# What is the equation of full subtractor?

## What is the equation of full subtractor?

A full subtractor is a combinational circuit that performs subtraction involving three bits, namely A (minuend), B (subtrahend), and Bin (borrow-in) . It accepts three inputs: A (minuend), B (subtrahend) and a Bin (borrow bit) and it produces two outputs: D (difference) and Bout (borrow out).

**What is the Boolean expression of full subtractor?**

The full subtractor logic circuit can be constructed using the ‘AND’, ‘XOR’, and NOT gate with an OR gate. The actual logic circuit of the full subtractor is shown in the above diagram. The full subtractor circuit construction can also be represented in a Boolean expression.

**How many NAND gates are required for full subtractor?**

4 Answers

Minimum Number of Gates: Nand/Nor | ||
---|---|---|

Exor | Full Subtractor | |

NAND | 4 | 9 |

NOR | 5 | 9 |

### What is the truth table of Half subtractor?

The truth table is a key tool to understand the working of any digital circuit. The truth table is nothing but the possible combination of inputs and their resultant output. In case of half subtractor there are two inputs. Thus the number of possible combinations will be 4.

**What is expression for difference and borrow for full subtractor?**

From above table we can draw the K-Map as shown for “difference” and “borrow”. Logical expression for difference – D = A’B’Bin + A’BBin’ + AB’Bin’ + ABBin = Bin(A’B’ + AB) + Bin'(AB’ + A’B) = Bin( A XNOR B) + Bin'(A XOR B) = Bin (A XOR B)’ + Bin'(A XOR B) = Bin XOR (A XOR B) = (A XOR B) XOR Bin.

**How many inputs and outputs does a full subtractor have?**

A full subtractor is a combinational circuit that performs subtraction of two bits, one is minuend and other is subtrahend, taking into account borrow of the previous adjacent lower minuend bit. This circuit has three inputs and two outputs.

## Which decoder is needed for full subtractor?

Since there are three inputs and a total of eight minterms. So we need 3-to-8 line decoder. The decoder generates the eight minterms for A, B & Bin.

**Which decoder is used in full subtractor?**

Since there are three inputs and a total of eight minterms. So we need 3-to-8 line decoder.

**What is full subtractor application?**

What is a Full Subtractor : Construction using Logic Gates. Generally, the full subtractor is one of the most used and essential combinational logic circuits. It is a basic electronic device, used to perform subtraction of two binary numbers.

### What is expression for difference and borrow?

**What is XOR gate formula?**

= (A’ + B’) (A + B)

**What is XOR truth table?**

XOR Gate Truth Table. Truth tables list the output of a particular digital logic circuit for all the possible combinations of its inputs. The truth table of an XOR gate is given below: The above truth table’s binary operation is known as exclusive OR operation. It is represented as A ⊕ B.

## What is a 3 to 8 decoder?

3 to 8 line decoder: The 3 to 8 line decoder is also known as Binary to Octal Decoder. In a 3 to 8 line decoder, there is a total of eight outputs, i.e., Y0, Y1, Y2, Y3, Y4, Y5, Y6, and Y7 and three outputs, i.e., A0, A1, and A2. This circuit has an enable input ‘E’.

**What is full subtractor write its truth table and design the logic circuit?**