Question

Convert the following binary number system to decimal number system

a)0111.110
b) 1011.001​

Answer 1

Answer:

a) 7.75

b) 11.124

Step-by-step explanation:

a) 0111.110

to convert binary number system to decimal number system,

We will multiply units place by 2°, the

Multiply tens place by 2¹, then

multiply hundreds place by 2², then 2³....

For the digits after the point,

multiply units place by 2⁻¹,

Tens place by 2⁻²,

Hundreds place by 2⁻³.

Applying all this in question:

0×2³+1×2²+1×2¹+1×2°. 1×2⁻¹+1×2⁻²+0×2⁻³

4+2+1 . 0.5+0.25

7.75

b) applying the same in this part of the question,

1×2³+0×2²+1×2¹+1×2° . 0×2⁻¹+0×2⁻²+1×2⁻³

8+2+1 . 0+0+0.125

11.125

Hence, in decimal system a) 7.75 and b)11.125