The figure shows an analogue-to-digital convertor which is monitoring the DC voltage (VB) of a 15V battery on an orbiting satellite. The convertors output is a four-bit binary number, ABCD, corresponding to the battery voltage in steps of 1V, with A as the MSB. The convertors binary outputs are fed to a logic circuit that is to produce a HIGH output as long as the binary value is greater than 610. That is, the battery voltage is greater than 6V. Design this logic circuit by using a Truth Table to produce a full Sum of Products expression in canonical form and by using the laws of Boolean Algebra to minimise the design. A Truth Table analysis of the expression A + B may be helpful with the last step.

The figure shows an analogue-to-digital convertor which is monitoring the DC voltage (Ve) of a 15V battery on an orbiting satellite. The convertor's output is a four-bit binary number, ABCD, corresponding to the battery voltage in steps of 1v, with A as the MSB. The convertor's binary outputs are fed to a logic circuit that is to produce a HIGH output as long as the binary value is greater than 610. That is, the battery voltage is greater than 6V. Design this logic circuit by using a Truth Table to produce a full Sum of Products expression in canonical form and by using the laws of Boolean Algebra to minimise the design. A Truth Table analysis of the expression A + AB may be helpful with the last step. MSB Analog- A to- digital converter D B C Logic circuit LSB