Please solve and show all work. Thank you.Write down the binary representation of the decimal number 63.75, assuming the IEEE 754 single precision format. **Problem Statement:**Write down the binary representation of the decimal number 63.75, assuming the IEEE 754 single precision format.**Explanation:**In this task, you are required to convert the decimal number 63.75 into its equivalent binary form using the IEEE 754 single precision floating-point format. This format represents numbers using 32 bits divided into three parts: the sign bit, the exponent, and the fraction (mantissa).- **Sign Bit:** Indicates the sign of the number (0 for positive, 1 for negative).- **Exponent:** An 8-bit field that represents the exponent, biased by 127.- **Fraction (Mantissa):** A 23-bit field that represents the significant digits of the number.To convert, follow these steps:1. Convert the integer and fractional parts of the number separately into binary.2. Normalize the binary number so that it is in the form of \(1.x \times 2^n\).3. Calculate the biased exponent.4. Encode the result using the IEEE 754 format.Understanding and applying these steps will help in representing the decimal number accurately in binary form within the IEEE 754 standard.

A popular standard for representing floating-point integers in computer systems is IEEE 754. It describes how floating-point numbers should be formatted in binary and decimal, as well as how arithmetic operations and rounding should be done. Since its initial publication in 1985, the IEEE 754 standard has grown to be essential to floating-point arithmetic in contemporary computer architectures.The IEEE 754 single precision (32-bit) floating-point format consists of three components: the sign bit, the exponent, and the fraction (also known as the significand or mantissa). Here's the breakdown for the decimal number 63.75 in IEEE 754 single precision:Sign Bit (S):The sign bit is 0 for positive numbers and 1 for negative numbers. Since 63.75 is positive, the sign bit is 0.Exponent (E):The exponent is an 8-bit field that represents the exponent in a biased form. The bias for single precision is 127.The exponent for 63.75 is 6 (because 63.75=6.375×101).The biased exponent is 6+127=133. In binary, 133 is 10000101.Fraction (F):The fraction represents the mantissa and is composed of the fractional part of the binary representation of the number.For 63.75, the fractional part is 0.375. In binary, 0.375 is 0.011.Now, let's put it all together:Sign Bit (S): 0Exponent (E): 10000101 (biased exponent 133)Fraction (F): 01100000000000000000000 (binary representation of 0.375)The binary representation of 63.75 in IEEE 754 single precision format is:0 10000101 01100000000000000000000The binary representation of 63.75 in IEEE 754 single precision format is:0 10000101 01100000000000000000000