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1. A combinational circuit adds either a 1 or 2 to a 4-bit binary number A. Assume that the inputs bb A3, A2, A1, A0 represent the 4-bit binary number. Another input is a control signal C. The circuit has outputs assumed to be X3, X2, X1 and Xo, which represent the 4-bit number X. When C=0, X=A+1 and when C=1, X=A+2. Assume that the inputs for which X > (1111)2 will never occur. Show the design steps in detail including truth tables, K-Maps, logic equation minimisation. Finally, design this circuit using only NAND gates and inverters .

1. A combinational circuit adds either a 1 or 2 to a 4-bit binary number A. Assume that the inputs bb A3, A2, A1, A0 represent the 4-bit binary number. Another input is a control signal C. The circuit has outputs assumed to be X3, X2, X1 and Xo, which represent the 4-bit number X. When C=0, X=A+1 and when C=1, X=A+2. Assume that the inputs for which X > (1111)2 will never occur. Show the design steps in detail including truth tables, K-Maps, logic equation minimisation. Finally, design this circuit using only NAND gates and inverters .

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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1. A combinational circuit adds either a 1 or 2 to a 4-bit binary number A.
Assume that the inputs bb A3, A2, A1, A0 represent the 4-bit binary number.
Another input is a control signal C.
The circuit has outputs assumed to be X3, X2, X1 and Xo, which represent the 4-bit number X.
When C=0, X=A+1 and when C=1, X=A+2.
Assume that the inputs for which X > (1111)2 will never occur.
Show the design steps in detail including truth tables, K-Maps, logic equation minimisation.
Finally, design this circuit using only NAND gates
and inverters .
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