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4. Challenge: Adding and Subtracting Base-2 Numbers

Sequencing

Adding/subtracting base-2 (binary) numbers is a variation of adding/subtracting base-10 numbers. The learner has already completed modules on adding/subtracting base-10 numbers can use that knowledge as a basis for adding/subtracting binary numbers.

What are binary numbers?​

Suppose a number can only be made using the digits 0 and 1. This is known as a binary number.

The first five binary numbers are:

0
1
10
11
100

Problems for adding binary numbers​

Problem 1​

  00
+ 11
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Sequencing

Add two binary numbers (with no carries and no missing digits). This is a variationof adding base-10 numbers.

Problem 2​

  11
+ 01 
====
Sequencing

Add two binary numbers (with consecutive carries and missing digits) This is a variation of adding base-10 numbers.

Problem 3​

1000
  11
+ 11
====
Sequencing

Add three binary numbers (with consecutive carries and missing digits). This is a variation of adding base-10 numbers.

Problems for subtracting binary numbers​

Problem 4​

 111
- 10
====
Sequencing

Subtract two binary numbers with a missing digit (and no borrows) This is a variation of subtracting base-10 numbers.

Problem 5​

 100
-  1
====
Sequencing

Subtract two binary numbers with a missing digit (and 2 borrows). This is a variation of subtracting base-10 numbers.

Problem 6​

  1101
-   10
    10
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Sequencing

Subtract three binary numbers with a borrow and missing digits. This is a variation of subtracting base-10 numbers.