You have stumbled on an unknown civilization while sailing around the world. The people, who call themselves Zebronians, do math using 40 separate characters (probably because there are 40 stripes on a zebra). They would very much like to use computers, but would need a computer to do Zebronian math, which would mean a computer that could represent all 40 characters. You are a computer designer and decide to help them. You decide the best thing is to use BCZ, which stands for Binary-Coded Zebronian. (BCZ will be similar to Binary Coded Decimal (BCD) where each decimal digit is represented by a 4-bit binary sequence (0 = 0000, 1=0001, ..., 7= 0111, 8 = 1000, and 9=1001), except it codes Zebronian, not Decimal.) How many bits will you need to represent each character if you want to use the minimum number of bits?  How will you use extra bit sequences that are not needed to  represent a character.  What arithmetic and/or logic operations will be supported and how will this be accomplished.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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You have stumbled on an unknown civilization while sailing around the world. The people, who call themselves Zebronians, do math using 40 separate characters (probably because there are 40 stripes on a zebra). They would very much like to use computers, but would need a computer to do Zebronian math, which would mean a computer that could represent all 40 characters. You are a computer designer and decide to help them. You decide the best thing is to use BCZ, which stands for Binary-Coded Zebronian.

(BCZ will be similar to Binary Coded Decimal (BCD) where each decimal digit is represented by a 4-bit binary sequence (0 = 0000, 1=0001, ..., 7= 0111, 8 = 1000, and 9=1001), except it codes Zebronian, not Decimal.)

How many bits will you need to represent each character if you want to use the minimum number of bits?  How will you use extra bit sequences that are not needed to  represent a character.  What arithmetic and/or logic operations will be supported and how will this be accomplished.  

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