Solution: Binary to Decimal Conversion

The solution of the exercise Exercise: Binary to Decimal Conversion are the followings:

Serial	Binary	Decimal
[a]	11011110	222
[b]	10011011	155
[c]	10101110	174
[d]	11000111	199
[e]	01110101	117
[f]	11111111	255
[g]	11110000	240
[h]	00011010	26
[i]	00111001	57
[j]	00000101	5
[k]	01001111	79
[l]	11100101	229
[m]	01101111	111
[n]	00011001	25
[o]	01101011	107
[p]	10010101	149
[q]	01111000	120
[r]	10000101	133
[s]	11100000	224
[t]	00100001	33
[u]	11110110	246
[v]	01111011	123
[w]	01001000	72
[x]	00000011	3
[y]	11000000	192
[z]	01000001	65

Exercise: Binary to Decimal Conversion

In the tutorial Binary to Decimal Conversion, we discussed how to convert binary number to decimal number. Later, two examples (Example 1: Convert the binary number 11110110 to decimal number and Example 2: Convert the binary number 100000101 to decimal number) are discussed.

Here, we do some exercise so that we could do this conversion easily. So, let’s do the following exercises:

Note: The answers of these exercises will be provided at the lower part of this page. We recommended to do yourself and then check whether your answers are correct form the solution sheet.

Serial	Binary	Decimal
[a]	11011110
[b]	10011011
[c]	10101110
[d]	11000111
[e]	01110101
[f]	11111111
[g]	11110000
[h]	00011010
[i]	00111001
[j]	00000101
[k]	01001111
[l]	11100101
[m]	01101111
[n]	00011001
[o]	01101011
[p]	10010101
[q]	01111000
[r]	10000101
[s]	11100000
[t]	00100001
[u]	11110110
[v]	01111011
[w]	01001000
[x]	00000011
[y]	11000000
[z]	01000001

Solution: Binary to Decimal Conversion

Convert the binary number 10000101 to decimal number

We have the binary number 10000101. Now, we have to convert this binary number to decimal number. To do this, we will follow the tutorial Binary to Decimal Conversion to convert this binary number to decimal number.

So, firstly we have to mark those bits where binary 1 is present and then write those weighted values. And finally we have to add those weighted values to get the final decimal value of that binary number.

In our binary number 10000101, we see there are six binary 1 presents and those bits weighted values are 128, 4 and 1. At last, sum those weighted values and we get the decimal number. The detail calculations are the followings:

	128
	  4
+	  1
-------------
	233

Binary number: 1000010

Decimal number: 133

Convert the binary number 11110110 to decimal number

We have the binary number 11110110. Now, we have to convert this binary number to decimal number. To do this, we will follow the tutorial Binary to Decimal Conversion to convert this binary number to decimal number.

So, firstly we have to mark those bits where binary 1 is present and then write those weighted values. And finally we have to add those weighted values to get the final decimal value of that binary number.

In our binary number 11110110, we see there are six binary 1 presents and those bits weighted values are 128, 64, 32, 16,4 and 2. At last, sum those weighted values and we get the decimal number. The detail calculations are the followings:

	128
	 64
	 32
	 16
	  4
+	  2
-------------
	246

Binary number: 11110110

Decimal number: 246

Binary to Decimal Conversion

1We have discussed how to convert decimal to binary. In this tutorial, we learn how to convert binary to decimal. Binary to decimal conversion is easier then decimal to binary conversion. Here, we again use the cheat cheat of weighted value of binary bits. The cheat sheet of weighted values of binary bits is the following:

Steps to convert binary to decimal:

Step 1: Mark the bits of the binary number where binary 1 exists and pick the weighted values of those corresponding bits (where binary 1 discovers)

Step 2: Sum of those weighted values and you will get a total and that’s the decimal number of that binary number.

Examples to convert binary to decimal with Explanation:

• Convert the binary number 11110110 to decimal number
• Convert the binary number 100000101 to decimal number