Question

Assume you have a library of components such as MUXs, Decoders, Full-Adders, Gates, c. Design a by-3-incrementer. The circuit should increments a 4-bit vector B.B.B.B by 3, if a 이 control line e equals 1; if e equals 0, the vector should not be modified. Draw the hardware circuit for the incrementer. You will earn full credit only if your design is minimal in hardware requirements.

Answer 1

To design a 3-bit incrementer circuit, we can use combinational logic gates such as XOR gates and AND gates.

Step-by-step explanation:

To design a 3-bit incrementer circuit, we can use combinational logic gates such as XOR gates and AND gates. Here's an example of a hardware circuit for the incrementer:

B[3] ----A[2]--- XOR2 --- SUM[3]
| / \ |
B[2] -+ +--- XOR2 ---- SUM[2]
| | |
B[1]---- XOR2 ---- SUM[1]
| | |
B[0]---- XOR2 ---- SUM[0]
| |
+--AND2---CARRY--+

In this circuit, B is the 4-bit input vector and SUM is the 4-bit output vector. The XOR gates are used to perform the bit-wise addition, and the carry output from each XOR gate is connected to the subsequent XOR gate through an AND gate.