Question

how to convert binary number in decimal numeral (base 10)
1) 101
2) 1111
3) 11010
4) 1010010
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Answer 1

Answer:

1)5 2)15 3)26 4)82

Step-by-step explanation:

Binary number system has only two digits 0 and 1

hence we convert binary to decimal by multiplyiing the digits of binary number by 2^(its weight) and then adding them up

Examples:

1) 101 = 1(2²) + (0)2¹ + 1(2⁰) = 5

2) 1111 = 1(2³) + 1(2²) + 1(2¹) + 1(2⁰) = 15

3) 11010 = 1(2⁴) + 1(2³) + 0(2²) + 1(2¹) + 0(2⁰) = 26

4) 1010010 = 1(2⁶) + 0(2⁵) + 1(2⁴) + 0(2³) + 0(2²) + 1(2¹) + 0(2⁰) = 82

Hope you get it :)