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We appreciate your visit to In our first module we explored numeration systems and the different bases used by various cultures the Babylonian system was base 60 the Mayan system. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

In our first module, we explored numeration systems and the different bases used by various cultures: the Babylonian system was base 60, the Mayan system was base 20, and our Hindu-Arabic system is base 10. You also read in the Grace Hopper biography that computers use a base 2 system, which uses only two symbols, 0 and 1.

A. Convert the number 100 (base ten) to a numeral in base two.

B. Convert the number 1010101 (base two) to a numeral in base ten.

C. The moon is approximately 238,900 miles from Earth. Admiral Hopper explained that a nanosecond is one-billionth of a second. The maximum distance that light or electricity can travel in one nanosecond is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the Moon and come back to Earth? Leonard will tell you how long it took for the signal to go to the Moon and back.

Answer :

Answer:

1100100 base 2

85 base 10

2.522784 seconds

Step-by-step explanation:

Convert 100 from base 10 to the base 2

Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.

2 | 100

2 | 50 r 0

2 | 25 r 0

2 | 12 r 1

2 | 6 r 0

2 | 3 r 0

2 | 1 r 1

__0 r 1

Arranging from the bottom : 1100100 base 2

100 base 10 = 1100100 base 2

1010101 base 2 to base 10

1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0

64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10

C)

1 mile = 5280 feets

Distance from earth to moon = 238900 miles

Distance in feets :

(5280 * 238900) = 1261392000 feets

Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets

Using the relation :

Speed = distance / time

Speed = 1 feet per nano second

Distance = 2522784000 feets

1 = 2522784000 / time

Time = 2522784000 nano seconds

Converting to second :

2522784000 / 1000000000

= 2.522784 seconds

Thanks for taking the time to read In our first module we explored numeration systems and the different bases used by various cultures the Babylonian system was base 60 the Mayan system. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada