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Tutorial 1: Number Systems
QUESTION 1
What is the decimal equivalent of the largest binary integer that can be obtained
with:
a) 8 bits
b) 32 bits
QUESTION 2
Which of the following numbers have the same decimal value? Show your
working.1
a) (12001)3
b) (3312)4
c) (2022)5
d) (2A7)11
e) (19A)12
QUESTION 3
Convert the following binary numbers to decimal. Show all your working.
a) 1101001
b) 10001011.011
c) 10011010
(note the sneaky fraction…)
1
Assume that numbers with the bases 11 and 12 follow the same symbol naming strategy as Hexadecimal
numbers.
1
QUESTION 4
Fill in the gaps in the table below. Show your working.
Decimal
369.3125
Binary
Hexadecimal
10111101.101
F3C7
QUESTION 5
Create a complete truth table for the following logic circuit:
2