This document contains 8 questions about converting between binary and base 10 number systems. It asks the learner to: 1) Convert several binary and base 10 numbers to their equivalent values. 2) Identify patterns when converting sets of base 10 numbers to binary to determine the next number in the sequence. 3) Determine the largest and smallest possible 3-digit binary numbers and convert them to base 10. 4) Identify the possible base 10 numbers that could produce a 4-digit binary number when converted. 5) List all possible 4-digit binary numbers with 2 zeros and 2 ones and convert them to base 10. 6) Calculate the largest and smallest possible base 10 numbers for an 8-digit

1. Question1
Convertthe followingbinarynumberstobase 10:
a) 0000 0110
b) 0000 1111
c) 0000 1001
d) 0000 1101
e) 0001 0001
f) 0001 1011
g) 0111 1111
h) 0111 0001
i) 1010 1010
j) 1100 1101
k) 1110 00111
l) 1100 1100
Question2
Convertthe followingbase 10 numberstobinary numbers:
a) 9
b) 8
c) 14
d) 17
e) 18
f) 30
g) 47
h) 52
i) 67
j) 84
k) 200
l) 500
Question3
Convertthe followingbase 10 numberstobinarynumbers:
a) 5
b) 9
c) 17
d) 33
What will be the nextbase 10 numberthat will fitthispattern?

2. Question4
Convertthe followingbase 10 numberstobinary numbers:
a) 3
b) 7
c) 15
d) 31
What will be the nextbase 10 numberthat will fitthispattern?
Question5
A particularbinarynumberhas3 digits.
a) What are the largestandsmallestpossible binarynumber?
b) Convertthese numberstobase 10.
Question 6
When a particular base 10 number is converted it gives a 4-digit binary number. What could
the original base 10 number be?
Write the numbers as a list. e.g. 21, 22, 23, etc
Question 7
A 4-digit binary number has 2 zeros and 2 ones.
List the numbers separated by commas. e.g. 21, 22, 28, 30
a) List all the possible binary numbers with these digits.
b) Convert these numbers to base 10.
Question 8
A binary number has 8 digits and is to be converted to base 10.
a) What is the largest possible base 10 answer?
b) What is the smallest possible base 10 answer?