Perform addition/subtraction on the following pairs of signed binary numbers indicating when overflow occurs. (a) 11111111 +11111000 (b) 01000000 +01000001 (c) 010101 - 101111
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- Carry out the following binary subtraction operators on signed values ( each stored in a single byte) by adding the 2's complement of the subtrahend to the minuend. Indicate if an overflow happens a) 10010100 - 11110000 b) 00010100- 01110000 c) 1010001 - 00000111 d) 00100001 - 10000111 e) 00010100 - 10000111CCTT211 Assignment: 1. Normalize the following binary floating-point numbers. Explicitly show the value of the exponent after normalization.a. 0.1011.1 * 26b. 1101.11 * 2-2 2. Convert the following numbers in 32-bit IEEE format.a. 16.25b. -12.75 3. Convert the following decimal integers to sign-and-magnitude with 8-bit allocationa. 45b. -78 4. One method of representing signed numbers in a computer is one’s complement representation. In this representation, to represent a positive number, we store the binary number. To represent a negative number, we apply the one’s comple- ment operation on the number. Store the following decimal integers to one’s complement with 8-bit allocation.a. 63b. -63 Note: For the problems, follow the instructions and provide the answers in the required format. Show your work and any calculations needed to arrive at the final answer.To express the decimal number 30 as an 8-bit binary number, try the following: complement a) the antonym; complement b) Excess-M;?
- Add the following twos complement binary numbers of 8 bits and also express the answer in decimal. Identify each case in which the answer is incorrect because of overflow. 00001111 + 10011001 11111000 + 111011118) Obtain the 1’s and 2’s complements of the following binary numbers correctly:(a) 10010000(b) 00000000(c) 11011010(d) 10101010(e) 10100101(f) 11111111 9) Convert decimal +49 and +29 to binary, using the signed-2’s-complementrepresentation and enough digits to accommodate the numbers. Thenperform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). Convert the answers back to decimal and verify that they are correct.1. Suppose we use six bits to represent a two’s complement binary number. Perform thefollowing subtractions, indicating when overflow occurs:(a) 010101 (b) 100000 (c) 010101 (d) 100110- 001101 - 110011 - 101111 - 11111131
- What are the 16-bit 1’s and 2’s complements of the following binarynumbers? c. 0100111000100100We can perform logical operations on strings of bits by considering each pair of corresponding bits separately (called bitwise operation). Given two eight-bit strings A = 10110001 and B = 10101100 , evaluate the eight-bit result after the following logical operations: OR1) Using IEEE 754 representation for single precision floating point, give the 32-bit binary encoding for the numbers below.Show the sign, exponent, and mantissa (significand).a. -2.40625b. 11.2265625 2) Given the following binary number: 1101.0111, what will be its decimal numberequivalent?