Number Systems Flashcards
Which numbering system uses ten numbers starting with 0 thru 9?
decimal system, or base 10
Which numbering systems is very common in digital electronics and uses only two digits of 0 and 1?
The binary system, or base 2.
Each column added to the binary chart is ____ the value of the preceding column.
Each column added to the binary chart is 2 times the value of the preceding column.
Which numbering systems is very common in digital electronics and uses eight digits from 0 through 7?
The octal system, or base 8
Each column added to the octal chart is _____ the value of the preceding column.
Each column added to the octal chart is 8 times the value of the preceding column.
What is the octal number if the count is increased by 1?
100
Remember, the highest number in octal is 7. When the count of 7 is exceeded, place a zero in that column and add one to the next higher column.
Which numbering systems uses sixteen digits of:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
The hexadecimal system, or base 16
The numbers ten through fifteen are represented by the letters A through F.
Each column added to the hexadecimal chart is _____ the value of the preceding column.
Each column added to the hexadecimal chart is 16 times the value of the preceding column.
What is the hexadecimal number if the count is increased by 1?
A0
When the count of fifteen (F) is exceeded, a 0 is placed in that column and a 1 is added to the next higher column. Remember, letters (A-F) represent the numbers 10 through 15.
Name the four different number systems used in digital electronics.
In base 2, when the count reaches one, a place holder ____ is put in the 1’s column. The count starts at _____ again in the 2’s column.
In base 2, when the count reaches one, a place holder (zero) is put in the 1’s column. The count starts at 1 again in the 2’s column.
