Single-precision IEEE-754 floating-point numbers are represented as follows:(-1)S * (1.M)*2(E - Bias)(Bias = 127)For the binary value 11000010 01111001 00000000 00000000 in single-precision IEEE-754floating point form, convert it to its decimal representation.S = 1 so negative numberExponent = 10000100 = 128 + 4 = 132132 – 127 (bias) = 5Mantissa = 1.1111001Shift binary point 5 spaces = 111110.01Translate LHS = 2+4+8+16+32 (or 64-2) = 62Translate RHS = 0.25S+LHS+RHS = -62.25(6 marks)S Expon

The binary value 11000010 01111001 00000000 00000000 is represented in single-precision IEEE-754 floating point form. To convert it to its decimal representation, we need to understand the structure of the IEEE-754 form.

The first bit represents the sign of the number. If it's 1, the number is negative. If it's 0, the number is positive. In this case, the first bit is 1, so the number is negative.

The next 8 bits represent the exponent of the number, which is calculated as the binary value minus the bias (127 for single-precision). In this case, the exponent bits are 10000100, which is 132 in decimal. Subtracting the bias gives us 5.

The remaining 23 bits represent the mantissa of the number, which is the fractional part of the number. The mantissa is calculated by adding 1 to the binary value of these bits. In this case, the mantissa bits are 01111001 00000000 00000000, which is 1.1111001 in binary.

To get the final decimal representation, we shift the binary point in the mantissa 5 spaces to the right (because of the exponent), giving us 111110.01. This is 62.25 in decimal.

So, the decimal representation of the binary value 11000010 01111001 00000000 00000000 is -62.25.