# Binary & Hex Warm Up, Lesson & Worksheet - Garfield Cs

Binary & Hex Warm Up, Lesson & Worksheet:
Name: ________________________ Per: _____
0. Decimal:
A) In our standard decimal numbering scheme, how many symbols do we use to represent numbers?
What are they? Write them out here:
_______________________________________________________________________________
B) What number comes after 9? _______
After 99? _______
After 999? _______
After 9999? _______
C) For decimal numbers (let’s just look at positive whole values), what value does the:
____
0) First (least significant) decimal place represent?
____
1) Second (next) decimal place represent?
____
2) Third (and the next) decimal place represent?
____
3) Fourth (and so on) decimal place represent?
D) What is the relationship/formula of this number sequence? (Notice I started numbering at 0)
_______________________________________________________________________________
E) How many different numbers can you represent with 4 decimal places, 0 to 9999? __________
1. Binary:
Extending this to Base 2
A) If we only had two symbols to represent all numbers, let’s pick the numbers: 0 & 1
B) What binary number comes after 1? _______
After 11? _______
After 111? _______
After 1111? _______
C) So what decimal value do you think each of the binary digits, called “bits” (b), represent?
____
0) First (least significant) bit represent?
____
1) Second (next) bit place represent?
____
2) Third (and the next) bit place represent?
____
3) Fourth (and so on) bit place represent?
D) What is the relationship/formula of this number sequence? (Notice I started numbering at 0)
_______________________________________________________________________________
E) How many different numbers can you represent with 4 binary bits, 0 to 1111? ____________
+ Bonus: What other number systems do you know of, perhaps from different civilizations?
(Stop Here, and don’t turn the page over yet…)
Garfield Computer Science, March 2014 Mr. Bergquist
Lesson for a Day without computers