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## A Sample Question Solved by One of Our Engineering Assignment Help Expert Writers

### Question

**Design a 3-bit ripple carry adder using NOR gates.**

### Solution

To design a 3-bit ripple carry adder, we first need to understand the carry-over process. In a ripple carry adder, each bit of the sum is computed serially, one bit at a time. The carry-over process allows each bit of the sum to take into account the carry-over bit from the previous bit position. For the first bit position, the sum is simply the input bit value. For the second bit position, the sum is the input value plus the carry-over bit from the first-bit position. And for the third-bit position, the sum is the input value plus the carry-over bit from the second-bit position.

The carry-over bit for the first bit position is simply the input bit value. For the second bit position, the carry-over bit is the sum of the input bit value and the carry-over bit from the first bit position. And for the third bit position, the carry-over bit is the sum of the input bit value and the carry-over bit from the second-bit position.

Now that we understand the carry-over process, we can start to design the ripple carry adder using NOR gates. For the first bit position, we need a NOR gate with two input terminals and one output terminal. For the second bit position, we need a NOR gate with three input terminals and one output terminal. And for the third-bit position, we need a NOR gate with four input terminals and one output terminal.

The inputs to the NOR gate for the first bit position are the input bit value and the carry-over bit from the previous bit position. The output of the NOR gate is the sum of these two values. The inputs to the NOR gate for the second bit position are the input bit value, the carry-over bit from the first bit position, and the carry-over bit from the second bit position. The output of the NOR gate is the sum of these three values. And the inputs to the NOR gate for the third bit position are the input bit value, the carry-over bit from the first bit position, the carry-over bit from the second bit position, and the carry-over bit from the third bit position. The output of the NOR gate is the sum of these four values.

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