# Computer Aptitude Questions – Binary to Decimal Conversion – Set 4

# Computer Aptitude Questions – Binary to Decimal Conversion – Set 4

Q.1) Convert the following binary numbers to decimal numbers.

110110_{2}

a) 58

b) 52

c) 54

d) 50

e) 51

**Explanation: c**

So,

2^{5} + 2^{4} + 0 + 2^{2 }+ 2^{1} + 0

= 32 + 16 = 0 + 4 + 2 + 0

= 54

Q.2)Convert the following binary numbers to decimal numbers.

101001_{2}

a) 39

b) 35

c) 44

d) 45

e) 41

**Explanation : Answer e**

= 2^{5} + 0 + 2^{3} + 0 + 0 + 2^{0 }

= 32 + 0 + 8 + 0 + 0 + 1

= 41

Q.3)Convert the following binary numbers to decimal numbers.

10111_{2}

a) 23

b) 25

c) 27

d) 33

e) 21

**Explanation : Answer a**

= 2^{4} + 0 + 2^{2 }+ 2^{1} + 2^{0}

= 16 + 0 + 4 + 2 + 1

= 23

Q.4)Convert the following binary numbers to decimal numbers.

110001_{2}

a) 45

b) 49

c) 51

d) 53

e) 46

**Explanation : Answer b**

= 2^{5} + 2^{4} + 0 + 0 + 0 + 2^{0}

= 32 + 16 + 1

= 49

Q.5)Convert the following binary numbers to decimal numbers.

1101110_{2}

a) 121

b) 102

c) 115

d) 110

e) 112

**Explanation : Answer d**

= 2^{6 }+ 2^{5} + 0 + 2^{3} + 2^{2} + 2^{1} + 0

= 64 + 32 + 8 + 4 + 2

= 110

Q.6) Convert the following binary numbers to decimal numbers.

1011101_{2}

a) 105

b) 95

c) 93

d) 83

e) 88

**Explanation : Answer C**

= 64 + 16 + 8 + 4 + 1

= 93

Q.7) Convert the following binary numbers to decimal numbers.

11010011_{2}

a) 211

b) 195

c) 205

d) 224

e) 216

**Explanation : Answer A**

= 2^{7} + 2^{6} + 0+ 2^{4 }+ 0 + 0 + 2^{1} + 2^{0}

= 128 + 64 + 0 + 16 + 0 + 0 + 2 + 1

= 211

Q.8) Convert the following binary numbers to decimal numbers.

1101100_{2}

a) 104

b) 115

c) 112

d) 108

e) 106

**Explanation : Answer d**

= 2^{6} + 2^{5} + 0 + 2^{3} + 2^{2} + 0 + 0

= 64 + 32 + 0 + 8 + 4 + 0 + 0

= 108

Q.9)Convert the following binary numbers to decimal numbers.

1000111_{2}

a) 71

b) 75

c) 69

d) 73

e) 86

**Explanation : Answer a**

= 2^{6} + 2^{2} + 2^{1} + 2^{0}

= 64 + 4 + 2 + 1

= 71

Q.10) Convert the following binary numbers to decimal numbers.

1110111_{2}

a) 181

b) 125

c) 119

d) 108

e) 96

**Explanation : Answer c**

= 2^{6} + 2^{5} + 2^{4} + 2^{2} + 2^{1} + 2^{0}

= 64 + 32 + 16 + 4 + 2 + 1

= 119

Related READS

**Decimal To Binary Conversion Set 1**