Right-Left Decimal to Binary

Conversion Examples

Binary/Boolean Main Index

[Binary To Decimal Conversions] [Left-Right Decimal to Binary] [Right-Left Decimal to Binary] [Binary To Hex Conversions] [Hex To Decimal Conversions] [Right-Left Hex to Binary]

Here are several examples conversions from decimal to binary using the right-to-left method. In each case, we repeatedly divide the number by two, taking the sequence of remainders as the result. The remainders are the digits of the result, generated right-to-left; the first remainder generated is the lowest binary digit.

• 93₁₀ = 1011101₂:

0	R	1
21	R	0
22	R	1
25	R	1
211	R	1
223	R	0
246	R	1
293

• 71₁₀ = 1000111₂:

0	R	1
21	R	0
22	R	0
24	R	0
28	R	1
217	R	1
235	R	1
271

• 33₁₀ = 100001₂:

0	R	1
21	R	0
22	R	0
24	R	0
28	R	0
216	R	1
233

• 196₁₀ = 11000100₂:

0	R	1
21	R	1
23	R	0
26	R	0
212	R	0
224	R	1
249	R	0
298	R	0
2196

• 223₁₀ = 11011111₂:

0	R	1
21	R	1
23	R	0
26	R	1
213	R	1
227	R	1
255	R	1
2111	R	1
2223

• 992₁₀ = 1111100000₂:

0	R	1
21	R	1
23	R	1
27	R	1
215	R	1
231	R	0
262	R	0
2124	R	0
2248	R	0
2496	R	0
2992