Difference between revisions of "Half Adder / Full Adder"
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | =Overview= | ||
| + | |||
| + | <youtube>https://www.youtube.com/watch?v=kT1uRfQL2FY&list=PLCiOXwirraUA9HyHoqOaGBU_k6nBRCb22&index=4</youtube> | ||
| + | |||
| + | https://www.youtube.com/watch?v=kT1uRfQL2FY&list=PLCiOXwirraUA9HyHoqOaGBU_k6nBRCb22&index=4 | ||
| + | |||
==Half Adder== | ==Half Adder== | ||
| + | The half adder circuit will do half of a binary addition of 2 1 bit binary numbers. A & B are the 2 1 bit binary values, remember the rules of binary addition: | ||
| + | |||
| + | * 0 1's sum is 0 | ||
| + | * 1 1's sum is 1 | ||
| + | * 2 1's sum is 0 carry is 1 | ||
| + | * 3 1's sum is 1 carry is 1 | ||
| + | |||
The most common half adder is made up of two logic gates, an AND gate and a XOR gate. It has two inputs and two outputs. The two inputs are the two bits you are adding together and the two outputs are the result and a carry-on for when the output value is not large enough to display the answer. | The most common half adder is made up of two logic gates, an AND gate and a XOR gate. It has two inputs and two outputs. The two inputs are the two bits you are adding together and the two outputs are the result and a carry-on for when the output value is not large enough to display the answer. | ||
| + | |||
[[File:Halfadder1.gif|none]] | [[File:Halfadder1.gif|none]] | ||
| + | |||
| + | ==Full Adder== | ||
| + | The full adder is 2 half adders connected together, this will allow you to add 2 1 bit binary numbers together. | ||
| + | |||
| + | |||
| + | [[File:Full Adder Blocks.png]] | ||
| + | |||
| + | ==4 Bit Adder== | ||
| + | The 4 bit adder is 4 full adders connected together to allow you to add 2 4 bit binary numbers together. A1, A2, A3, A4 represent 1 binary number, and B1, B2, B3, B4 represent the other binary number. | ||
| + | |||
| + | [[File:4-bit-adder.jpg]] | ||
Latest revision as of 13:35, 10 June 2018
Overview
https://www.youtube.com/watch?v=kT1uRfQL2FY&list=PLCiOXwirraUA9HyHoqOaGBU_k6nBRCb22&index=4
Half Adder
The half adder circuit will do half of a binary addition of 2 1 bit binary numbers. A & B are the 2 1 bit binary values, remember the rules of binary addition:
- 0 1's sum is 0
- 1 1's sum is 1
- 2 1's sum is 0 carry is 1
- 3 1's sum is 1 carry is 1
The most common half adder is made up of two logic gates, an AND gate and a XOR gate. It has two inputs and two outputs. The two inputs are the two bits you are adding together and the two outputs are the result and a carry-on for when the output value is not large enough to display the answer.
Full Adder
The full adder is 2 half adders connected together, this will allow you to add 2 1 bit binary numbers together.
4 Bit Adder
The 4 bit adder is 4 full adders connected together to allow you to add 2 4 bit binary numbers together. A1, A2, A3, A4 represent 1 binary number, and B1, B2, B3, B4 represent the other binary number.
