What is the decimal equivalent of the floating point binary number 1011 1101.0110?

To find the decimal equivalent of the floating point binary number 1011 1101.0110, we first need to break it down into two parts: the integer part (before the binary point) and the fractional part (after the binary point).

Starting with the integer part, 1011 1101 in binary translates to:

• 1 × 2^7 = 128

• 0 × 2^6 = 0

• 1 × 2^5 = 32

• 1 × 2^4 = 16

• 1 × 2^3 = 8

• 0 × 2^2 = 0

• 1 × 2^1 = 2

• 1 × 2^0 = 1

Adding these values together gives:

128 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 187

Now, moving on to the fractional part, .0110 in binary translates to:

• 0 × 2^-1 = 0

• 1 × 2^-2 = 0.25

• 1 × 2^-3 = 0