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ECE251 hw4 - binary value of the input is less than 3 The...

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NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT. OF ELECTRICAL & COMPUTER ENGINEERING ACADEMIC YEAR 2010-2011 SEMESTER 1 ECE251 DIGITAL DESIGN HW 4 1. Simplify the function = ) 6 , 4 , 3 , 2 , 0 ( ) , , ( C B A F using a three-variable map. 2. Simplify the function z y x z y x xy z y x F + + = ) , , ( using a three-variable map. 3. Simplify the function = ) 15 , 14 , 12 , 6 , 5 , 4 , 1 ( ) , , , ( D C B A F using a four-variable map. 4. Simplify the function = ) 15 , 14 , 11 , 10 , 8 , 7 , 5 , 3 , 2 , 0 ( ) , , , ( D C B A F using a four-variable map. 5. Draw the NAND logic diagram that implements the complement of the function = ) 12 , 9 , 8 , 4 , 3 , 2 , 1 , 0 ( ) , , , ( D C B A F . 6. Draw the NOR logic diagram that implements the function ) )( ( ) , , , ( D C D C B A AB D C B A F + + = . 7. Simplify the function ABCD CD A D B C A D C B A F + + + = ) , , , ( 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
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Unformatted text preview: 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 2s complement of the input binary number. 1...
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