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Step of 5 1.009E The 4-bit digital word is, The analog signal, VA varies from 0V to The digital word represents the different voltage levels are, Table 1: 00000 00011 00102 00113 01004 01015 01106 01117 10008 10019 110012 11013 111014 11115 Step of 5 (a) From table 1, The digital word, D represent the voltage, VA = 0V is 0000 The digital word, D represent the voltage, VA = V is 0001 The digital word, D represent the voltage, VA = 2V is 0010 The digital word, D represent the voltage, VA = 15 V is 1111 Step of 5 (b) Initially the digital word D represents, Change the bit b₀ from 0 to 1. That is, The decimal equivalent of 0001 is, VA +1 V Therefore, the change in VA by changing the bit b₀ from 0 to 1 is V Change the bit, from 0 to That is, The decimal equivalent of 0010 is, Therefore, the change in VA by changing the bit b₁ from 0 to 1 is +2 V Step of 5 Change the bit, b₂ from 0 That is, The decimal equivalent of 0100 is, Therefore, the change in VA by changing the bit b₂ from 0 to 1 is +4 V Change the bit, b₃ from 0 That is, The decimal equivalent of 1000 is, VA +8 V Therefore, the change in VA by changing the bit b₃ from 0 to 1 is Step of 5 (c) The voltage is, VA = V The value VA =5.2V is nearer to Thus, the binary equivalent, D is 0101 Calculate the percentage error. error = 5-5.2 5 =-4% Therefore, the resulting error is -4%