Convert decimal 168 to binary step by step using the subtraction method.

Question

Accepted Answer

168 = 10101000. Take 128 (1, leaves 40), skip 64, take 32 (1, leaves 8), skip 16, take 8 (1, leaves 0), then 0s.
Step-by-step (this is the worked example from the module):

Step
Question
Bit
Remainder

128
168 ≥ 128? Yes → subtract 128
1
168 − 128 = 40

64
40 ≥ 64? No
0
40

32
40 ≥ 32? Yes → subtract 32
1
40 − 32 = 8

16
8 ≥ 16? No
0
8

8
8 ≥ 8? Yes → subtract 8
1
8 − 8 = 0

4
0 ≥ 4? No
0
0

2
0 ≥ 2? No
0
0

1
0 ≥ 1? No
0
0

Result: 168 = 10101000
Check: 128 + 32 + 8 = 168 ✓
Go deeper:

RapidTables — decimal to binary converter — confirm 168 → 10101000 and try other octet values.

Step	Question	Bit	Remainder
128	168 ≥ 128? Yes → subtract 128	1	168 − 128 = 40
64	40 ≥ 64? No	0	40
32	40 ≥ 32? Yes → subtract 32	1	40 − 32 = 8
16	8 ≥ 16? No	0	8
8	8 ≥ 8? Yes → subtract 8	1	8 − 8 = 0
4	0 ≥ 4? No	0	0
2	0 ≥ 2? No	0	0
1	0 ≥ 1? No	0	0