Question

1. Convert the following Binary numbers to Decimal numbers

A . ( 10011 ) 2 = ( ? )10

B. (110101) 2 = ( ? ) 10​

Answer 1

Step-by-step explanation:

Given:

A . ( 10011 )2 = ( ? )10

B. (110101) 2 = ( ? ) 10

To find:Convert the following Binary numbers to Decimal numbers.

Solution:

To convert binary into its equivalent decimal number,just multiply digits from right to left with its equivalent weight.

$A.(10011)_2 = ()_{10} \\ \\ = > 1 \times {2}^{4} + 0 \times {2}^{3} + 0 \times {2}^{2} + 1 \times {2}^{1} + 1 \times {2}^{0} \\ \\ = > 16 + 0 + 0 + 2 + 1 \\ \\ = > 19 \\ \\ \bold{(10011)_2 = (19)_{10}}$

By the same way

$B.(110101)_2 = ()_{10} \\ \\ = > 1 \times {2}^{5} + 1 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0} \\ \\ = > 32 + 16 + 0 + 4 + 0 + 1 \\ \\ = 53 \\ \\ \bold{(110101)_2 = (53)_{10}}$

Hope it helps you.

To learn more on brainly:

Convert the following binary numbers into decimal numbers 100110

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