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- Write hamming code for the data 1100 for the (i) Even parity (ii) Odd parity. Explain the process brieflyQ2: Use a Karnaugh map to simplify the following standard SOP expression: XYZ + XYZ + XYZ + XYZ + XYZ + XYZ 101 010 100Design a 16-bit full adder using Verilog entry and test the adder using the following hexadecimal values as input by using Modelsim: [15:0] A АВВА FFFF 109E АBCD 0000 [15:0] B ВАВА FFFF 6D99 CDAB 0180 Cin 1 1 [15:0] Sum Cout
- Is it possible to use a biased exponent?For 8421 to Ex-3 code conversion, X =The 1's complement can be easily obtained by using: * Comparator Subtractor Inverter Adder Add the two BCD numbers: 1001 + 0100 = ? 01010000 00010011 10101111 00101011 The (r-1)'s complement is also called as Diminished radix complement Radix complement None of the above
- Trace the steps of multiplying a 5-bit two's complement multiplicand (00101)2 with a 3-bit two's complement multiplier (101)2. using Booth's algorithm. Assume that the shift-add multiplier shown below is used. Initially, the 5 most significant bits of the 8-bit product register contain (00000), and the 3 least significant bits contain the multiplier (101),. When the algorithm completes, the most significant 8-bit of product register must contain the 8-bit product in two's complement representation. Write state of the 9-bit product register (including the least significant bit) after each step shown in the figure above. Initial state: 00000101 o After the 1st add/sub/nop: After the 1st shift: After 2nd add/sub/nop: After the 2nd shift: After 3rd add/sub/nop: After the 3rd shift:Multiply the operands x=- 101*2^(-7) and y=-21*2^(-6) using the booth method. Represent their values in binary, use the booth method to multiply them, represent the result in decimal.Q6: - binary number (e.g., 101 → 100. Also, 000 → 111): a) Show the truth table. b) Show the Boolean expressions for the outputs in SoP. c) Design an efficient circuit using NAND gates only. Design a 3-bit DECrementor, that is, the cicuit generates the previous number of the input