Adders , Subtractors and Multiplier
Adders
What is the Half Adder?
- The half adder is some kind of electronic circuit that performs the addition of numbers and also it is a type of adder. The half adder can only add two single bit digits and gives the sum and carry value.
Truth Table for the Half Adder
Expressions for the Truth Table
Construct the Logic Circuit for the Half Adder
What is the Full Adder?
- Full Adder is some kind of an electronic circuit that adds three inputs and provides two outputs. The first two inputs are A and B and the third input is an input carry as C-IN. The output carry is named C-OUT and the normal output is named SUM.
External View of the Full Adder
Truth Table for the Full Adder
Derived Simplified Boolean Expression from the Karnaugh Map
- The first karnaugh map showed a zig-zag view and that means it derived output as XOR gate.
- The second karnaugh map showed 3 paired groups with two elements. It derived output as POS expression.
Construct the Logic Circuit for the Full Adder
Explanation of the Full Adder
Example of Full Adder
Explanation of 4 - bit Full Adder with values
Subtractor
What is the Half Subtractor?
- The half subtractor is some kind of electronic circuit that performs the subtraction of numbers and also it is a type of adder. The half subtractor can only subtract two single bit digits and gives the difference and carry value.
Truth Table for the Half Subtractor
Expressions for the Truth Table
Construct the Logic Circuit for the Half Subtractor
What is the Full Subtractor?
- A full Subtractor is some kind of an electronic circuit that subtracts three inputs and provides two outputs. The first two inputs are A and B and the third input is an input carry as C. The output carry is named B-OUT and the normal output is named D.
External View of the Full Subtractor
Truth Table for the Full Subtractor
Derived Simplified Boolean Expression from the Karnaugh Map
- The first karnaugh map showed a zig-zag view and that means it derived output as XOR gate.
- The second karnaugh map showed 3 paired groups with two elements. It derived output as POS expression.
Construct the Logic Circuit for the Full Subtractor
Explanation of the Full Subtractor
Explanation of 4 - bit Full Subtractor with values
Multiplier
What is the Multiplier?
- A Multiplier is an electronic circuit that performs the multiplication of two binary numbers. In the process of multiplication, the number which is to be multiplied by the other number consider a multiplicand and the other one multiplied consider a multiplier.
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