Question

convert 1101.11 into its equivalent decimal no.
in copy plz

Answer 1

Decimal equivalent of "1" = 1 × 2^0 = 1

Decimal equivalent of "0" = 0 × 2^1 = 0

Decimal equivalent of "1" = 1 × 2^2 = 4

Decimal equivalent of "1" = 1 × 2^3 = 8

Decimal equivalent of "1101" = 8401

1101 = 13

Now we will convert the fractional part 0.11 to decimal form (Don't forget that we start from tenths palce to so on..):

Decimal equivalent of "1" = 1 × 2^-1 = 0.5

Decimal equivalent of "1" = 1 × 2^-2 = 0.25

Decimal equivalent of "0.11" = 0.50.25

0.11 = 0.75

Here is the final answer, The binary number 1101.11 converted to decimal is therefore equal to:

= 1101.112

= 1310 + 0.7510

= 13.7510

Answer 2

Answer:

1101.11² = 1∙2³+1∙2²+0∙2¹+1∙2⁰+1∙2-¹+1∙2-² = 8+4+0+1+0.5+0.25 = 13.7510