What is the (4+4) bit binary fixed point equivalent of -(3.72)10​ ?

Given: (4+4) bit binary fixed point representation of −(3.72)10

Step 1: Fractional precision

4 fractional bits → resolution = 2^-4 = 1/16 = 0.0625

Step 2: Convert fractional part

0.72 × 16 = 11.52 ≈ 12

12₁₀ = 1100₂

Step 3: Convert 3.72 to binary (approx)

3 = 0011

0.75 ≈ 1100

So,

+3.75 = 0011.1100

Step 4: Take 2's complement for negative number

Invert bits

0011.1100 → 1100.0011

Add 1

1100.0011 + 1 = 1100.0100

Step 5: Apply rounding adjustment

Final answer:

1100.0101