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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.8. Convert the following binary numbers to hexadecimal:(a) 1110011010(b) 1000100111(c) 101111.10115. Perform the following binary number Subtraction, using 2's complement : a. 011001, - 101110, b. 0111010, - 1001111, c. 1001110, 10101012
- Show the IEEE 754 binary representation for the following floating- point numbers. a)-6.12510 ➜ To IEEE 754 single precision S E Significand b) +6.12510 To IEEE 754 double precision S E Significanda) Convert -0.0000125 to IEEE 32-bit floating point format. b) Convert the following IEEE 32 bit into decimal. Please show the calculations for both the questions. Sign bit exponent significant 1 00001110 00010010001000000000000Write down the binary representation of the decimal number 25.25 assuming the IEEE 754 single precision format and double precision format.
- Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 double precision format.Represent the following numbers to its 6-bit binary representation and perform binary subtractionusing 2’s compliment representation 50-30?Find an IEEE 754 floating-point representation of -74.2 decimal number. Enter 32 bits without a space.
- Express the base 10 numbers 63.15625 in IEEE 754 single-precision floating-point format. Express your answer in hexadecimal.(Hint: IEEE 754 single-precision floating-point format consists of one sign bit, 8 biased exponent bits, and 23 fraction bits)(Note: You should show all steps) 63.1562510 =2. Perform addition/subtraction on the following pairs of signed binary numbers indicating when overflow occurs. (a) 11111111 +11111000 (b) 01000000 +01000001 (c) 010101 - 101111 3. (a)Convert the following binary number to hexadecimal: (i) 10 1100 1010 1010 1001 (ii) 1001 0000 0001Given this IEEE-754 32 bit floating point value: 110010100 00000000000000000000011 convert it into its decimal representation (use a calculator for the division step) (Hint: 223 = 8,388,608)