Represent decimal number 6.125 in IEEE single-precision floating point binary. Solve it step by step: 1. Convert to binary Integral part 6 --> Fractional part: 0.125 --> The whole binary (without sign) is 2. Normalize X 2 power of Actual decimal exponent E = Mantissa M = Sign 5 = 3. Add biased value E' = E + = so the biased exponent in binary is 4. Combine S, E', M to get the representation