Question

5. In a distant planet in a different galaxy, humans have evolved to have only 6 fingers in all (3 in each hand- weird!). Turns out their dominant number system they would use for everyday math is base -6. As part of designing a calculator to speed up their calculations, you are required to construct a binary logic circuit to implement a binary coded hexa (base-6) full adder. Being well - trained in your ELE 250 class, you choose to implement this through a modular approach using readily available binary adder circuits. As part of this design, please answer the following questions: (20 points) a. Describe the logic behind transforming binary full adder circuits that takes in the binary coded hexa' numbers into a binary coded Hexa' full adder. In particular, describe the truth table that relates the binary sum (the sum that you directly get from the binary adders) to binary coded Hexa sum. (10 pts) b. Show the implementation of this circuit (use the modular approach). (10 pts)

Answer 1

llexa_ Number Deamal Binary coded h oo l o 10 O I 0 6 101 2p 001 OIO 001- 011 00 10 0 001 1o I 010 O00 10 1 2 12 OID 010 010 0 11 010 1o0 16 010 1O 18 0O 0o0

DATE Truth Table eum al ㅡㅡ | Binary, Coded Heia 0 0

PAGE: DATE: 35 1-0 000O

8 bit Adder Co Sn