Question

Derive the boolean expression for the output carry C4 for a 4-bit Carry Looka head Adder....

Derive the boolean expression for the output carry C4 for a 4-bit Carry Looka

head Adder. Explain detail derivation steps.

Add two numbers A=1110 and B=1011 with input carry C0 = 0 using Carry Lookahead Adder. Determine value of C4, C3, C2, C1 (use the expression derived in Q2) and S4, S3, S2, S1. Determine the overflow bit which is EXOR of carry going into MSB bit and carry coming from MSB bit i.e C4⊕C3.

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Answer #1

In a carry look ahead type adder, carry for the next stage is estimated and then propagated. This type adder is not suitable for higher number of bit additions since carry estimation time is exceeding the carry propagation time. The design process is explained in the image.

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