Binary to Decimal Converter Online Free

▪ Convert any Binary Number to Decimal Number
▪ Put Valid Binary value or number, then click on the “Convert” button

How to Convert Binary to Decimal Number System

For binary numbers with n digits:

dn-1 … d3 d2 d1 d0

The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):

decimal = d0×20 + d1×21 + d2×22 + …

Example

Find the decimal value of 1110012:

binary number:111001
power of 2:252423222120

1110012 = 1⋅25+1⋅24+1⋅23+0⋅22+0⋅21+1⋅20 = 5710

Tips for Students

 ▪ At first understanding the process of converting a Binary number into a Decimal  Number.
 ▪ Then choose any Binary Number of you want to convert 
 ▪ Now, Convert the Binary number by using the formula by yourself 
 ▪ Then Check the Answer by using this "Binary to Decimal Converter" tool.
Binary to Decimal Converter Online Free

Binary to Decimal Conversion Table

Binary NumberDecimal NumberHex Number
000
111
1022
1133
10044
10155
11066
11177
100088
100199
101010A
101111B
110012C
110113D
111014E
111115F
100001610
100011711
100101812
100111913
101002014
101012115
101102216
101112317
110002418
110012519
11010261A
11011271B
11100281C
11101291D
11110301E
11111311F
1000003220
10000006440
1000000012880
100000000256100

Binary to Decimal Conversion Questions with Solutions

Q1. What is the binary number for decimal number 9? [UGC NET 25 Sep 2020 Shift 1]
A. 1100
B. 1001
C. 0111
D. 1011

Answer –B. 1001
Solution-
[Step 1] Divide 9 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

[Step 2] Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

[Step 3] Repeat Step 2 above until the Whole part is 0.

[Step 4] Write down the Remainders in reverse order to get the answer to 9 as a binary.


Q2. What will be the decimal equivalent for the binary number 1101110?
A. 121
B. 102
C. 115
D. 110

Answer – D. 110
Solution-
▪ Given binary number = (1101110)2

▪ Calculation: (1101110)2 = (1 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 0 × 20)10

▪ (64 + 32 + 8 + 4 + 2)10 ⇒ (110)10

▪ So, the decimal equivalent of the binary number (1101110)2 is (110)10.


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