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Electronics/Digital_Circuits/Half_adder.md
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---
categories:
- Electronics
tags: [logic-gates, binary]
---
# Half adder

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Electronics/Digital_Circuits/Half_adder_and_full_adder.md Normal file
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---
categories:
- Electronics
tags: [logic-gates, binary]
---
# The half adder and full adder
## Binary arithmetic
The half adder and full adder are components of digital circuits that enable us to carry out binary addition. Using adders and half adders we can add two binary numbers together. Adders are abstractions over [logic gates](/Hardware/Logic_Gates/Logic_gates.md)

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Hardware/Logic_Gates/Logic_gates.md
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> [A logic gate consists in] three connections where there may or may not be some electricity. Two of those connections are places where electricity may be put into the device, and the third connection is a place where electricity may come out of the device. (Scott, 2009 p.21)
Logic gates are the basic building blocks of digital computing. **A logic gate is an electrical circuit that has one or more than one input and only one output.** The input controls the output and the logic determining which types of input (on/off) lead to specific outputs (on/off) is identical to the truth-conditions of the [Boolean connectives](/Logic/Truth-functional_connectives.md) specifiable in terms of [truth-tables](/Logic/Truth-tables.md).
Physically, what 'travels through' the gates is electrical current and what constitutes the 'gate' is a transistor responding to the current. At the next level of abstraction it is bits that go into the gate and bits which come out: binary information that may be either 1 or 0.
Physically, what 'travels through' the gates is electrical current and what constitutes the 'gate' is a [transistor](/Electronics/Digital_Circuits/Transistors.md) responding to the current. At the next level of abstraction it is bits that go into the gate and bits which come out: binary information that may be either 1 or 0.
## References