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Number Systems and Circuits for Addition – Binary Adders. Lecture 6 Section 1.5 Fri, Jan 26, 2007. Binary Addition. Addition of binary digits produces a sum bit and a carry bit . Binary Addition. The sum bit is p q . The carry bit is p q . Binary Adders.
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Number Systems and Circuits for Addition – Binary Adders Lecture 6 Section 1.5 Fri, Jan 26, 2007
Binary Addition • Addition of binary digits produces a sum bit and a carry bit.
Binary Addition • The sum bit is p q. • The carry bit is p q.
Binary Adders • A binary half-adder adds two bits and produces a sum bit and a carry bit. • A binary full-adder adds two bits and a carry-in bit and produces a sum bit and a carry-out bit.
Binary Half-Adder Circuit • Design circuits for p q and p q. • Consolidate them into one circuit, if possible.
Binary Full-Adder Circuit • Use two half-adders to add the bits two at a time. • Add p and q, producing s1 and c1. • Add c-in and s1, producing s and c2. • Add c1 and c2, producing c-out. • c1 c2 produces c-out. • Design the circuit.
Adding 4-Bit Numbers • Design a circuit using four full adders to add two 4-bit binary numbers.
