Pronunciation: /ˈbaɪ.nɛ.ri ˈnʌm.bər/ Explain
A binary number is a number expressed in a
2 counting system. In a base 2 counting
system, there are only 2 digits: 0 and
910 = 10012|
Figure 1 illustrates that 9 in decimal
is equal to 1001 in binary
base 2). In
decimal, the first four place values to the left of the decimal are:
|1 = 100,|
|10 = 101,|
|100 = 102, and|
|1000 = 103.|
In decimal (base 10
), each place value is
times the previous place value.
In binary the first four places values are:
|1 = 20,|
|2 = 21,|
|4 = 22, and|
|8 = 23.|
In binary (base 2
) each place value is
times the previous place value. So
10012 = 1·8 + 0·4 +
0·2 + 1·1 = 9
Saying numbers in binary
When reading numbers in binary, don't use the terms 'hundred' and 'thousand'. These
words are defined only for the decimal numeration.
10012 is said, "One oh oh one base two".
When speaking, the word 'oh' is short for zero.
- McAdams, David E.. All Math Words Dictionary, binary number. 2nd Classroom edition 20150108-4799968. pg 26. Life is a Story Problem LLC. January 8, 2015. Buy the book
- binary. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 6/19/2018. http://www.merriam-webster.com/dictionary/binary number. Buy the book
- Conant, Levi Leonard, Ph.D.. The Number Concept, Its Origin and Development. pg 102. www.archive.org. Macmillan and Company. 1896. Last Accessed 6/19/2018. http://www.archive.org/stream/cu31924059316087#page/n117/mode/1up/search/binary. Buy the book
- McAdams, David E.. Binary. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 6/22/2018. https://www.allmathwords.org/en/b/binary.html.
Cite this article as:
McAdams, David E. Binary Number. 4/12/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/b/binarynumber.html.
4/12/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/22/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
1/8/2010: Added "References". (McAdams, David E.)
6/24/2008: Changed color scheme. (McAdams, David E.)
4/18/2008: Initial version. (McAdams, David E.)