010 1010
43	1101 0101	-43	0010 1011
44	1101 0100	-44	0010 1100
45	1101 0011	-45	0010 1101
46	1101 0010	-46	0010 1110
47	1101 0001	-47	0010 1111
48	1101 0000	-48	0011 0000
49	1100 1111	-49	0011 0001
50	1100 1110	-50	0011 0010
51	1100 1101	-51	0011 0011
52	1100 1100	-52	0011 0100
53	1100 1011	-53	0011 0101
54	1100 1010	-54	0011 0110
55	1100 1001	-55	0011 0111
56	1100 1000	-56	0011 1000
57	1100 0111	-57	0011 1001
58	1100 0110	-58	0011 1010
59	1100 0101	-59	0011 1011
60	1100 0100	-60	0011 1100
61	1100 0011	-61	0011 1101
62	1100 0010	-62	0011 1110
63	1100 0001	-63	0011 1111
64	1100 0000	-64	0100 0000
65	1011 1111	-65	0100 0001
66	1011 1110	-66	0100 0010
67	1011 1101	-67	0100 0011
68	1011 1100	-68	0100 0100
69	1011 1011	-69	0100 0101
70	1011 1010	-70	0100 0110
71	1011 1001	-71	0100 0111
72	1011 1000	-72	0100 1000
73	1011 0111	-73	0100 1001
74	1011 0110	-74	0100 1010
75	1011 0101	-75	0100 1011
76	1011 0100	-76	0100 1100
77	1011 0011	-77	0100 1101
78	1011 0010	-78	0100 1110
79	1011 0001	-79	0100 1111
80	1011 0000	-80	0101 0000
81	1010 1111	-81	0101 0001
82	1010 1110	-82	0101 0010
83	1010 1101	-83	0101 0011
84	1010 1100	-84	0101 0100
85	1010 1011	-85	0101 0101
86	1010 1010	-86	0101 0110
87	1010 1001	-87	0101 0111
88	1010 1000	-88	0101 1000
89	1010 0111	-89	0101 1001
90	1010 0110	-90	0101 1010
91	1010 0101	-91	0101 1011
92	1010 0100	-92	0101 1100
93	1010 0011	-93	0101 1101
94	1010 00100	-94	0101 1110
95	1010 0001	-95	0101 1111
96	1010 0000	-96	0110 0000
97	1001 1111	-97	0110 0001
98	1001 1110	-98	0110 0010
99	1001 1101	-99	0110 0011
100	1001 1100	-100	0110 0100
101	1001 1011	-101	0110 0101
102	1001 1010	-102	0110 0110
103	1001 1001	-103	0110 0111
104	1001 1000	-104	0110 1000
105	1001 0111	-105	0110 1001
106	1001 0110	-106	0110 1010
107	1001 0101	-107	0110 1011
108	1001 0100	-108	0110 1100
109	1001 0011	-109	0110 1101
110	1001 0010	-110	0110 1110
111	1001 0001	-111	0110 1111
112	1001 0000	-112	0111 0000
113	1000 1111	-113	0111 0001
114	1000 1110	-114	0111 0010
115	1000 1101	-115	0111 0011
116	1000 1100	-116	0111 0100
117	1000 1011	-117	0111 0101
118	1000 1010	-118	0111 0110
119	1000 1001	-119	0111 0111
120	1000 1000	-120	0111 1000
121	1000 0111	-121	0111 1001
122	1000 0110	-122	0111 1010
123	1000 0101	-123	0111 1011
124	1000 0100	-124	0111 1100
125	1000 0011	-125	0111 1101
126	1000 0010	-126	0111 1110
127	1000 0001	-127	0111 1111
-128	1000 0000

References:

From the source Wikipedia: Two complement, Converting from two's complement representation.

Two's Complement Calculator

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