Question

convert the given binary number(10.101)into decimal equivalent with step​

Answer 1

Answer:

10.101 from binary to decimal is 2.625.

Answer 2

The Decimal equivalent of 10.101 is 2.625

GIVEN

Binary number = 10.101

TO FIND

To find the decimal equivalent of the given numbers.

SOLUTION

We can simply solve the above problem as follows-

We know that the given binary number has an integer part and a fractional part. We will convert the integer and fractional parts separately and find the sum of the two to form a decimal equivalent of 10.101.

Binary number = 10.101

Integer Part = 10

Fractional part = 101

Convert 10 to decimal -

0 = 0×2⁰ = 0

1 = 1 × 2¹ = 2

Decimal equivalent of 10 = 0+2 = 2

Convert 0.101 to decimal

1 × 2⁻¹ = 0.5

0× 2⁻² = 0

1 × 2⁻³ = 0.125

Decimal equivalent of 0.101 = 0.625

Decimal equivalent of 10.101 = 2+0.625 = 2.625

Hence, The Decimal equivalent of 10.101 is 2.625

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