Menu Close

How to Convert Decimal to Binary?

Posted in C Programming, Computer Science, Digital Circuit

In computers, all data is ultimately represented using binary numbers. We need convert Decimal to Binary.

1. Conversion steps:

  1. Divide the number by 2.
  2. Get the integer quotient for the next iteration.
  3. Get the remainder for the binary digit.
  4. Repeat the steps until the quotient is equal to 0.

We can now explain how decimal numbers are converted to binary by giving an example.

In binary, 65 is represented as 1000001. Unlike using decimal digits 0 to 9 to represent numbers, in the binary system we only use two digits, 0 and 1 . We use 7 bits to represent 65 in binary.

In this chapter, we will show how to convert the decimal number 65 to binary.

  • 65 in Binary:65₁₀ = 1000001
  • 65 in Octal:65₁₀ = 101
  • 65 in Hexadecimal:>65₁₀ = 41₁₆
  • 1000001₂  in Decimal:6₁₀

Here are the steps to convert the decimal number 65 to binary:

  1. Divide 65 by 2, the quotient is 32 and the remainder is 1.
  2. Divide 32 by 2, the quotient is 16 and the remainder is 0.
  3. Divide 16 by 2, the quotient is 8 and the remainder is 0.
  4. Divide 8 by 2, the quotient is 4 and the remainder is 0.
  5. Divide 4 by 2, the quotient is 2 and the remainder is 0.
  6. Divide 2 by 2, the quotient is 1 and the remainder is 0.
  7. Divide 1 by 2, the quotient is 0 and the remainder is 1.

Reading the remainders in reverse order gives the binary representation of 65: 1000001.

Therefore, the decimal number 65 is converted to the binary number 1000001.

Related:   Basic Syntax of C Program Language

 

2. Decimal to Binary Conversion Table

Decimal
Number
Binary
Number
Hex
Number
0 0 0
1 1 1
2 10 2
3 11 3
4 100 4
5 101 5
6 110 6
7 111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
16 10000 10
17 10001 11
18 10010 12
19 10011 13
20 10100 14
21 10101 15
22 10110 16
23 10111 17
24 11000 18
25 11001 19
26 11010 1A
27 11011 1B
28 11100 1C
29 11101 1D
30 11110 1E
31 11111 1F
32 100000 20
64 1000000 40
128 10000000 80
256 100000000 100

Leave a Reply