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6. Draw the NOR logic diagram that implements the function . 7. Simplify the fun

ID: 1931128 • Letter: 6

Question

6. Draw the NOR logic diagram that implements the function .
7. Simplify the function in both SOP and POS form. Which form is more economical?
8. Design a combinational circuit with 3 inputs and one output. The output is equal to 1 when the binary value of the input is less than 3. The output is 0 otherwise.
9. Design a combinational circuit with three inputs x, y, and z, and three outputs A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is one less than the input.
10. Design a combinational circuit with four inputs and four outputs. The output generates the 2

Explanation / Answer

If you are talking combinations, without binary number representations, then you are talking about a circuit that has a 1 output when any input is a 0. That is a 3 input NAND gate. If you are talking binary number representation, then you are talking about a circuit that has a 1 output when the inputs are 010, 001, or 000. Use a 3 to 8 decoder, with an OR gate on the low three outputs.

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