Table of binary numbers

Our digital world is built on the foundation of binary numbers. These numbers use only two digits, 0 and 1, to represent information. It may seem simple, but understanding binary is crucial for understanding computers, programming languages, and various digital technologies.

This article explains the importance of binary numbers, providing a binary table from 1 to 100, along with explanations and related questions.

What is a Binary Table?

A binary table, also known as a binary number table, binary chart numbers, or simply a binary number list, is a table that displays the equivalent of decimal numbers in their corresponding binary format.

This table helps bridge the gap between the decimal system we are accustomed to, and the binary system computers use. It allows for easy decimal-to-binary conversion and vice versa.

Binary Table from 1 to 100

Here's a chart showing the decimal numbers from 1 to 100 and their corresponding binary equivalents:

Decimal number values in binary, octal, and hexadecimal (1 to 100)

Decimal	Binary	Octal	Hexadecimal
0	0	0	0
1	1	1	1
2	10	2	2
3	11	3	3
4	100	4	4
5	101	5	5
6	110	6	6
7	111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F
16	10000	20	10
17	10001	21	11
18	10010	22	12
19	10011	23	13
20	10100	24	14
21	10101	25	15
22	10110	26	16
23	10111	27	17
24	11000	30	18
25	11001	31	19
26	11010	32	1A
27	11011	33	1B
28	11100	34	1C
29	11101	35	1D
30	11110	36	1E
31	11111	37	1F
32	100000	40	20
33	100001	41	21
34	100010	42	22
35	100011	43	23
36	100100	44	24
37	100101	45	25
38	100110	46	26
39	100111	47	27
40	101000	50	28
41	101001	51	29
42	101010	52	2A
43	101011	53	2B
44	101100	54	2C
45	101101	55	2D
46	101110	56	2E
47	101111	57	2F
48	110000	60	30
49	110001	61	31
50	110010	62	32
51	110011	63	33
52	110100	64	34
53	110101	65	35
54	110110	66	36
55	110111	67	37
56	111000	70	38
57	111001	71	39
58	111010	72	3A
59	111011	73	3B
60	111100	74	3C
61	111101	75	3D
62	111110	76	3E
63	111111	77	3F
64	1000000	100	40
65	1000001	101	41
66	1000010	102	42
67	1000011	103	43
68	1000100	104	44
69	1000101	105	45
70	1000110	106	46
71	1000111	107	47
72	1001000	110	48
73	1001001	111	49
74	1001010	112	4A
75	1001011	113	4B
76	1001100	114	4C
77	1001101	115	4D
78	1001110	116	4E
79	1001111	117	4F
80	1010000	120	50
81	1010001	121	51
82	1010010	122	52
83	1010011	123	53
84	1010100	124	54
85	1010101	125	55
86	1010110	126	56
87	1010111	127	57
88	1011000	130	58
89	1011001	131	59
90	1011010	132	5A
91	1011011	133	5B
92	1011100	134	5C
93	1011101	135	5D
94	1011110	136	5E
95	1011111	137	5F
96	1100000	140	60
97	1100001	141	61
98	1100010	142	62
99	1100011	143	63
100	1100100	144	64

As you can see, the table starts with simple patterns for small numbers. However, as the decimal values increase, the binary representations become longer and more complex.

Beyond the Table: Additional Resources

While the provided table offers a starting point, understanding binary requires exploring further resources. Here are some suggestions:

Binary conversion tools:

Many online tools like binary-translator.com allow you to enter a decimal number and instantly see its binary equivalent, or vice versa. These tools can help you practice conversions and solidify your understanding.

Online tutorials and videos:

Numerous educational resources are available online that explain the concept of binary numbers in detail, often using visual aids and animations to make it easier to grasp.

Books and courses:

For a deeper dive, consider exploring dedicated books or online courses on binary numbers and computer architecture. Below are some online resources:

https://www.cs.ucr.edu/~ehwang/courses/cs120a/00winter/binary.pdf

https://www.amazon.com/Understanding-Binary-Numbers-Concepts-Computer/dp/1982968214

https://www.sciencedirect.com/topics/computer-science/binary-to-decimal-conversion

https://courses.cs.washington.edu/courses/cse351/16au/lectures/CSE351-L02-binary_16au.pdf

Binary Table FAQs: Frequently Asked Questions

What are binary numbers?

Binary numbers are a base-2 numeral system consisting of only two digits: 0 and 1. They are fundamental in digital computing and electronics, representing data and instructions using a series of bits.

Why are binary numbers important?

Binary numbers are crucial because computers, digital devices, and electronic systems communicate and process information using binary representation. Understanding binary numbers is essential for programming, data processing, and computer architecture.

How do I convert decimal numbers to binary?

To convert a decimal number to binary:

Divide the decimal number by 2.
Record the remainder as a binary digit.
Repeat the process with the quotient until it equals 0.
The binary number is read from the last remainder obtained to the first.

What is an ASCII binary table?

An ASCII binary table is a reference table that maps ASCII characters to their binary representations. It facilitates the conversion of text-based data into binary form for processing in digital systems.

What are the values of binary numbers 1 to 10?

Below are the values of binary numbers from 1 to 10:

0001
0010
0011
0100
0101
0110
0111
1000
1001
1010