Your Question:

2. Design a 1-bit decremented (a circuit which subtracts 1). Give (a) the arithmetic relationship between input and out put signals

(b) the truth table,

(c) logic diagram.

Design a logic diagram of a 1-bit increment/decrement circuit controled by an id signal (increment when id= 1, decrement otherwise). Write the HDL.

And Design a block diagram of a 4-bit increment/decrement circuit. Use the above HDL and concatenate.

Step By Step Answers with Explanation

Designing a 1-bit decrementer (a circuit that subtracts 1) involves defining the arithmetic relationship, creating a truth table, and generating a logic diagram. We will also design a 1-bit increment/decrement circuit controlled by an "id" signal, write the HDL for it, and finally, create a block diagram for a 4-bit increment/decrement circuit by concatenating the 1-bit circuits.

1-Bit Decrementer:

| Input (X) | Output (Y) |

|-----------|------------|

```

X (Input)

v

Y (Output)

```vhdl

library IEEE;

Port (

X : in STD_LOGIC; -- 1-bit input

architecture Behavioral of Increment_Decrement_1bit is

begin

else -- Decrement

Y <= X - 1;

This VHDL code describes a 1-bit increment/decrement circuit controlled by the "id" signal.

4-Bit Increment/Decrement Circuit:

[4-bit Input] --> [1-bit Increment/Decrement] --> [4-bit Output]

[4-bit Input] --> [1-bit Increment/Decrement] --> [4-bit Output]