Question

Design a logic shifter circuit that shifts a 4-bit binary number 1 bit to the right, 1 bit to the left or no shift using four 4×1 multiplexors. A logic 0 should be supplied for the vacated (emptied) positions. For instance, a 4bit binary number 1010 when shifted one bit to the right will become 0101, when shifted one bit the left will become 0100 . The select bits for the multiplexers encode the operation to be performed: 00 for no shift, 01 for shift right, 10 for shift left, and 11 for outputs to be set to corresponding inputs. Draw the shifter circuit with all inputs and outputs labeled including those for the 1-bit shifter and each of the four 4×1 multiplexors.

Answer 1

To design a logic shifter circuit that shifts a 4-bit binary number using 4x1 multiplexers, we can use one multiplexer for each bit of the binary number. The select bits of the multiplexers will encode the operation to be performed: 00 for no shift, 01 for shift right, 10 for shift left, and 11 for retaining the original input.

Step-by-step explanation:

To design a logic shifter circuit that shifts a 4-bit binary number using 4x1 multiplexers, we can use one multiplexer for each bit of the binary number. Each multiplexer will have 4 inputs: the original bit, the shifted bit to the right, the shifted bit to the left, and a logic 0 for the vacated position. The select bits of the multiplexers will encode the operation to be performed: 00 for no shift, 01 for shift right, 10 for shift left, and 11 for retaining the original input.

Here is the circuit diagram for the 4-bit logic shifter: