Convert decimal number to floating point number: 46.25. Assume that Totallength=24 bits, Bias= 127, Fraction is in the form of 0. Fraction.

Step 1: Convert the integer part to binary The integer part of the decimal number 46 can be converted to binary as follows: 46 = 32 + 14 = 2^5 + 2^4 + 2^1 + 2^0 = 101110 in binary.

Step 2: Convert the fractional part to binary The fractional part of the decimal number .25 can be converted to binary as follows: .25 x 2 = 0.5 (0) 0.5 x 2 = 1.0 (1) So, .25 = .01 in binary.

Step 3: Combine the integer and fractional parts So, the binary equivalent of 46.25 is 101110.01.

Step 4: Normalize the binary number Normalized form of 101110.01 is 1.0111001 x 2^5.

Step 5: Determine the sign, exponent, and mantissa The sign is 0 (since the number is positive). The exponent is 5 + 127 (bias) = 132 = 10000100 in binary. The mantissa is the part after the decimal point in the normalized form, i.e., 0111001.

Step 6: Assemble the floating point number The floating point representation is therefore: Sign (1 bit) Exponent (8 bits) Mantissa (15 bits) 0 10000100 011100100000000

So, the 24-bit floating point representation of the decimal number 46.25 is 010000100011100100000000.