Question

1 . How do you convert a binary number into a decimal number? Describe.

-
​

Answer 1

To convert a binary number into decimal number multiply the digit with 2^n where n is the place value of digit starting from zero and add all values . For Example :-

Binary number =(11101)_2

Starting from right of number :-

$\small{1 \times {2}^{0} + 0 \times {2}^{1} + 1 \times {2}^{2} + 1 \times {2}^{3} + 1 \times {2}^{4} } \\ \\ \small{ = 1 \times 1 + 0 \times 2 +1 \times 4 + 1 \times 8 + 1 \times 16 } \\ \\ \small{ = 1 + 0 + 4 + 8 + 16 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small{ = (29)_{10} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence ,Converted into decimal .