Binary Numbers

Binary to Decimal

100

11

3

200

1100

12

300

10110

22

400

1010101

85

500

110000000

384

Decimal to Binary

100

6

110

200

28

11100

300

63

111111

400

118

1110110

500

516

1000000100

Word Problems

100

How many bits are needed to represent all of the letters in the English alphabet?

5 bits

200

What binary number comes after 1111111?

10000000

300

How many bytes are needed to represent all numbers up to 10,000?

2 bytes

400

A black and white picture is mapped onto a 160 x 120 pixel grid. If each pixel is represented by 1 bit, what is the total size of the image data in bytes?

2,400 bytes

500

How would you write the decimal number 15 in a ternary/trinary system?

120