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The register has eight flip-flops, each capable of storing 8 bits. The values for each flip-flop are 1, 2, 4, 8, 16, 32, 64, with the last one reserved for the sign bit (0 positive, 1 negative). In an example with all 0s and the last 3 as 1s, the total value is 7, indicating a positive number. Thus, the binary pattern +7 is represented when dealing with signed binary patterns.