Convert 12110 to binary using a repeated subtraction method

Convert 121₁₀ to binary using a.) repeated subtraction method b.) division remainder method

Solution

b)

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repeated subtraction method

2^13 12110-8192 3918 1

2^12 3918-0 3918 10

2^11 3918-2048 1870 101

2^10   1870-1024 846 1011

2^9 846-512 334 10111

2^8 334-256 78   101111

2^7 78-0 78   1011110

2^6 78-64 14 10111101

2^5 14-0 14   101111010

2^4 14-0 14   1011110100

2^3 14-8 6   10111101001

2^2 6-4 2   101111010011

2^1 2-2 0   1011110100111

2^3 0-0 0   10111101001110