Problem

Adding and Multiplying in BinaryWhen does 1 + 1 = 10? When you are adding binary numbers....

Adding and Multiplying in Binary

When does 1 + 1 = 10? When you are adding binary numbers. Addition of binary numbers is much the same as with decimal numbers. For example, decimal numbers 23 and 15 in binary format are 10111 and 01111, and their sum is calculated as

10111

+01111

100110

As you see, sums are simple as long as you remember to carry a 1 whenever you add 1 + 1. Multiplication is just as simple:

10111

01111

10111

10111  

10111    

10111       

00000         

101011001  

Find the following binary sums and products:

a. 11111 + 00001


b. 101010101 + 010101011


c. 111100011101 + 01001011111


d. (111) × (101)


e. (1010) × (0101)


f. (11111) × (11111)

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