Hex to Binary Converter

Write the hexadecimal value and click calculate button to get the binary number.

Table of Contents:

Hex to Binary
Give a brief idea about Hex to binary conversion
How to convert hex to binary?
Hex to Binary Table

Hex to Binary

Hex to Binary converter is used to convert hexadecimal numbers to binary numbers.

Give a brief idea about Hex to binary conversion

For conversion from hexadecimal to binary first, convert it in decimal and then take its lcm with 2 and write the remainder backwardly with base 2 and similarly, for converting in octal take lcm with 8 and write the remainder backwardly with base 8

How to convert hex to binary?

Example 1:

Change (41)₁₆in the binary number.

Solution

Step 1: Convert hex to decimal number

(41)₁₆ = 4 × 16¹ + 1 × 16⁰ = 64 + 1 = (65)₁₀

Step 2: Convert decimal to binary number to get hex to binary result.

2	65
2	32 - 1
2	16 – 0
2	8 - 0
2	4 – 0
2	2 – 0
	1 - 0

(65)₁₀ = (1000001)₂

Example 2:

Change (81)₁₆in the binary number.

Ans:

Solution

Step 1: Convert hex to decimal number

(81)₁₆ = 8 × 16¹ + 1 × 16⁰ = 128 + 1 = (129)₁₀

Step 2: Convert decimal to binary number to get hex to binary result.

2	129
2	64 – 1
2	32 - 0
2	16 – 0
2	8 - 0
2	4 – 0
2	2 – 0
	1 - 0

(65)₁₀ = (10000001)₂

_{Hex to Binary Table}

_{Below is the of hexadecimal to Binary conversion table:}

Hexadecimal	Binary
00	00000000
01	00000001
02	00000010
03	00000011
04	00000100
05	00000101
06	00000110
07	00000111
08	00001000
09	00001001
0A	00001010
0B	00001011
0C	00001100
0D	00001101
0E	00001110
0F	00001111
10	00010000
11	00010001
12	00010010
13	00010011
14	00010100
15	00010101
16	00010110
17	00010111
18	00011000
19	00011001
1A	00011010
1B	00011011
1C	00011100
1D	00011101
1E	00011110
1F	00011111
20	00100000
21	00100001
22	00100010
23	00100011
24	00100100
25	00100101
26	00100110
27	00100111
28	00101000
29	00101001
2A	00101010
2B	00101011
2C	00101100
2D	00101101
2E	00101110
2F	00101111
30	00110000
31	00110001
32	00110010
33	00110011
34	00110100
35	00110101
36	00110110
37	00110111
38	00111000
39	00111001
3A	00111010
3B	00111011
3C	00111100
3D	00111101
3E	00111110
3F	00111111
40	01000000
41	01000001
42	01000010
43	01000011
44	01000100
45	01000101
46	01000110
47	01000111
48	01001000
49	01001001
4A	01001010
4B	01001011
4C	01001100
4D	01001101
4E	01001110
4F	01001111
50	01010000
51	01010001
52	01010010
53	01010011
54	01010100
55	01010101
56	01010110
57	01010111
58	01011000
59	01011001
5A	01011010
5B	01011011
5C	01011100
5D	01011101
5E	01011110
5F	01011111
60	01100000
61	01100001
62	01100010
63	01100011
64	01100100
65	01100101
66	01100110
67	01100111
68	01101000
69	01101001
6A	01101010
6B	01101011
6C	01101100
6D	01101101
6E	01101110
6F	01101111
70	01110000
71	01110001
72	01110010
73	01110011
74	01110100
75	01110101
76	01110110
77	01110111
78	01111000
79	01111001
7A	01111010
7B	01111011
7C	01111100
7D	01111101
7E	01111110
7F	01111111

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