Question

convert binary numbers into decimal number (1011)2​

Answer 1

Answer:

(11)10

Explanation:

1  0  1  1

last digit a.k.a 1*(two to the power 0) 1*1

third digit digit i.e 1*(two to the power 1) 1*2

second digit i.e 0*(two to the power 2)0*4

first digit i.e 1*(two to the power 3)1*8

(keep on increasing powers and multiply by the base you are converting)

1*1=1

1*2=2

0*4=0

1*8=8

then add all the answers and the result is (11)10

1+2+0+8=11

hope you find it useful

Answer 2

The decimal equivalent of the given binary number $(1011)_2$ is 11.

Explanation:

• Here, we are given a binary number which we need to convert into decimal equivalent.
• Given number is $(1011)_2$.
• In this conversion method, if a number with base n should be regenerated into a number with base ten, then every digit of the given number is increased from the Most Significant bit (MSB) to the least significant bit (LSB) with reducing the ability of the bottom.
• As the binary number has a base of2, we need to rewrite the number in the decimal form.

        $(1011)_2=(1\times2^3)+(0\times2^2)+(1\times2^1)+(1\times2^0)$

                    $=8+0+2+1$

                    $=11$

Hence, The decimal equivalent of the given binary number $(1011)_2$ is 11.