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- a. Obtain the 9's complement of the following eight-digit decimal numbers: A=90009951; and B=00980100 b. Obtain the 10's complement of the following eight-digit decimal numbers: A=90009951; and B-00980100 c. Suppose that we use the 10's complement of X to represent -X. Show that A-B can be performed as A+ (-B); i.e., by taking the 10's complement of B and adding it to A (and ignoring the carry out of the 8-digit decimal values).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.Two 8-bit numbers in a hexadecimal are 05 and 06. Obtain the checksum.
- Convert the decimal number (123.875)10 to its binary, octal and hexadecimal equivalents b. Find the 1's and 2's compliment of (11001010)2 For x = 26 and y 18, find (i) x+y, and (ii) x-y using binary conversionsQ1. Convert following numbers in given radix system:a. (697)10 into Octal and Hexa decimalb. (2D9)16 into Decimal and OctalQ2. Using two’s complement representation, solve:a. 101110001 – 1111111001b. 1010101010 – 1010010101Q3. Perform the following:a. (6767)10 + (3592)10 using BCDb. Discuss floating point numbers by taking an exampleQ4. A code 1011011 needs to be sent to the receiver. Using, hamming code find out the codeword and the mechanism to check the corrected data when error occurred at 4th bit.(Assumptions: Right to Left with Odd Parity)Q5. (a) Convert the following logic gate circuit into a Boolean expression, writing Booleansub-expressions next to each gate output in the diagram:(b) Realise Ex-OR gate using universal gate?Q6. Implement and simplify f (A, B, C, D) = Σ(1,3,5,8,9,11,13,15) using K-map?Obtain the 1’s and 2’s complements of the following binary numbers: (a) 00010000 (d) 10101010 (b) 00000000 (e) 10000101 (c) 11011010 (f) 11111111 Represent the unsigned decimal numbers 791 and 658 in BCD, and then show the steps necessary to form their sum. Express the following numbers in decimal: (a) (10110.0101) 2 (b) (16.5) 16 (c) (26.24) 8 (d) (DADA.B) 16 (e) (1010.1101) 2 Add and multiply the following numbers without converting them to decimal. (a)Binary numbers 1011 and 101. (b)Hexadecimal numbers 2E and 34.
- 6- Obtain the 1's and 2's complements of the following binary numbers: (a) 00010000 (b) 00000000 (c) 11011010 (d) 10101010 (e) 10000101 (f) 11111111.10. Convert the binary expansion of each of these integers to an hexadecimal expansion. a) (1111 0111)2 b) (1010 1010 1010)2 c) (111 0111 0111 0111)2 d) (101 0101 0101 0101)26. Convert the binary expansion of each of these integers to an octal expansion. a) (1111 0111)2 b) (1010 1010 1010)2 c) (111 0111 0111 0111)2 d) (101 0101 0101 0101)2
- How will the bit representation be expanded for unsigned number (unsigned short usx to unsigned ux) and signed number (short sx to int x) for the following code.15. Perform the following binary number Subtraction, using 2's complement : a. 011001, - 101110, b. 0111010, - 1001111, c. 1001110, 10101012Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend. Where the result should be negative, find its 2’s complement and affix a minus sign. (a) 10011−10010 (b) 100010−100110