The Gray code is sometimes called a reflected code because the bit values are reflected on both sides of any 2" value. For example, as shown in Table 3-5, the values of the three low-order bits are reflected over a line drawn between 7 and 8. Using this property of the Gray code, obtain: 

a. The Gray code numbers for 16 through 31 as a continuation of Table 3-5. 

b. The excess-3 Gray code for decimals 10 to 19 as a continuation of the list in Table 3-6.

Table 3-5

Table 3-6

TABLE 3-5 4-Bit Gray Code Binary code Binary Decimal code equivalent 0000 0001 0011 0010 0110 0111 0101 0100 0 1 2 3 4 5 6 7' 1100 1101 1111 1110 1010 1011 1001 1000 Decimal equivalent 8 9 10 11 12 13 14 15